Publications on Functionally Gradient Materials

  1. Z.-H. Jin and R. C. Batra, Some Basic Fracture Mechanics Concepts in Functionally Graded MaterialsJ. Mechs. Phys. Solids44, 1221-1235, 1996.
  2. Z.-H. Jin and R. C. Batra, Stress Intensity Relaxation at the Tip of an Edge Crack in a Functionally Graded Material Subjected to a Thermal ShockJ. Thermal Stresses19, 317-339, 1996.
  3. Z.-H. Jin and R. C. Batra, Interface Cracking between Functionally Graded Coatings and a Substrate Under Antiplane ShearInt. J. Engng. Sci., 34, 1705-1716, 1996.
  4. Z.-H. Jin and R. C. Batra, R-Curve and Strength Behavior of a Functionally Graded MaterialMaterial Sci. & Engng., A242, 70-76, 1998.
  5. R. C. Batra and J. Jin, Natural Frequencies of a Functionally Graded Rectangular PlateJ. Sound and Vibration282, 509-516, 2005.
  6. R. C. Batra and B. M. Love, Crack Propagation due to Brittle and Ductile Failures in Microporous Thermoelastoviscoplastic Functionally Graded Materials,Engineering Fracture Mechanics72, 1954-1979, 2005.
  7. L. F. Qian and R. C. Batra, Three-Dimensional Transient Heat Conduction in a Functionally Graded Thick Plate with a Higher-Order Plate Theory and a MeshlessLocal Petrov-Galerkin MethodComputational Mechanics35, 214-226, 2005.
  8. A. J. M. Ferreira, R. C. Batra, C. M. C. Roque, L. F. Qian and P. A. L. S. Martins, Static Analysis of Functionally Graded Plates Using Third-order Shear Deformation Theory and a Meshless MethodComposite Structures69, 449-457, 2005.
  9. R. C. Batra and B. M. Love, Adiabatic Shear Bands in Functionally Graded MaterialsJ. Thermal Stresses27, 1101-1123, 2004.
  10. L. F. Qian and R. C. Batra, Transient Thermoelastic Deformations of a Thick Functionally Graded PlateJ. of Thermal Stresses27, 705-740, 2004.
  11. L. F. Qian and R. C. Batra, Design of Bidirectional Functionally Graded Plate for Optimal Natural FrequenciesJ. of Sound and Vibration280, 415-424, 2005.
  12. L. F. Qian, R. C. Batra and L. M. Chen, Analysis of Cylindrical Bending Thermoelastic Deformations of Functionally Graded Plates by a Meshless Local Petrov-Galerkin MethodComputational Mechanics33,263-273, 2004.
  13. L. F. Qian, R. C. Batra and L. M. Chen, Static and Dynamic Deformations of Thick Functionally Graded Elastic Plate by using Higher-Order Shear and Normal Deformable Plate Theory and Meshless Local Petrov-Galerkin MethodComposites: Part B35, 685-697, 2004.
  14. S. S. Vel and R. C. Batra, Three-dimensional Exact Solution for the Vibration of Functionally Graded Rectangular PlatesJ. of Sound and Vibration272, 703-730, 2004.
  15. S. S. Vel and R. C. Batra, Three-dimensional Analysis of Transient Thermal Stresses in Functionally Graded Plates, Int. J. of Solids & Structures, 40, 7181-7196, 2003.
  16. S. S. Vel and R. C. Batra, Exact Solutions for Thermoelastic Deformations of Functionally Graded Thick Rectangular PlatesAIAA J.40(70), 1421-1433, 2002.
  17. Z.-Q. Cheng and R. C. Batra, Deflection Relationships Between the Homogeneous Plate Theory and Different Functionally Graded Plate TheoriesArchives of Mechanics52, 143-158, 2000.
  18. Z.-Q. Cheng and R. C. Batra, Three-Dimensional Thermoelastic Deformations of a Functionally Graded Elliptic PlateComposites B31, 97-106, 2000.
