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) Method, Computer Modeling in Eng'g & Sciences, 2, 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 Cavity, Int. 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) Method, Computer Modeling in Engineering & Sciences, 3, 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) Methods, Computer Modeling in Eng’g and Sciences, 4, 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) Method, Computer Modeling in Engineering and Sciences, 4, 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 Method, Composites: Part B, 35, 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 Method, Computational Mechanics, 33, 263-273, 2004.
  8. G. M. Zhang and R. C. Batra, Modified Smoothed Particle Hydrodynamics Method and Its Application to Transient Problems, Computational Mechanics, 34, 137-146, 2004.
  9. L. F. Qian and R. C. Batra, Design of Bidirectional Functionally Graded Plate for Optimal Natural Frequencies, J. of Sound and Vibration, 280, 415-424, 2005.
  10. L. F. Qian and R. C. Batra, Transient Thermoelastic Deformations of a Tick Functionally Graded Plate, J. of Thermal Stresses, 27, 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 Conduction, Int. J. for Numerical Methods in Engineering, 61, 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) Method, J. of Computational Physics, 201, 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 Method, Composite Structures, 69, 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 Method, Computational Mechanics, 35, 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 Method, Composite Structures, 75, 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) Formulation, Computational Mechanics, 41, 473-491, 2008.
  17. U. Andreaus, R. C. Batra and M. Porfiri, Vibrations of Cracked Euler-Bernoulli Beams using Meshless Local Petrov-Galerkin (MLPG) Method, Computer Modeling in Engineering and Sciences, 9:2, 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) Method, Computational Mechanics, 40, 531-546, 2007.
  19. G. M. Zhang and R. C. Batra, Wave Propagation in Functionally Graded Materials by Modified Smoothed Particle Hydrodynamics (MSPH) Method, J. Computational Physics, 222, 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 Functions, Computer Methods in Applied Mechanics and Engineering, 196, 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 Functions, Composite Structures, 80, 539-552, 2007.
  22. R. C. Batra, M. Porfiri and D. Spinello, Analysis of Electrostatic MEMS using Meshless Local Petrov-Galerkin Method, Engineering 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 Method, Composite Structures, 75, 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 Functions, Computational Material Science, 41, 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 Physics, 227, 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 Formulations, Computational Mechanics, 41, 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-GalerkinMethod, Communications 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 Parameter, Composite Structures, 86, 328-343, 2008.
  29. R. C. Batra and M. Porfiri, Analysis of Rubber-like Materials using Meshless Local Petrov-Galerkin (MLPG) Method, Communications in Numerical Methods in Engineering, 24, 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 MeshlessMethod, J. of Sound and Vibration, 319, 984-992, 2009.
  31. G. M. Zhang and R. C. Batra, Symmetric Smoothed Particle Hydrodynamics (SSPH) Method and Its Applications to Elastic Problems, Computational Mechanics,43, 321-340, 2009.

 

Dr. Batra's CV

Romesh C. Batra, PhD

University Distinguished Professor, 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

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