### Arash Yavari

##### Professor & Group Coordinator

###### Mason 4158

###### 404.894.2436

## Biography

Professor Yavari joined the School of Civil and Environmental Engineering at the Georgia Institute of Technology in January 2005. He received his B.S. in Civil Engineering from Sharif University of Technology, Tehran, Iran in 1997. He continued his studies at The George Washington University where he obtained an M.S. in Mechanical Engineering in 2000. He then moved to Pasadena, CA and obtained his Ph.D. in Mechanical Engineering (Applied Mechanics option with minor in Mathematics) from the California Institute of Technology in 2005. Professor Yavari is a Fellow of the Society of Engineering Science and a member of the American Academy of Mechanics.

Professor Yavari's interests are in developing systematic theories of discrete mechanics for crystalline solids with defects. Defects play a crucial role in determining the properties of materials. The development of atomistic methods including density functional theory, bond-order potentials and embedded atom potentials has enabled a detailed study of such defects. However, much of the work is numerical and often with ad hoc boundary/far-field conditions. Specifically, a systematic method for studying these discrete yet non-local problems is lacking. Design in small scales requires solving inverse problems and this is not possible with purely numerical techniques. From a mechanics point of view, defective crystals are modeled as discrete boundary-value problems. The challenging issues are extending the existing techniques from solid state physics for non-periodic systems, new developments in the theory of vector-valued partial difference equations, existence and uniqueness of solutions of discrete boundary-value problems and their symmetries, etc. The other efforts in this direction are understanding the geometric structure of discrete mechanics and its link with similar attempts in the physics and computational mechanics literatures and investigating the rigorous continuum limits of defective crystals.

It has been known in physics for quite some time that the configuration spaces of physical phenomena, in general, are not linear, i.e. Euclidean, and instead they are manifolds (finite or infinite dimensional). Modeling physical theories on manifolds has been pursued for several decades in the theoretical physics literature and ideas from differential geometry have led to many profound advances in physics, the most celebrated one being Einstein's general theory of relativity. In engineering, and in particular in mechanics, manifold theory has not been appreciated perhaps mainly because engineering scientists have been involved in solving many specific technological problems in the last few decades and this has forced them to work with the simplest possible mathematical models. This need of working with simple models formulated in Euclidean spaces has resulted in a disconnect between different methods and a lack of deep understanding of the connections between different numerical methods, structure of governing equations of discrete and continuous systems, etc. One of Dr. Yavari's interests is to use ideas and techniques from differential geometry, exterior calculus, and algebraic topology in several problems in continuum and discrete mechanics in order to advance the understanding of different aspects of mechanics of continuous and discrete systems and their connections, differences and similarities.

## Education

- Ph.D. (Mechanical Engineering, Applied Mechanics Option with Minor in Mathematics), California Institute of Technology, 2005
- M.S. (Mechanical Engineering), The George Washington University, 2000
- B.S. (Civil Engineering), Sharif University of Technology, Tehran, Iran, 1997

## Research Interests

- Nonlinear elasticity and anelasticity
- Geometric mechanics
- Computational mechanics
- Mechanics of bulk and surface growth

## Honors

- Fellow of the Society of Engineering Science, 2018
- Engineering Fracture Mechanics Top 10 Most Cited Articles, 2005 to 2009.
- ScienceDirect Top25 Hottest Articles (see publications)

## Awards

- US Junior Oberwolfach Fellow, 2013
- OCCAM Visiting Fellow, Mathematical Institute, University of Oxford, Summer 2013
- Mathematics and Mechanics of Solids, Editorial Board Member 2011
- OCCAM Visiting Fellow, Mathematical Institute, University of Oxford, Summer 2011
- AFOSR Young Investigator Program Award, 2010
- OCCAM Visiting Fellow, Mathematical Institute, University of Oxford, Summer 2010
- Excellence in Research Award, Georgia Institute of Technology, 2010
- Bill Schultz Junior Faculty Teaching Award, Georgia Institute of Technology, 2007

