Publications on Plates, Shells, Beams and Rods


Plates

  1. 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.
  2. A. J. M. Ferreira, G. E. Fasshauer, R. C. Batra, Natural Frequencies of Thick Plates Made of Orthotropic, Monoclinic, and Hexagonal Materials by a Meshless MethodJ. of Sound and Vibration319, 984-992, 2009.
  3. R. C. Batra, M. Porfiri and D. Spinello, Reduced-order Models for Microelectromechanical Rectangular and Circular Plates Incorporating the Casimir ForceInt. J. Solids and Structures45, 3558-3583, 2008.
  4. R. C. Batra, M. Porfiri and D. Spinello, Effects of van derWaals Force and Thermal Stresses on Pull-in Instability of Clamped Rectangular MicroplatesSensors8, 1048-1069, 2008.
  5. R. C. Batra, M. Porfiri, and D. Spinello, Vibrations and Pull-in Instabilities of Microelectromechanical von Karman Elliptic Plates Incorporating the Casimir ForceJ. of Sound and Vibration315, 939-960, 2008.
  6. R. C. Batra, Higher Order Shear and Normal Deformable Theory for Functionally Graded Incompressible Linear Elastic PlatesThin-Walled Structures45, 974-982, 2007.
  7. M. C. Ray and R. C. Batra, Vertically Reinforced 1-3 Piezoelectric Composites for Active Damping of Functionally Graded PlatesAIAA J45:7, 1779-1783, 2007.
  8. R. C. Batra and S. Romano, Failure of Dynamically Loaded Thermoelastoviscoplastic Rectangular PlateAIAA J. 45:8, 2015-2023, 2007.
  9. R. C. Batra and S. Aimmanee, Vibration of an Incompressible Isotropic Linear Elasatic Rectangular Plates with a Higher Order Shear and Normal Deformable TheoryJ. of Sound and Vibration, 307, 961-971, 2007.
  10. J. R. Xiao, D. F. Gilhooley, R. C. Batra, J. W. Gillespie Jr. and M. A. McCarthy, Analysis of Thick Composite Laminates Using a Higher-Order Shear and Normal Deformable Plate Theory (HOSNDPT) and a Meshless MethodComposites B39, 414-427, 2008.
  11. 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 Structures, 14, 577-587, 2007.
  12. S. Aimmanee and R. C. Batra, Analytical Solution for Vibration of an Incompressible Isotropic Linear Elastic Rectangular Plate, and Frequencies Missed in Previous SolutionsJ. Sound and Vibration302, 613-620, 2007.
  13. 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.
  14. 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.
  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 Structures,75, 593-600, 2006.
  16. S. R. Li, R. C. Batra and L.-S. Ma, Vibration of Thermally Post-Buckled Orthotropic Circular PlatesJ. Thermal Stresses30, 43-57, 2007.
  17. R. C. Batra and Zhicun Wang, Failure Mode Transition Speed in Three-Dimensional Transient Deformations of a Microporous Heat-ConductingThermoelastoviscoplastic Prenotched PlateJ. Thermal Stresses28, 533-562, 2005.
  18. R. C. Batra and S. Aimmanee, Vibrations of Thick Isotropic Plates with Higher Order Shear and Normal Deformable Plate TheoriesComputers & Structures83, 934-955, 2005.
  19. A. Ferreira and R. C. Batra, Natural Frequencies of Orthotropic, Monoclinic and Hexagonal Plates by a Meshless MethodJ. of Sound and Vibration285, 734-742, 2005.
  20. R. C. Batra, Z. G. Wei, Dynamic Buckling of a Thin Thermoviscoplastic Rectangular PlateThin-Walled Structures43, 273-290, 2005.
  21. 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 Meshless LocalPetrov-Galerkin MethodComputational Mechanics , 35, 214-226, 2005.
  22. 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.
  23. R. C. Batra and J. Jin, Natural Frequencies of a Functionally Graded Anisotropic Rectangular PlateJ. Sound and Vibration282, 509-516, 2005.
