Prof. Shodja picture

Hossein M. Shodja

Professor, Department of Civil Engineering and Institute for Nanoscience and Nanotechnology

Head of Civil Engineering Department, Sharif University of Technology International Campus, Kish Island, Iran, 2009-2010

Member of Center of Excellence in Structures and Earthquake Engineering, Sharif University of Technology, Iran

Department of Civil Engineering, Sharif University of Technology, P.O. Box 11155-9313, Tehran, Iran

Tel: +982166164209 – Fax: +982166072555


Professional Societies

Academic Services

Academic Honors

Distinguished investigator at Sharif University of Technology, 2005, 2006 and 2011.

Academic Career

Teaching Interests

Current Research Topics

Current Research Interests

Various problems in the field of theoretical and applied mechanics, particularly, Nano/micro-scale modeling of defects in ultra-small objects and thin films via atomistic approaches, augmented continuum theories, and micromechanical considerations; capturing the surface and size effects. Ab initio calculations of the characteristic lengths of the crystalline materials in first and second strain gradient elasticity. Micromechanical based theories for the prediction of the overall behavior of elastic solids with high concentration of multi-phase particles as well as calculations of the effective moduli of nano-composites based on higher order theories. Employment of the combined analytical and first principles calculations based on density functional theory to study the mechanical behavior of carbon nano-tubes. Determination of the surface energy, surface stress, and surface elastic constants of ideal and reconstructed surfaces via combined first principles and analytical treatments.

One of the special interests is the basic research in the development of theorems associated with the multi-inclusions, multi-inhomogeneities (with anisotropic constituents), and impotent eigenstrains which are of fundamental importance in the study of micromechanics of defects in solids. These theorems are concerned with the prediction of the exact nature of the elastic fields within the constituent phases of a multi-inhomogeneous inclusion and its surrounding matrix under general far-field loading. Introduction of such innovative viewpoints of equivalent inclusion method (EIM) as the spectral EIM for rigorous and exact determination of the elastic fields; introduction of the notion of eigenbody-force fields needed for a sound basis of the dynamic EIM (DEIM). Moreover, extension of the concept of eigenstrain to the atomistic level in the atomistic study of thin-films; relation between eigenstrain and potential function suitable for accounting for the short and long range inter-atomic interactions. Development of a unified approach for determination of the closed-form expressions for modes I, II and III stress intensity factors at the tips of lamellar inhomogeneities under a remote applied polynomial loading based on Eshelby’s EIM.

In addition to the analytical treatments, development of innovative computational methods such as gradient reproducing kernel particle method (GRKPM) and generalized RKPM are of interest; employment of GRKPM to such highly nonlinear partial differential equations as Burger’s equation and Buckley-Leverett’s equation which are characterized by exhibition of steep moving fronts.

