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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.
Google Scholar
Adiabatic Shear Banding
Composites
Constitutive Relations
Contact/ Indentation
Dynamic Buckling
Dynamic Fracture Mechanics
Functionally Gradient Materials
Meshless Method
Micro-electro-mechanical Systems
Nanoscience and Nanotechnology
Penetration and Impact Problems
Plates, Shells, Beams and Rods
Smart Structures / Piezoelectricity