  24. R. C. Batra and M. H. Lear, Simulation of Brittle and Ductile Fracture in an Impact Loaded Prenotched PlateInt. J. of Fracutre126, 179-203, 2004.
  25. L. F. Qian and R. C. Batra, Transient Thermoelastic Deformations of a Thick Functionally Graded PlateJ. of Thermal Stresses27, 705-740, 2004.
  26. L. F. Qian and R. C. Batra, Design of Bidirectional Functionally Graded Plate for Optimal Natural FrequenciesJ. of Sound and Vibration280, 415-424, 2005.
  27. 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-GalerkinMethodComputational Mechanics33, 263-273, 2004.
  28. 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.
  29. S. S. Vel, R. Mewer and R. C. Batra, Analytical Solution for the Cylindrical Bending Vibration of Piezoelectric Composite PlatesInt. J. Solids & Structures41, 1625-1643, 2004.
  30. R. C. Batra, L. F. Qian and L. M. Chen, Natural Frequencies of Thick Square Plates Made of Orthotropic, Trigonal, Monoclinic, Hexagonal and Triclinic MaterialsJ. Sound and Vibration270, 1074-1086, 2004.
  31. L. F. Qian, R. C. Batra and L. M. Chen, Free and Forced Vibrations of Thick Rectangular Plates by using Higher-Order Shear and Normal Deformable Plate Theory andMeshless Petrov-Galerkin (MLPG) MethodComputer Modeling in Engineering and Sciences4, 519-534, 2003.
  32. S. S. Vel and R. C. Batra, Three-dimensional Exact Solution for the Vibration of Functionally Graded Rectangular PlatesJ. of Sound and Vibration 272, 703-730. 2004.
  33. S. S. Vel and R. C. Batra, Three-dimensional Analysis of Transient Thermal Stresses in Functionally Graded PlatesInt. J. of Solids & Structures40, pp. 7181-7196, 2003.
  34. R. C. Batra and S. Aimmanee, Missing Frequencies in Previous Exact Solutions of Free Vibrations of Simply Supported Rectangular PlatesJ. of Sound & Vibrations,265, 887-896, 2003.
  35. 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.
  36. S. S. Vel and R. C. Batra, Generalized Plane Strain Thermopiezoelectric Analysis of Multilayered PlatesJ. Thermal Stresses26, 353-377, 2003.
  37. R. C. Batra, S. Vidoli and F. Vestroni, Plane Waves and Modal Analysis in Higher-Order Shear and Normal Deformable Plate TheoriesJ. Sound & Vibration, 257(1), 63-88, 2002.
  38. S. S. Vel and R. C. Batra, Exact Solutions for Thermoelastic Deformations of Functionally Graded Thick Rectangular PlatesAIAA J.40(7), 1421-1433, 2002.
  39. R. C. Batra and T. S. Geng, Enhancement of the Dynamic Buckling Load for a Plate by Using Piezoceramic ActuatorsSmart Materials & Structures10, 925-933, 2001.
  40. R. C. Batra, N. A. Jaber and M. E. Malsbury, Analysis of Failure Modes in an Impact Loaded Thermoviscoplastic Prenotched PlateInt. J. Plasticity, 19(2), 139-196, 2003.
  41. R. C. Batra and S. Vidoli, Higher Order Piezoelectric Plate Theory Derived from a Three-Dimensional Variational PrincipleAIAA J.40(1), 91-104, 2002.
  42. S. S. Vel and R. C. Batra, Exact Solution for Rectangular Sandwich Plates with Embedded Piezoelectric Shear ActuatorsAIAA J.39, 1363-1373, 2001.
  43. R. C. Batra and N. A. Jaber, Failure Mode Transition Speeds in an Impact Loaded Prenotched Plate with Four Thermoviscoplastic RelationsInt. J. Fracture, 110, 47-71, 2001.
  44. S. S. Vel and R. C. Batra, Exact Solution for the Cylindrical Bending of Laminated Plates with Embedded Shear ActuatorsSmart Materials & Structures10, 240-251, 2001.