Selected Publications

  1. H. M. Shodja, A. Khorshidi, Tensor spherical harmonic theories on the exact nature of the elastic fields of a spherically isotropic multi-inhomogeneous inclusion, Journal of the Mechanics and Physics of Solids, 61 (2013) 1124-1143.
  2. A. Khorshidi, H. M. Shodja, A Spectral Theory Formulation for Elastostatics by Means of Tensor Spherical Harmonics, Journal of Elasticity 111 (2013), 67-89.
  3. H. M. Shodja, S. Rezazadeh Kalehbasti, and M. Yu. Gutkin, Wedge disclination dipole in an embedded nanowire within the surface/interface elasticity, Journal of Mechanical Behavior of Materials, Accepted.
  4. C. Enzevaee, M. Yu. Gutkin, and H. M. Shodja, Surface/interface effects on the formation of misfit dislocation in a core-shell nanowire, Philosophical magazine, Accepted.
  5. F. Ojaghnezhad, and H.M. Shodja, A combined first principles and analytical determination of the modulus of cohesion, surface energy, and the additional constants in the second strain gradient elasticity, International Journal of Solids and Structures, 50 (2013) 3967–3974.
  6. S. Rezazadeh Kalehbasti, M.Yu. Gutkin, and H.M. Shodja, Wedge disclinations in the shell of a core-shell nanowire within the surface/interface elasticity, Mechanics of Materials, 68 (2014) 45-63.
  7. M. R. Delfani, H.M. Shodja, An enhanced continuum modeling of the ideal strength and the angle of twist in tensile behavior of single-walled carbon nanotubes, Journal of Applied Physics, 114 (2013) 053521-1-10.
  8. M.Yu. Gutkin, S. Rezazadeh Kalehbasti, H.M. Shodja, Surface/interface effects on elastic behavior of an edge dislocation in the shell of a core-shell nanowire, European Journal of Mechanics A/solids, 41 (2013) 86-100.
  9. H. M. Shodja, A. Zaheri, A. Tehranchi, Ab initio calculations of characteristic lengths of crystalline materials in first strain gradient elasticity, Mechanics of Materials, 61 (2013) 73–78.
  10. M. R. Delfani, H.M. Shodja and F. Ojaghnezhad, Mechanics and morphology of single-walled carbon nanotubes: from graphene to the elastica, Philosophical magazine 93 (2013) 2057-2088.
  11. Leila Malekmotiei, Farzam Farahmand, Hossein M. Shodja, Aref Samadi- Dooki, A Micromechanical Approach to Study the Intraoperative Fractures of Femoral Shaft during Total Hip Arthroplasty, ASME Journal of Biomechanical Engineering, 135 (2013) 041004-1-8.
  12. M. Y. Gutkin, C. Enzevaee, and H.M. Shodja, Interface effects on elastic behavior of an edge dislocation in a core-shell nanowire embedded to an infinite matrix, International Journal of Solids and Structures 50 (2103) 1177-1186.
  13. H. Ahmadzadeh-Bakhshayesh, M.Yu. Gutkin, H.M. Shodja, Surface/interface effects on elastic behavior of a screw dislocation in an eccentric core–shell nanowire, International Journal of Solids and Structures 49 (2012), 1665-1675.
  14. H. M. Shodja, M. R. Delfani, A novel nonlinear constitutive relation for graphene and its consequence for developing closed-form expressions for Young’s modulus and critical buckling strain of single-walled carbon nanotubes, Acta Mechanica 222 (2011), 91–101.
  15. Farzaneh Ojaghnezhad, Hossein M. Shodja, A combined first principles and analytical treatment for determination of the surface elastic constants: application to Si(001) ideal and reconstructed surfaces, Philosophical Magazine Letters 92(1) (2012), 7-19.
  16. Hossein M. Shodja, Ladan Pahlevani, Surface/interface effect on the scattered fields of an anti-plane shear wave in an infinite medium by a concentric multi- coated nanofiber/nanotube, European Journal of Mechanics - A/Solids 32 (2012), 21-31.
  17. H. M. Shodja, H. Ahmadzadeh-Bakhshayesh, M. Yu. Gutkin, Size-dependent interaction of an edge dislocation with an elliptical nano-inhomogeneity incorporating interface effects, International Journal of Solids and Structures 49 (2012) 759–770.