  19. Z. Q. Cheng and R. C. Batra, Exact Correspondence Between Eigenvalues of Membranes and Functionally Graded Simply Supported Polygonal PlatesJ. Sound & Vibration229, 879-895, 2000.
  20. R. C. Batra, Finite Plane Strain Deformations of Rubberlike MaterialsInt. J. Num. Meth. Engng., 15, 145-160, 1980.
  21. Z. H. Jin and R. C. Batra, Crack Tip Fields in Functionally Graded Materials with Temperature-Dependent PropertiesAIAA J., 44(9), 2129-2130, 2006.
  22. R. C. Batra, Torsion of a Functionally Graded CylinderAIAA J., 44(6), 1363-1365, 2006.
  23. A.J.M. Ferreira, R. C. Batra, C.M.C. Roque, L. F. Qian, R.M.N. Jorge, Natural Frequencies of Functionally Graded Plates by a Meshless MethodComposite Structures75, 593-600, 2006.
  24. D. F. Gilhooley, R. C. Batra, J. R. Xiao, M. A. McCarthy, J. W. Gillespie Jr., Analysis of Thick Functionally Graded Plates by using Higher-Order Shear and Normal Deformable Plate Theory and MLPG Method with Radial Basis FunctionsComposite Structures80, 539-552, 2007.
  25. G. M. Zhang and R. C. Batra, Wave Propagation in Functionally Graded Materials by Modified Smoothed Particle Hydrodynamics (MSPH) MethodJ. Computational Physics222, 374-390, 2007.
  26. S.-R. Li and R. C. Batra, Buckling of Axially Compressed Cylindrical Shells with Functionally Graded Middle LayerThin-Walled Structures44, 1039-1047, 2006.
  27. A. Ferreira, C. Roque, G. Fasshauer, R. Jorge and R. Batra, Analysis of Functionally Graded Plates by a Robust Meshless MethodMechanics of Advanced Materials and Structures14, 577-587, 2007.
  28. M. C. Ray and R. C. Batra, Vertically Reinforced 1-3 Piezoelectric Composites for Active Damping of Functionally Graded PlatesAIAA J., 45, 1779-1783, 2007.
  29. G. F. Gilhooley, J. R. Xiao, R. C. Batra, M. A. McCarthy, J. W. Gillespie Jr., Two-dimensional Stress Analysis of Functionally Graded Solids using the MLPG Method with Radial Basis FunctionsComputational Material Science41, 467-481, 2008.
  30. R. C. Batra, Higher Order Shear and Normal Deformable Theory for Functionally Graded Incompressible Linear Elastic PlatesThin-Walled Structures45, 974-982, 2007.
  31. R. C. Batra and G. L. Iaccarino, Exact Solutions for Radial Deformations of Functionally Graded Isotropic and Incompressible Second-order Elastic CylindersInt. J. of Non-Linear Mechanics43, 383-398, 2008.
  32. R. C. Batra, Optimal Design of Functionally Graded Isotropic and Incompressible Linear Elastic CylinderAIAA J., 46, 2050-2057, 2008.
  33. D. J. Hasanyan, R. C. Batra and S. Harutyunyan, Pull-in Instabilities in Functionally Graded Microthermoelectromechanical SystemsJ. of Thermal Stresses31, 1006-1021, 2008.
  34. R. C. Batra and A. Bahrami, Inflation and Eversion of Functionally Graded Nonlinear Elastic Incompressible Cylinders, Int. J. of Non-Linear Mechanics44, 311-323, 2009.




Dr. Batra's CV

Romesh C. Batra, PhD

Clifton C. Garvin Professor

Google Scholar Profile

Department of Biomedical Engineering and Mechanics (0219)
Norris Hall, Room 333-E, Virginia Tech
495 Old Turner Street
Blacksburg, VA 24061 


Blast Mitigation Team

Research Activities in the Computational Mechanics Lab (poster)


Feature from Virginia Tech Magazine

Summary of Results on Laminated Plates