## Articles

- A. Yavari and A. Golgoon, Nonlinear and linear elastodynamic transformation cloaking, Archive for Rational Mechanics and Analysis, to appear.
- F. Sozio and A. Yavari, Nonlinear mechanics of accretion, Journal of Nonlinear Science, DOI: 10.1007/s00332-019-09531-w.
- A. Golgoon and A. Yavari, Line and point defects in nonlinear anisotropic solids, Zeitschrift fur Angewandte Mathematik und Physik (ZAMP) 69, 2018, 81.
- M.F. Shojaei and A. Yavari, Compatible-strain mixed finite element methods for incompressible nonlinear elasticity, Journal of Computational Physics 361, 2018, pp. 247-279.
- A. Golgoon and A. Yavari, Nonlinear elastic inclusions in anisotropic solids, Journal of Elasticity 130, 2018, pp. 239-269.
- A. Golgoon and A. Yavari, On the stress field of a nonlinear elastic solid torus with a toroidal inclusion. Journal of Elasticity 128(1), 2017, pp. 115-145.
- A. Angoshtari, M.F. Shojaei, and A. Yavari, Compatible-strain mixed finite element methods for 2D nonlinear elasticity, Computer Methods in Applied Mechanics and Engineering 313, 2017, pp. 596-631.
- F. Sozio and A. Yavari, Nonlinear mechanics of surface growth for cylindrical and spherical elastic bodies, Journal of the Mechanics and Physics of Solids 98, 2017, pp. 12-48.
- S. Sadik and A. Yavari, On the origins of the idea of the multiplicative decomposition of the deformation gradient, Mathematics and Mechanics of Solids 22, 2017, pp. 771-772.
- S. Sadik and A. Yavari, Geometric nonlinear thermoelasticity and the time evolution of thermal stresses, Mathematics and Mechanics of Solids 22 (7), 2017, pp. 1546-1587.
- A. Yavari and A. Goriely, The anelastic Ericksen problem: Universal eigenstrains and deformations in compressible isotropic elastic solids. Proceedings of the Royal Society A 472, 2016, 20160690.
- A. Angoshtari and A. Yavari, Hilbert complexes of nonlinear elasticity. Zeitschrift fur Angewandte Mathematik und Physik (ZAMP) 67(6):143, 2016.
- S. Sadik and A. Yavari, Small-on-large geometric anelasticity. Proceedings of the Royal Society A 472, 2016, 20160659.
- A. Yavari, A. Ozakin, and S. Sadik, Nonlinear elasticity in a deforming ambient space, Journal of Nonlinear Science 26(6), 2016, pp. 1651-1692.
- A. Golgoon, S. Sadik, and A. Yavari, Finite circumferentially-symmetric eigenstrains in incompressible nonlinear isotropic elastic wedges, International Journal of Non-Linear Mechanics 84, 2016, pp. 116-129.
- S. Sadik, A. Angoshtari, A. Goriely, and A. Yavari, A geometric theory of nonlinear morphoelastic shells, Journal of Nonlinear Science 26(4), 2016, pp. 929-978.
- A. Yavari, On the wedge dispiration in an inhomogeneous isotropic nonlinear elastic solid, Mechanics Research Communications 78, 2016, pp. 55-59.
- A. Angoshtari and A. Yavari, The weak compatibility equations of nonlinear elasticity and the insufficiency of the Hadamard jump condition for non-simply connected bodies, Continuum Mechanics and Thermodynamics 28(5), 2016, 1347-1359
- A. Yavari and A. Goriely, The twist-fit problem: Finite torsional and shear eigenstrains in nonlinear elastic solids, Proceedings of the Royal Society A 471, 2015, 20150596.
- A. Angoshtari and A. Yavari, On the compatibility equations of nonlinear and linear elasticity in the presence of boundary conditions, Zeitschrift fur Angewandte Mathematik und Physik (ZAMP) 66(6), 2015, pp. 3627-3644.
- A. Angoshtari and A. Yavari, Differential complexes in continuum mechanics, Archive for Rational Mechanics and Analysis 216, 2015, pp. 193-220.
- A. Yavari and A. Goriely, On the stress singularities generated by anisotropic eigenstrains and the hydrostatic stress due to annular inhomogeneities, Journal of the Mechanics and Physics of Solids 76, 2015, pp. 325-337.
- A. Yavari and A. Goriely, The geometry of discombinations and its applications to semi-inverse problems in anelasticity, Proceedings of the Royal Society A 470, 2014, 20140403.
- R. Mirzaeifar, T. Zhu, K. Gall, A. Yavari, and R. DesRoches. Structural transformations in NiTi shape memory alloy nanowires, Journal of Applied Physics 115, 2014, 194307.
- A. Ozakin and A. Yavari, Affine development of closed curves in Weitzenbock manifolds and the Burgers vector of dislocation mechanics, Mathematics and Mechanics of Solids 19, 2014, pp. 299-307.
- N.D. Afify, H.G. Salem, A. Yavari, and T. El Sayed, Consolidation of nanometer-sized aluminum single crystals: microstructure and defects evolutions, Computational Materials Science 85, 2014, pp. 306-309.
- A. Yavari and A. Goriely, Riemann-Cartan geometry of nonlinear disclination mechanics, Mathematics and Mechanics of Solids 18(1), 2013, pp. 91-102.
- A. Yavari and A. Gorley, Nonlinear elastic inclusions in isotropic solids, Proceedings of the Royal Society A 469, 2013, 20130415.
- N.D. Afify, H.G. Salem, A. Yavari, and T. El Sayed, Mechanism of the superior mechanical strength of nanometer-sized metal single crystals revealed, Computational Materials Science 78, 2013, pp. 34-38.