  18. Shodja, H.M., Ahmadpoor, F, Tehranchi, A, Calculation of the Additional Constants for fcc Materials in Second Strain Gradient Elasticity: Behavior of a Nano-size Bernouli-Euler Beam with Surface Effects, ASME Journal of Applied Mechanics 79 (2012), 021008-1-8.
  19. S. S. Moeini-Ardakani, M. Yu. Gutkin, H. M. Shodja, Elastic behavior of an edge dislocation inside the wall of a nanotube, Scripta Materialia 64 (2011), 709-712.
  20. H. M. Shodja, M. Yu. Gutkin, and S.S. Moeini-Ardakani, Effect of surface stresses on elastic behavior of a screw dislocation inside the wall of a nanotube, Physica status solidi (b) 248 (2011) 1437-1441.
  21. L. Pahlevani, H.M. Shodja, Surface and Interface Effects on Torsion of Eccentrically Two-Phase fcc Circular Nanorods: Determination of the Surface/ Interface Elastic Properties via an Atomistic Approach, ASME Journal of Applied Mechanics 78 (2011) 011011-1—011011-11.
  22. Ali Behzadan, H.M. Shodja, Mani Khezri, A unified approach to the mathematical analysis of generalized RKPM, gradient RKPM, and GMLS, Computer Methods in Applied Mechanics and Engineering, 200 (2011) 540-576.
  23. M. T. Kamali, H.M. Shodja, The scattering of P-waves by a piezoelectric particle with FGPM interfacial layers in a polymer matrix, International Journal of Solids and Structures 47 (2010) 2390–2397.
  24. H.M. Shodja, M. Khezri, A. Hashemian and A. Behzadan, RKPM with Augmented Corrected Collocation Method for Treatment of Material Discontinuities, Computer Modeling in Engineering & Sciences (2010) 62:2, 171-204.
  25. H. M. Shodja, A. Tehranchi, A formulation for the characteristic lengths of fcc materials in first strain gradient elasticity via Sutton-Chen potential, Philosophical magazine 90: 14 (2010), 1893 — 1913.
  26. H. M. Shodja, M. H. Kargarnovin, R. Hashemi, Electroelastic fields in interacting piezoelectric inhomogeneities by the electromechanical equivalent inclusion method, Smart materials and structures 19 (2010), 035025.
  27. K. M. Davoudi, M. Yu. Gutkin, H. M. Shodja, A screw dislocation near a circular nano-inhomogeneity in gradient elasticity, International Journal of Solids and Structures 47 (2010), 741-750.
  28. H. M. Shodja, M. R. Delfani, 3D elastodynamic fields of non-uniformly coated obstacles: notion of eigenstress and eigenbody-force fields, Mechanics of materials 41 (2009), 989-999.
  29. H. Hatami-Marbini, H. M. Shodja, Effects of interface conditions on thermo- mechanical fields of multi-phase nano-fiber/particle, Journal of Thermal Stresses 32 (2009), 1166-1180.
  30. H. Haftbaradaran, H. M. Shodja, Elliptic inhomogeneities and inclusion in anti- plane couple stress elasticity with application to nano-composite, International Journal of Solids and Structures (2009), International Journal of Solids and Structures 46 (16), 2978-2987.
  31. K. M. Davoudi, M. Yu. Gutkin, H. M. Shodja, Analysis of stress field of a screw dislocation inside an embedded nanowire using strain gradient elasticity, Scripta Materialia 61 (2009), 355-358.
  32. H. M. Shodja, M. Kamalzare, A study of nanovoid, Griffith-Inglis crack, cohesive crack, and some associated interaction problems in fcc materials via the many body atomic scale FEM, Computational material science 45 (2009), 275- 284.
  33. F. Ojaghnezhad, H. M. Shodja, A lamellar inhomogeneity near a multiphase reinforcement, Acta Mechanica 206 (2009), 39-52.
  34. H. M. Shodja, A. Hashemian, A numerical solution of 2D Buckley-Leverett equation via gradient reproducing kernel particle method, Computer modeling in engineering and sciences 31 (1) (2008), 17-33.
  35. B. Shokrolahi-Zadeh, H. M. Shodja, Spectral equivalent inclusion method: Anisotropic cylindrical multi-inhomogeneities, Journal of the Mechanics and Physics of Solids 56 (2008), 3565-3575.
