Publications on Meshless Method


  1. H.-K. Ching and R. C. Batra,  Determination of Crack Tip Fields in Linear Elastostatics by the Meshless Local Petrov-Galerkin (MLPG) MethodComputer Modeling in Eng'g & Sciences2, 273-289, 2001.
  2. A Warlock, H.-K. Ching, A. K. Kapila and R. C. Batra, Plane Strain Deformations of an Elastic Material Compressed in a Rough Rectangular CavityInt. J. Engng. Sci., 40, 991-1010, 2002.
  3. R. C. Batra and H.-K. Ching, Analysis of Elastodynamic Deformations near a Crack/Notch tip by the Meshless Local Petrov-Galerkin (MLPH) MethodComputer Modeling in Engineering & Sciences3, 717-730, 2002.
  4. L. F. Qian, R. C. Batra and L. M. Chen, Elastostatic Deformations of a Thick Plate by using a Higher-Order Shear and Normal Deformable Plate Theory and TwoMeshless Local Petrov-Galerkin (MLPG) MethodsComputer Modeling in Eng’g and Sciences4, 161-176, 2003.
  5. L. F. Qian, R. C. Batra and L. M. Chen, Free and Forced Virbations of Thick Rectangular Plates by using Higher-Order Shear and Normal Deformable Plate Theory and Meshless Petrov-Galerkin (MLPG) MethodComputer Modeling in Engineering and Sciences4, 519-534, 2003.
  6. 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.
  7. 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.
  8. G. M. Zhang and R. C. Batra, Modified Smoothed Particle Hydrodynamics Method and Its Application to Transient ProblemsComputational Mechanics34, 137-146, 2004.
  9. L. F. Qian and R. C. Batra, Design of Bidirectional Functionally Graded Plate for Optimal Natural FrequenciesJ. of Sound and Vibration280, 415-424, 2005.
  10. L. F. Qian and R. C. Batra, Transient Thermoelastic Deformations of a Tick Functionally Graded PlateJ. of Thermal Stresses27, 705-740, 2004.
  11. R. C. Batra, M. Porfiri and D. Spinello, Treatment of Material Discontinuity in Two Meshless Local Petrov-Galerkin (MLPG) Formulations of AxisymmetricTransient Heat ConductionInt. J. for Numerical Methods in Engineering61, 2461-2479, 2004.
  12. R. C. Batra, G. M. Zhang, Analysis of Adiabatic Shear Bands in Elasto-Thermo-Viscoplastic Materials by Modified Smoothed Particle Hydrodynamics (MSPH) MethodJ. of Computational Physics201, 172-190, 2004.
  13. 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.
  14. 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.
  15. 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.
  16. R. C. Batra, M. Porfiri and D. Spinello, Free and Forced Vibrations of a Segmented Bar by a Meshless Local Petrov-Galerkin (MLPG) FormulationComputational Mechanics41, 473-491, 2008.
  17. U. Andreaus, R. C. Batra and M. Porfiri, Vibrations of Cracked Euler-Bernoulli Beams using Meshless Local Petrov-Galerkin (MLPG) MethodComputer Modeling in Engineering and Sciences9:2, 111-131, 2005.
  18. R. C. Batra and G. M. Zhang, Search Algorithm, and Simulation of Elastodynamic Crack Propagation by Modified Smoothed Particle Hydrodynamics (MSPH) MethodComputational Mechanics40, 531-546, 2007.
  19. 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.
  20. J. R. Xiao, R. C. Batra, D. F. Gilhooley, J. W. Gillespie, Jr. and M. A. McCarthy, Analysis of Thick Plates by using a Higher-Order Shear and Normal Deformable Plate Theory and MLPG Method with Radial Basis FunctionsComputer Methods in Applied Mechanics and Engineering196, 979-987, 2007.
  21. 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.
  22. R. C. Batra, M. Porfiri and D. Spinello, Analysis of Electrostatic MEMS using Meshless Local Petrov-Galerkin MethodEngineering Analysis with Boundary Elements, 30, 949-962, 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, 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.
  25. R. C. Batra and G. M. Zhang, Modified Smoothed Particle Hydrodynamics (MSPH) Method for Axisymmetric Problems, and Its Application to Taylor Impact Test,J. of Computational Physics227, 1962-1981, 2008.
  26. R. C. Batra and G. M. Zhang, SSPH Basis Functions for Meshless Method, and Comparison of Solutions with Strong and Weak FormulationsComputational Mechanics41, 527-545, 2008.
  27. R. C. Batra and D. Spinello, Analysis of Adiabatic Shear Bands in Heat-conducting Elastothermoviscoplastic Materials by the Meshless Local Bubnov-GalerkinMethodCommunications in Numerical Methods in Engineering, (accepted).
  28. A.J.M. Ferreira, G.E. Fasshauer, R.C. Batra and J.D. Rodrigues, Static Deformations and Vibration Analysis of Composite and Sandwich Plates Using a LayerwiseTheory and RBF-PS Discretizations with Optimal Shape ParameterComposite Structures86, 328-343, 2008.
  29. R. C. Batra and M. Porfiri, Analysis of Rubber-like Materials using Meshless Local Petrov-Galerkin (MLPG) MethodCommunications in Numerical Methods in Engineering24, 1781-1804, 2008.
  30. A. J. M. Ferreira, G. E. Fasshauer, R. C. Batra, Natural Frequencies of Thick Plates Made of Orthotropic, Monclinic, and Hexagonal Materials by a MeshlessMethodJ. of Sound and Vibration319, 984-992, 2009.
  31. G. M. Zhang and R. C. Batra, Symmetric Smoothed Particle Hydrodynamics (SSPH) Method and Its Applications to Elastic ProblemsComputational Mechanics,43, 321-340, 2009.

 

Dr. Batra's CV


Romesh C. Batra, PhD

Clifton C. Garvin Professor
Fellow - ASME, ASEE, AAM, SES, USACM

Google Scholar Profile

rbatra@vt.edu

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)

Awards

Feature from Virginia Tech Magazine

Summary of Results on Laminated Plates