- R. Mirzaeifar, R. DesRoches, A. Yavari, and K. Gall, A micromechanical analysis of the coupled thermomechanical superelastic response of textured and untextured polycrystalline NiTi shape memory alloys, Acta Materialia 61, 2013, pp. 4542-4558.
- A. Yavari, Compatibility equations of nonlinear elasticity for non-simply-connected bodies, Archive for Rational Mechanics and Analysis 209(1), 2013, pp. 237-253.
- A. Angoshtari and A. Yavari, A geometric structure-preserving discretization scheme for incompressible linearized elasticity, Computer Methods in Applied Mechanics and Engineering 259, 2013, pp. 130-153.
- R. Mirzaeifar, R. DesRoches, A. Yavari, and K. Gall, On superelastic bending of shape-memory-alloy beams, International Journal of Solids and Structures 50, 2013, pp. 1664-1680.
- A. Yavari and A. Goriely, Weyl geometry and the nonlinear mechanics of distributed point defects, Proceedings of The Royal Society A 468, 2012, pp. 3902-3922.
- R. Mirzaeifar, R. DesRoches, A. Yavari, and K. Gall, Coupled thermo-mechanical analysis of shape memory alloy circular bars in pure torsion, International Journal of Non-Linear Mechanics 47, 2012, pp. 118-128.
- A. Yavari and A. Goriely, Riemann-Cartan geometry of nonlinear dislocation mechanics, Archive for Rational Mechanics and Analysis 205(1), 2012, pp. 59–118.
- A. Yavari and J.E. Marsden, Covariantization of nonlinear elasticity, Zeitschrift fuer Angewandte Mathematik und Physik (ZAMP) 63(5), 2012, pp. 921-927.
- H. Khezrzadeh, M.P. Wnuk, and A. Yavari, Influence of material ductility and crack surface roughness on fracture instability, Journal of Physics D: Applied Physics 44, 2011, 395302.
- R. Mirzaeifar, R. DesRoches, and A. Yavari, Analysis of rate-dependent coupled thermo-mechanical response of shape memory alloy bars and wires in tension, Continuum Mechanics and Thermodynamics 23, 2011, pp. 363-385.
- R. Mirzaeifar, M. Shakeri, R. DesRoches, and A. Yavari, A semi-analytic analysis of shape memory alloy thick-walled cylinders under internal pressure, Archive of Applied Mechanics 81, 2011, pp. 1093-1116.
- A. Angoshtari and A. Yavari, Convergence analysis of the Wolf method for Coulombic interactions, Physics Letters A 375, 2011, pp. 1281-1285.
- A. Angoshtari and A. Yavari, Effect of external normal and parallel electric fields on 180^o ferroelectric domain walls in PbTiO3, Journal of Physics: Condensed Matter 23, 2011, 035901.
- R. Mirzaeifar, R. DesRoches, and A. Yavari, A combined theoretical, numerical, and experimental study of shape-memory-alloy helical springs, International Journal of Solids and Structures 48, 2011, pp. 611-624. "ScienceDirect Top25 Hottest Articles for the journal, January to March 2011".
- A. Angoshtari and A. Yavari, Atomic structure of steps on 180^o ferroelectric domain walls in PbTiO3, Journal of Applied Physics 108, 084112, 2010.
- R. Mirzaeifar, R. DesRoches, and A. Yavari, Exact solutions for pure torsion of shape-memory-alloy circular bars, Mechanics of Materials 42, 2010, pp. 797-806. "ScienceDirect Top25 Hottest Articles for the journal, July to September 2010".
- A. Angoshtari and A. Yavari, Finite-temperature atomic structure of 180^o ferroelectric domain walls in PbTiO3, Europhysics Letters 90, 27007, 2010.
- A. Yavari, A geometric theory of growth mechanics, Journal of Nonlinear Science 20(6), 2010, pp. 781-830.
- A. Ozakin and A. Yavari, A geometric theory of thermal stresses, Journal of Mathematical Physics 51, 032902, 2010, pp. 1-32.
- A. Yavari and A. Angoshtari, Structure of defective crystals at finite temperatures: A quasi-harmonic lattice dynamics approach, International Journal of Solids and Structures 47, 2010, pp. 1807-1821.
- A. Yavari and H. Khezrzadeh, Estimating terminal velocity of rough cracks in the framework of discrete fractal fracture mechanics, Engineering Fracture Mechanics 77, 2010, pp. 1516-1526.
- A. Angoshtari and A. Yavari, Effect of strain and oxygen vacancies on the atomic structure of 180^o ferroelectric domain walls in PbTiO3, Computational Materials Science 48, 2010, pp. 258-266.
- M.P. Wnuk and A. Yavari, A discrete cohesive model for fractal cracks, Engineering Fracture Mechanics 76, 2009, pp. 548-559.
- S. Kavianpour and A. Yavari, Anharmonic analysis of defective crystals with many-body interactions using symmetry reduction, Computational Materials Science 44, 2009, pp.1296-1306.
- A. Yavari and J.E. Marsden, Covariant balance laws in continua with microstructure, Reports on Mathematical Physics 63(1), 2009, pp. 1-42.
- A. Yavari and J. E. Marsden, Energy balance invariance for interacting particle systems, Journal of Applied Mathematics and Physics (ZAMP) 60(4), 2009, pp. 723-738 .
- A. Yavari, On geometric discretization of elasticity, Journal of Mathematical Physics 49, 022901, 2008, pp.1-36.
- A. Yavari and A. Ozakin, Covariance in linearized elasticity, Journal of Applied Mathematics and Physics (ZAMP) 59(6), 2008, pp.1081-1110.