  36. H. M. Shodja, K.M. Davoudi, M. Yu. Gutkin, Analysis of displacement and strain fields of a screw dislocation in a nanowire using gradient elasticity theory, Scripta Materialia 59 (2008), 368-371.
  37. A.S. Sarvestani, H. M. Shodja, M.R. Delfani, Determination of the scattered fields of an SH-wave by an eccentric coating-fiber ensemble using DEIM, International Journal of Engineering Science 46 (2008), 1136-1146.
  38. H. Hatami-Marbini, H. M. Shodja, On thermoelastic fields of a multi- phase inhomogeneity system with perfectly/imperfectly bonded interfaces, International Journal of Solids and Structures 45 (2008), 5831-5843.
  39. A. Hashemian, H. M. Shodja, Gradient Reproducing Kernel Particle Method, Journal of Mechanics of Materials and Structures 3(1) (2008), 127-152.
  40. M. Adelzadeh, H. M. Shodja, H. Rafii-Tabar, Computational modeling of the interaction of two edge cracks, and two edge cracks interacting with a nanovoid, via an atomistic finite element method, Computational Materials Science 42 (2008), 186-193.
  41. A. Hashemian, H. M. Shodja, A meshless approach for solution of Burger's equation, Journal of Computational and Applied Mathematics 220 (2008), 226- 239.
  42. H. M. Shodja, S. M. Tabatabaei, M. T. Kamali, A piezoelectric medium containing a cylindrical inhomogeneity: Role of electric capacitors and mechanical imperfections, International Journal of Solids and Structures (2007), 6361-6381.
  43. H. M. Shodja, B. Shokrolahi-Zadeh, Ellipsoidal Domains: Piecewise Nonuniform and Impotent Eigenstrain Fields, Journal of Elasticity (2007), 1-18.
  44. H. M. Shodja, L. Pahlevani, E. Hamed, Inclusion problems associated with thin fcc films: Linkage between eigenstrain and inter-atomic potential, Mechanics of Materials 39 (2007) 803-818.
  45. H. M. Shodja, F. Ojaghnezhad, A general unified treatment of lamellar inhomogeneities, Engineering Fracture Mechanics 74 (2007), 1499-1510.
  46. H. M. Shodja, M. Ghazisaeidi, Effects of couple stresses on anti-plane problems of piezoelectric media with inhomogeneities, European Journal of Mechanics A/ Solids 26 (2007), 647-658.
  47. F. Roumi, H. M. Shodja, Elastic solids with high concentration of arbitrarily oriented multiphase particles, Acta Mechanica 189 (2007), 125-139.
  48. Hamed Hatami-Marbini, Hossein M. Shodja, Thermoelastic Fields of a Functionally Graded Coated Inhomogeneity With Sliding/Perfect Interfaces, Journal of Applied Mechanics 74 (2007), 389-398.
  49. H. Rafii-Tabar, H.M. Shodja, M. Darabi, A. Dahi, Molecular dynamics simulation of crack propagation in fcc materials containing clusters of impurities, Mechanics of Materials 38 (2006), 243–252.
  50. Hossein M. Shodja, Farshid Roumi, Effective Moduli of Coated Particulate Composites with BCC Structure at High Concentration, Journal of Engineering Mechanics 132(8) (2006), 882-888.
  51. H.M. Shodja, F. Roumi, Overall behavior of composites with periodic multi- inhomogeneities, Mechanics of Materials 37 (2005), 343–353
  52. H.M. Shodja, I.Z. Rad, R. Soheilifard, Interacting cracks and ellipsoidal inhomogeneities by the equivalent inclusion method, Journal of the Mechanics and Physics of Solids 51 (2003), 945–960.
  53. H.M. Shodja, A.S. Sarvestani, Elastic Fields in Double Inhomogeneity by the Equivalent Inclusion Method, Journal of Applied Mechanics 68 (2001), 1-8.
  54. H.M. Shodja, Y. Hirose, T. Mura, Intergranular Crack nucleation in Bicrystalline Materials Under Fatigue, Journal of Applied Mechanics 63 (1996), 788-795.
  55. T. Mura, H.M. Shodja, Y. Hirose, Inclusion problems, Applied Mechanics Reviews 49 (10 PART 2) (1996), S118-S127.
  56. C.A. Caracostas, H.M. Shodja, J. Weertman, The Double Slip Plane Model for the Study of Short Cracks, Mechanics of Materials 20 (1995), 195-208.
  57. Hossein M. Shodja, Toshio Mura, Wing Kam Liu, Multiresolution Analysis of a MicroMechanical Model, Computational Methods in Micromechanics 62 (1995), 33-53.