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Arash Yavari

Associate Professor

Articles

  1. A. Yavari, Compatibility equations of nonlinear elasticity for non-simply-connected bodies, Archive for Rational Mechanics and Analysis, to appear.
  2. R. Mirzaeifar, R. DesRoches, A. Yavari, and K. Gall, On superelastic bending of shape-memory-alloy beams, International Journal of Solids and Structures, 10.1016/j.ijsolstr.2013.01.035.
  3. 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, to appear.
  4. A. Yavari and A. Goriely, Riemann-Cartan geometry of nonlinear disclination mechanics, Mathematics and Mechanics of Solids 18(1), 2013, pp. 91-102.
  5. 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.
  6. 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.
  7. A. Yavari and A. Goriely, Riemann-Cartan geometry of nonlinear dislocation mechanics, Archive for Rational Mechanics and Analysis 205(1), 2012, pp. 59–118.
  8. A. Yavari and J.E. Marsden, Covariantization of nonlinear elasticity, Zeitschrift fuer Angewandte Mathematik und Physik (ZAMP) 63(5), 2012, pp. 921-927.
  9. 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.
  10. 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.
  11. 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.
  12. A. Angoshtari and A. Yavari, Convergence analysis of the Wolf method for Coulombic interactions, Physics Letters A 375, 2011, pp. 1281-1285.
  13. 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.
  14. 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".
  15. A. Angoshtari and A. Yavari, Atomic structure of steps on 180^o ferroelectric domain walls in PbTiO3, Journal of Applied Physics 108, 084112, 2010.
  16. 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".
  17. A. Angoshtari and A. Yavari, Finite-temperature atomic structure of 180^o ferroelectric domain walls in PbTiO3, Europhysics Letters 90, 27007, 2010.
  18. A. Yavari, A geometric theory of growth mechanics, Journal of Nonlinear Science 20(6), 2010, pp. 781-830.
  19. A. Ozakin and A. Yavari, A geometric theory of thermal stresses, Journal of Mathematical Physics 51, 032902, 2010, pp. 1-32.
  20. 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.
  21. 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.
  22. 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.
  23. M.P. Wnuk and A. Yavari, A discrete cohesive model for fractal cracks, Engineering Fracture Mechanics 76, 2009, pp. 548-559.
  24. 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.
  25. A. Yavari and J.E. Marsden, Covariant balance laws in continua with microstructure, Reports on Mathematical Physics 63(1), 2009, pp. 1-42.
  26. 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 .
  27. A. Yavari, On geometric discretization of elasticity, Journal of Mathematical Physics 49, 022901, 2008, pp.1-36.
  28. A. Yavari and A. Ozakin, Covariance in linearized elasticity, Journal of Applied Mathematics and Physics (ZAMP) 59(6), 2008, pp.1081-1110.
  29. M.P. Wnuk and A. Yavari, Discrete fractal fracture mechanics, Engineering Fracture Mechanics 75(5), 2008, pp. 1127-1142.
  30. 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.
  31. 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.
  32. 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.
  33. 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.
  34. 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.
  35. M.P. Wnuk and A. Yavari, A correspondence principle for fractal and classical cracks, Engineering Fracture Mechanics 72, 2005, pp.2744-2757.
  36. 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./
  37. 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.
  38. 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.
  39. A. Yavari, Generalization of Barenblatt's cohesive fracture theory for fractal cracks, Fractals 10(2), 2002, pp. 189-198.
  40. 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.
  41. 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.
  42. 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.
  43. 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.
  44. 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.
  45. 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.
  46. 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.
  47. 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.
  48. 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.
  49. 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.
  50. 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.
  51. 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.
  52. 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.
  53. 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.
  54. 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.
  55. 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.
  56. M. Mofid and A. Yavari, Bending of unbonded multilayered beams and plates, Mechanics Research Communications 26(1), 1999, pp. 69-74.

Books

  1. 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.
  2. 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.

Proceedings

  1. A. Yavari, Nonlinear Mechanics of Point Defects and Weyl Geometry. 10th World Congress on Computational Mechanics. July 8-13. Sao Paulo, Brazil.
  2. 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.
  3. A. Yavari. Riemann-Cartan Geometry of Nonlinear Dislocation Mechanics, 12th Pan American Congress of Applied Mechanics. January 2-6, 2012. Port of Spain, Trinidad.
  4. A. Yavari. Discrete Fracture Mechanics of Rough Cracks, 12th Pan American Congress of Applied Mechanics. January 2-6, 2012. Port of Spain, Trinidad.
  5. 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.
  6. 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.
  7. 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.
  8. 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.
  9. 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.
  10. 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.
  11. 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.
  12. 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.
  13. 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.
  14. 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.
  15. 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.