- M.P. Wnuk and A. Yavari, Discrete fractal fracture mechanics, Engineering Fracture Mechanics 75(5), 2008, pp. 1127-1142.
- A. Yavari, M. Ortiz, and K. Bhattacharya, A theory of anharmonic lattice statics for analysis of defective crystals, Journal of Elasticity 86, 2007, pp. 41 - 83.
- A. Yavari, M. Ortiz, and K. Bhattacharya, Anharmonic lattice statics analysis of 180^o and 90^o ferroelectric domain walls in PbTiO3, Philosophical Magazine 87(26), 2007, pp. 3997-4026.
- E. Kanso, M. Arroyo, Y. Tong, A. Yavari, J.E. Marsden, and M. Desbrun, On the geometric character of stress in continuum mechanics, Journal of Applied Mathematics and Physics (ZAMP), 58(5), 2007, pp. 843-856.
- Z.P. Bazant and A. Yavari, Response to A. Carpinteri, B. Chiaia, P. Cornetti and S. Puzzi's Comments on "Is The Cause of Size Effect on Structural Strength Fractal or energetic-Statistical?", Engineering Fracture Mechanics 74, 2007, pp. 2897-2910.
- A. Yavari, J.E. Marsden, and M. Ortiz, On spatial and material covariant balance laws in elasticity, Journal of Mathematical Physics, 47, 2006, 042903; pp. 1-53.
- M.P. Wnuk and A. Yavari, A correspondence principle for fractal and classical cracks, Engineering Fracture Mechanics 72, 2005, pp.2744-2757.
- Z.P. Bazant and A. Yavari, The cause of size effect on structural strength: Is it fractal or energetic-statistical?, Engineering Fracture Mechanics72, 2005, pp.1-31./Engineering Fracture Mechanics Top 10 Most Cited Articles, 2005 to 2009./
- A. Nosier and A. Yavari, Surface balance laws of linear and angular momenta and Cauchy's stress theorem, Scientia Iranica 11(1-2), 2004, pp.21-25.
- M.P. Wnuk and A. Yavari, On estimating stress intensity factors and modulus of cohesion for fractal cracks, Engineering Fracture Mechanics 70, 2003, pp. 1659-1674.
- A. Yavari, Generalization of Barenblatt's cohesive fracture theory for fractal cracks, Fractals 10(2), 2002, pp. 189-198.
- A. Yavari, S. Sarkani, and E.T. Moyer, Jr., The mechanics of self-similar and self-affine fractal cracks, International Journal of Fracture 114(1), 2002, pp. 1-27.
- A. Yavari, S. Sarkani , and E.T. Moyer, Jr., On fractal cracks in micropolar elastic solids, ASMEJournal of Applied Mechanics 69(1), 2002, pp. 45-54.
- A. Yavari, M. Nouri, and M. Mofid, Discrete element analysis of dynamic response of Timoshenko beams under moving mass, Advances in Engineering Software 33(3), 2002, pp. 143-153.
- A. Nosier, A. Yavari, and S. Sarkani, On a boundary layer phenomenon in Mindlin-Reissner plate theory for laminated circular sector plates, Acta Mechanica 151(3-4), 2001, pp. 149-161.
- A. Nosier, A. Yavari, and S. Sarkani, A study of the edge-zone equation of Mindlin-Reissner plate theory in bending of laminated rectangular plates, Acta Mechanica 146(3-4), 2001, pp. 227-238.
- A. Yavari, S. Sarkani, and J.N. Reddy, On nonuniform Euler-Bernoulli and Timoshenko beams with jump discontinuities: Application of distribution theory, International Journal of Solids and Structures 38(46-47) 2001, pp. 8389-8406.
- A. Yavari, S. Sarkani, and J.N. Reddy, Generalized solutions of beams with jump discontinuities on elastic foundations, Archive of Applied Mechanics 71(9), 2001, pp. 625-639.
- A. Yavari and S. Sarkani, On applications of generalized functions to the analysis of Euler-Bernoulli beam-columns with jump discontinuities, International Journal of Mechanical Sciences 43(6) 2001, pp. 1543-1562.
- A. Yavari, A. Kaveh, S. Sarkani, and H.A.R. Bondarabady, Topological aspects of meshless methods and nodal ordering for meshless discretizations, International Journal for Numerical Methods in Engineering 52 (9) 2001, pp. 921-938.
- M. Mofid, R. Alizadegan , B. Ashuri, and A.Yavari, Computing the kern of a general cross-section, Advances in Engineering Software 32(12), 2001, pp.949-955.
- A. Yavari, K.G. Hockett , and S. Sarkani, The fourth mode of fracture in fractal fracture mechanics, International Journal of Fracture 101(4), 2000, pp. 365-384.
- A. Nosier , A. Yavari, and S. Sarkani, Study of edge-zone equation of Mindlin-Reissner plate theory, ASCE Journal of Engineering Mechanics 126(6), 2000, pp.647-651.
- A. Yavari, S. Sarkani, and E. T. Moyer, Jr., On applications of generalized functions to beam bending problems, International Journal of Solids and Structures 37(40), 2000, pp. 5675-5705.
- M. Mofid and A. Yavari, On the kern of a general cross section, International Journal of Solids and Structures 37(17), 2000, pp. 2377-2403.
- A. Yavari, E.T. Moyer, Jr., and S. Sarkani, A reappraisal of transition elements in linear elastic fracture mechanics, International Journal of Fracture 100(3), 1999, pp. 227-248.
- A. Yavari, S. Sarkani , and E. T. Moyer, Jr., On quadratic isoparametric transition elements for a crack normal to a bimaterial interface, International Journal for Numerical Methods in Engineering 46(3), 1999, pp. 457-469.
- M. Mofid and A. Yavari, Bending of unbonded multilayered beams and plates, Mechanics Research Communications 26(1), 1999, pp. 69-74.

