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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.