## Books

- A. Yavari and A. Goriely (2015). Non-Metricity and the Nonlinear Mechanics of Distributed Point Defects. In: R. J. Knops, G.-Q. Chen, and M. Grinfeld (Editors), Differential Geometry and Continuum Mechanics, Springer Proceedings in Mathematics & Statistics (PROMS)
- A. Yavari and A. Angoshtari (2013). Atomic Structure of 180^o Ferroelectric Domain Walls in PbTiO_3. In: S. Li and X-L. Gao (Editors), Handbook of Micromechanics and Nanomechanics, Pan Stanford Publishing.
- Yavari, A. and M.P. Wnuk (2009). Finite Fracture Mechanics for Fractal Cracks. In: F. M. Borodich (Editor) IUTAM Symposium on Scaling in Solid Mechanics, Springer, pp. 223-231.

## Proceedings

- A. Yavari, Nonlinear Mechanics of Point Defects and Weyl Geometry. 10th World Congress on Computational Mechanics. July 8-13. Sao Paulo, Brazil.
- R. Mirzaeifar, R. DesRoches, A. Yavari . K. Gall. Bending analysis of textured polycrystalline shape memory alloy beams. ASME Conference on Smart Materials, Adaptive Structures & Intelligent Systems (SMASIS 2012). September 19-21. Stone Mountain, Georgia, USA.
- A. Yavari. Riemann-Cartan Geometry of Nonlinear Dislocation Mechanics, 12th Pan American Congress of Applied Mechanics. January 2-6, 2012. Port of Spain, Trinidad.
- A. Yavari. Discrete Fracture Mechanics of Rough Cracks, 12th Pan American Congress of Applied Mechanics. January 2-6, 2012. Port of Spain, Trinidad.
- R. Mirzaeifar, R. DesRoches, A. Yavari . K. Gall. A Closed-form Solution for Superelastic Shape Memory Alloy Beams Subjected to Bending. SPIE Smart Structures/NDE (2012). March 11-15. San Diego, California, USA.
- R. Mirzaeifar, W. Yang, A. Yavari, R. DesRoches. Experimental Evaluation and Numerical Analysis of Shape Memory Alloy ``S" Shaped Elements Used as Energy Dissipating Devices. The 6th International Symposium on Steel Structures (ISSS 2011). November 3-5, 2011. Seoul, Korea.
- R. Mirzaeifar, R. DesRoches, A. Yavari. Is the stress distribution uniform in the cross section of SMA bars subjected to uniaxial loading? ASME Conference on Smart Materials, Adaptive Structures & Intelligent Systems (SMASIS 2011). September 18-21, 2011. Scottsdale, Arizona, USA.
- R. Mirzaeifar, R. DesRoches, A. Yavari. Exact solution for pure torsion of SMA curved bars with application to analyzing SMA helical springs. ASME Conference on Smart Materials, Adaptive Structures & Intelligent Systems (SMASIS 2011). September 18-21, 2011. Scottsdale, Arizona, USA.
- R. Mirzaeifar, R. DesRoches, A. Yavari. A Simplified Constitutive Model for Simulating the Rate-Dependent Superelastic Shape Memory Alloys in Fast Loadings. 52nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. 4-7 Apr 2011, Denver, Colorado.
- A. Yavari and A. Ozakin, A Covariant Continuum Theory of Solids with Distributed Defects, 13th International Symposium on Plasticity and its Current Applications, Alaska, June 2007.
- A. Yavari and A. Ozakin, A covariant continuum theory of solids with distributed defects, Modeling of Heterogeneous Materials with Applications in Construction and Biomedical Engineering, Prague, Czech Republic, 25-27 June, 2007.
- A. Yavari, M. Ortiz and K. Bhattacharya, Atomic structure of ferroelectric domain walls, SIAM Conference on Mathematical Aspects of Materials Science, May 23-26, 2004. Los Angeles.
- M. P. Wnuk and A. Yavari, Characteristic length inherent in a fractal cohesive crack model, Invited Paper, ICF - International Congress on Fracture, Interquadrennial Conference: Fracture at Multiple Dimensions, June 23-26, 2003. Moscow, Russia.
- M. Mofid and A. Yavari, Element stiffness matrix and second-order tensors, Proceedings of The Fourth International Conference on Civil Engineering, Volume I, Tehran, May 4-6,1997, pp. 59-65.
- M. Mofid and A. Yavari, An energy approach for a special problem in bending of beams, Proceedings of The Fourth International Conference on Civil Engineering, Volume I,Tehran , May 4-6, 1997, pp.105-115.

## Presentations

- Elastodynamic Transformation Cloaking, International Conference on Plasticity, Damage, and Fracture, Panama City, Panama, January 6, 2019.
- Nonlinear Mechanics of Accretion, Society of Engineering Science (SES) 55th Annual Technical Meeting, Madrid, Spain, October 11, 2018.
- Nonlinear and Linear Elastodynamics Transformation Cloaking, Solid Mechanics Laboratory, Ecole Polytechnique, France, September 6, 2018.
- Line and Point Defects in Nonlinear Anisotropic Solids, 2018 SIAM Conference on Mathematical Aspects of Materials Science, Portland, Oregon, July 13, 2018.
- Nonlinear Mechanics of Accretion, 2018 SIAM Conference on Mathematical Aspects of Materials Science, Portland, Oregon, July 11, 2018.
- Nonlinear and Linear Elastodynamics Transformation Cloaking, Mathematics and Mechanics: Natural Philosophy in the 21st Century, Conference in honor of Professor Sir John Ball’s 70th birthday, Mathematical Institute, University of Oxford, June 25, 2018.
- Nonlinear and Linear Elastodynamics Transformation Cloaking, Department of Mechanical and Aerospace Engineering, Brunel University London, June 21, 2018.
- Nonlinear and Linear Elastodynamics Transformation Cloaking, International Conference on Plasticity, Damage, and Fracture, San Juan, Puerto Rico, January 5, 2018.
- Nonlinear and Linear Elastodynamics Transformation Cloaking, Society of Engineering Science (SES) 54th Annual Technical Meeting, Symposium in honor of Zdenek Bazant's 80th Birthday, Northeastern University, Boston, July 26, 2017.
- Nonlinear and Linear Elastodynamics Transformation Cloaking, Material Theories, Mathematisches Forschungsinstitut Oberwolfach, Germany, July 19, 2017.
- Nonlinear Mechanics of Surface Growth for Cylindrical and Spherical Elastic Bodies, Department of Aeronautics, Imperial College London, London, June 26, 2017.
- Nonlinear Mechanics of Surface Growth for Cylindrical and Spherical Elastic Bodies, Nonconvexity, Nonlocality and Incompatibility: From Materials to Biology, Conference in honor of Lev Truskinovsky's 60th birthday, University of Pittsburgh, May 6, 2017.
- Nonlinear Mechanics of Surface Growth for Cylindrical and Spherical Elastic Bodies, The 3rd EMI International Conference, Rio de Janeiro, Brazil, March 20, 2017.
- Discombinations in Nonlinear Elastic Solids, APS March Meeting, New Orleans, March 13, 2017.
- Nonlinear Mechanics of Surface Growth for Cylindrical and Spherical Elastic Bodies, International Conference on Plasticity, Damage, and Fracture, Puerto Vallarta, Mexico, January 6, 2017.
- Non-Riemannian Geometries and the Nonlinear Mechanics of Distributed Defects, Department of Biomedical Engineering and Mechanics, Virginia Tech, December 7, 2016.
- Nonlinear Mechanics of Surface Growth for Cylindrical and Spherical Elastic Bodies, Society of Engineering Science (SES) 53th Annual Technical Meeting, University of Maryland, College Park, October 3, 2016.
- Compatible-Strain Mixed Finite Elements for 2D Compressible Nonlinear Elasticity, The 12th World Congress on Computational Mechanics, Seoul, South Korea, July 26, 2016.
- Nonlinear Elasticity in a Deforming Ambient Space, The Role of Mechanics in the Study of Lipid Bilayers, International Center for Mechanical Sciences (CISM), Udine, Italy, July 14, 2016.
- Discombinations in Nonlinear Elastic Solids, Emerging Trends in Applied Mathematics and Mechanics, Perpignan, France, May 31, 2016.
- Finite Dilatational, Torsional, and Shear Eigenstrains in Nonlinear Elastic Solids. Universitat Politecnica de Catalunya Barcelonatech, Spain, May 27, 2016.
- The Twist-Fit Problem: Finite Torsional and Shear Eigenstrains in Nonlinear Elastic Solids. International Symposium on Plasticity and Its Current Applications, Keauhou Bay, Hawaii, January 6, 2016.
- The Geometry of Discombinations in Nonlinear Elastic Solids, Material Theories, Mini-Workshop on Scales in Plasticity, Mathematisches Forschungsinstitut Oberwolfach, November 12, 2015.
- Differential Complexes in Nonlinear Elasticity, 53rd Meeting of the Society for Natural Philosophy, The University of Calgary, Canada, August 21, 2015.
- Differential Complexes in Continuum Mechanics, Fifteenth Pan American Congress of Applied Mechanics, University of Illinois at Urbana-Champaign, May 20, 2015.
- Differential Complexes in Continuum Mechanics, 1st Pan-American Congress on Computational Mechanics, Buenos Aires, Argentina, April 28, 2015.
- Nonlinear Elastic Inclusions in Nonlinear Isotropic Solids. (Invited Speaker) Symposium in Honor of Professor Kaushik Bhattacharya's 50th Birthday, California Institute of Technology, January 9, 2015.
- Nonlinear Elastic Inclusions in Nonlinear Isotropic Solids. (Keynote Speaker) International Symposium on Plasticity and Its Current Applications, Montego Bay, Jamaica, January 6, 2015.
- Nonlinear Elastic Inclusions in Nonlinear Isotropic Solids. Fakultat fur Mathematik, Universitat Duisburg-Essen, Germany, September 5, 2014.
- Differential Complexes in Continuum Mechanics, IUTAM Symposium on innovative numerical approaches for materials and structures in multi-feld and multi-scale problems, Burg Schnellenberg, Germany, September 2, 2014.
- Non-Riemannian Geometries and the Nonlinear Mechanics of Distributed Defects, RIMS International Conference: Mathematical Challenge to a New Phase of Materials Science, Kyoto University, Japan, August 4-9, 2014.
- Non-Riemannian Geometries and the Nonlinear Mechanics of Distributed Defects, Multiscale Materials Modeling: Mathematical and Computational Aspects, 7th US -- France Symposium, Rensselaer Polytechnic Institute, June 10-11, 2014.
- Nonlinear Elastic Inclusions in Nonlinear Isotropic Solids. Fourteenth Pan American Congress of Applied Mechanics, Santiago, Chile, March 24, 2014.
- A Geometric Formulation of the Nonlinear Mechanics of Distributed Defects and Inclusions, Department of Civil and Environmental Engineering, Northwestern University, March 5, 2014.
- Nonlinear Elastic Inclusions in Isotropic Solids. (Invited Speaker), Continuum Mechanics and Differential Geometry, Center for the Mathematics and Mechanics of Complex Systems, Cisterna di Latina, Italy, February 17-22, 2014.
- Riemann-Cartan-Weyl Geometries and the Nonlinear Mechanics of Distributed Defects. University of Florence, Italy, February 21, 2014.
- A Geometric Formulation of the Nonlinear Mechanics of Distributed Defects. (Invited Speaker), Symposium on New Developments in Defect Mechanics, University of California, San Diego, January 19, 2014.
- Combined Line and Point Defects in Isotropic Nonlinear Elastic Solids. (Keynote Speaker), International Symposium on Plasticity and Its Current Applications, Freeport, Bahamas, January 6, 2014.
- Non-Riemannian Geometries and the Nonlinear Mechanics of Distributed Defects, Material Theories, Mathematisches Forschungsinstitut Oberwolfach, Germany, December 19, 2013.
- Weyl Geometry and the Nonlinear Mechanics of Distributed Point Defects, Society of Engineering Science (SES) 50th Annual Technical Meeting, Brown University, Providence, July 29, 2013.
- Weyl Geometry and the Nonlinear Mechanics of Distributed Point Defects, 4th Canadian Conference on Nonlinear Solid Mechanics, McGill University, Montreal, Canada, July 23, 2013.
- Weyl Geometry and the Nonlinear Mechanics of Distributed Point Defects, Differential Geometry and Continuum Mechanics, International Center for Mathematical Sciences (ICMS), Edinburgh, June 17, 2013.
- Weyl Geometry and the Nonlinear Mechanics of Distributed Point Defects, Department of Mechanical Engineering, University of California at Berkeley, April 4, 2013.
- Riemann-Cartan Geometry and the Nonlinear Mechanics of Distributed Dislocations, The Maseeh Mathematics & Statistics Colloquium Series, Portland State University, March 1, 2013.
- Riemann-Cartan Geometry of Nonlinear Dislocation Mechanics, Department of Mechanical and Aerospace Engineering, University of California at Irvine, January 25, 2013.
- Riemann-Cartan Geometry of Nonlinear Dislocation Mechanics. (Keynote Speaker), International Symposium on Plasticity and Its Current Applications, Nassau, Bahamas, January 8, 2013.
- Structure-Preserving Discretization of Incompressible Linearized Elasticity (Planetary Lecture), NSF Workshop on Barycentric Coordinates in Geometry Processing and Finite/Boundary Element Methods, Columbia University, July 26, 2012.
- Nonlinear Mechanics of Distributed Defects and the Riemann-Cartan-Weyl Geometries, Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, July 18, 2012.
- Weyl Geometry and the Nonlinear Mechanics of Distributed Point Defects, 10th World Congress on Computational Mechanics, Sao Paulo, Brazil, July 11, 2012.
- Nonlinear Mechanics of Point Defects and Weyl Geometry (Invited Presentation), Nonlocal Continuum Models for Diffusion, Mechanics, and Other Applications, SAMSI, June 26, 2012.
- Nonlinear Elasticity, Defects, and Differential Geometry, Mathematical Institute, University of Oxford, April 27, 2012.
- Riemann-Cartan Geometry of Nonlinear Dislocation Mechanics, School of Mechanical Engineering, Georgia Institute of Technology, April 12, 2012.
- Riemann-Cartan Geometry of Nonlinear Dislocation Mechanics, School of Mathematics, Georgia Institute of Technology, April 9, 2012.
- Riemann-Cartan Geometry of Nonlinear Dislocation Mechanics, 12th Pan American Congress of Applied Mechanics. January 2-6, 2012. Port of Spain, Trinidad.
- Riemann-Cartan Geometry of Nonlinear Dislocation Mechanics, Institute for Computational Engineering and Sciences, University of Texas at Austin, November 29, 2011.
- Riemann-Cartan Geometry of Nonlinear Dislocation Mechanics, Department of Civil Engineering, Sharif University of Technology, November 14, 2011.
- Geometric Anelasticity, IMA Hot Topics Workshop, Strain Induced Shape Formation: Analysis, Geometry and Materials Science, May 19, 2011.
- A Geometric Approach to the Mechanics of Growing Bodies, University of Maine, April 22, 2011.
- Geometric Mechanics of Growing Bodies, Johns Hopkins University, March 10, 2011.
- Riemannian Geometry of Bulk Growth, Mathematical Foundations of Mechanical Biology, Banff International Research Station for Mathematical Innovation and Discovery (BIRS), September 28, 2010.
- Geometry of Elasticity and Anelasticity, Imperial College London, Department of Mathematics, July 20, 2010.
- Mechanics and Geometry, University of Oxford, Mathematical Institute, March 26, 2010.
- Discrete Fracture Mechanics of Rough Cracks, ETH Zurich, Institute of Structural Engineering, March 8, 2010.
- Lattice Dynamics Analysis of Finite-Temperature Structure of Defective Crystals, University of South Carolina, Department of Mechanical Engineering, February 19, 2010.
- Geometric Elasticity and Anelasticity, Pennsylvania State University, Department of Mathematics, November 16, 2009.
- Geometry and Solid Mechanics, University of Houston, Department of Mechanical Engineering, October 9, 2008.
- Geometrization of continuum and discrete mechanics, California Institute of Technology, Applied and Computational Mathematics Colloquium, January 28, 2008.
- Geometrization of Continuum and Discrete Mechanics, U.S. Army Research Laboratory, Aberdeen, Maryland, May 7, 2008.
- Geometrization of Continuum and Discrete Mechanics, Sharif University of Technology, Tehran, Iran, December 13, 2008.
- Fractal aspects of discrete crack propagation, IUTAM Symposium on Scaling in Solid Mechanics, Cardiff University, Wales, 25-29 June 2007.
- Geometrization of Continuum and Discrete Mechanics, Clemson University, November 9, 2007.
- Anharmonic Lattice Statics Analysis of Defective Crystals with Many-Body Interactions, 7th World Congress on Computational Mechanics, July 16-22, 2006, Los Angeles, California.
- Anharmonic lattice statics analysis of defective crystals, Johns Hopkins University, November 22, 2005.
- Structure of Ferroelectric Domain Walls in the Nanoscale, SIAM 2nd International Conference on Multiscale Materials Modeling (MMM-II), October 11-15, 2004. University of California, Los Angeles.
- Atomic Structure of Ferroelectric Domain Walls, Aerospace Engineering and Mechanics Department, University of Minnesota, April 8, 2004.
- Atomic Structure of Ferroelectric Domain Walls, Department of Aerospace Engineering, Texas A&M University, April 12, 2004.
- Atomic Structure of Ferroelectric Domain Walls, Department of Aerospace Engineering, Virginia Tech, April 27, 2004.
- Fractal Fracture Mechanics, Sharif University of Technology, September 2001, Tehran, Iran.