  45. S. S. Vel and R. C. Batra, Analysis of Piezoelectric Bimorphs and Plates with Segmented ActuatorsThin-Walled Structures39(1), 23-44, 2001.
  46. S. S. Vel and R. C. Batra, Generalized Plane Strain Thermoelastic Deformation of Laminated Anisotropic Thick PlatesInt. J. Solids Structures38, 1395-1414, 2001.
  47. S. Vidoli and R. C. Batra, Derivation of Plate and Rod Equations for a Piezoelectric Body from a Mixed Three-Dimensional Variational Principle, J. Elasticity59, 23-50, 2000.
  48. S. S. Vel and R. C. Batra, Three-dimensional Analytical Solutions for Hybrid Multilayered Piezoelectric Plates J. Appl. Mechs.67, 558-567, 2000.
  49. S. S. Vel and R. C. Batra, Closure to The Generalized Plane Strain Deformations of thick Anisotropic Composite Laminated PlatesInt. J. Solids Structures38, 483-489, 2000.
  50. Z.-Q. Cheng and R. C. Batra, Deflection Relationships Between the Homogeneous Plate Theory and Different Functionally Graded Plate TheoriesArchives of Mechanics, 52, 143-158, 2000.
  51. Z.-Q. Cheng and R. C. Batra, Three-Dimensional Thermoelastic Deformations of a Functionally Graded Elliptic PlateComposites B31, 97-106, 2000.
  52. S. S. Vel and R. C. Batra, Cylindrical Bending of Laminated Plates with Distributed and Segmented Piezoelectric Actuator/SensorsAIAA J.38, 857-867, 2000.
  53. R. C. Batra and R. R. Gummalla, Effect of Material and Geometric Parameters on Deformations Near the Notch-tip of a Dynamically Loaded Prenotched Plate, Int. J. Fracture101, 99-140, 2000.
  54. 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.
  55. S. S. Vel and R. C. Batra, The Generalized Plane Strain Deformations of Thick Anisotropic Composite Laminated PlatesInt. J. Solids Structures37, 715-733, 2000.
  56. S. Vel and R. C. Batra, Analytical Solutions for Rectangular Thick Laminated Plates Subjected to Arbitrary Boundary ConditionsAIAA J.37, 1464-1473, 1999.
  57. N. V. Nechitailo and R. C. Batra, Penetration/Perforation of Aluminum, Steel and Tungsten Plates by Ceramic RodsComputers & Structures66, 571-583, 1998.
  58. S. Krishnaswamy, Z. H. Jin and R. C. Batra, Stress Concentration in an Elastic Cosserat Plate Undergoing Extensional DeformationsJ. Appl. Mechs.65, 66-70, 1998.
  59. X. Q. Liang and R. C. Batra, Changes in Frequencies of a Laminated Plate Caused by Embedded Piezoelectric Layers, AIAA J.35, 1672-1673, 1997.
  60. Z. H. Jin and R. C. Batra, A Crack at the Interface Between a Kane-Mindlin Plate and a Rigid SubstrateEng'g Fracture Mechs.57, 343-354, 1997.
  61. Z. H. Jin and R. C. Batra, Dynamic Fracture of a Kane-Mindlin PlateTheoretical and Applied Fracture Mechs., 26, 199-210, 1997.
  62. R. C. Batra and N. V. Nechitailo, Analysis of Failure Modes in Impulsively Loaded Pre-Notched Steel PlatesInt. J. Plasticity13, 291-308, 1997.
  63. R. C. Batra and X. Q. Liang, The Vibration of a Rectangular Laminated Elastic Plate with Embedded Piezoelectric Sensors and ActuatorsComputers & Structures63, 203-216, 1997.
  64. J. D. Wang, R. C. Batra and K. Isogimi, Analysis of Stress Distribution in a Thin Rectangular Plate by the Method of Caustics, Arch. Mechs.48, 1011-1024, 1996.
  65. R. C. Batra and Z. Peng, Development of Shear Bands during the Perforation of a Steel PlateComputational Mechs.17, 326-334, 1996.
  66. R. C. Batra, X. Q. Liang and J. S. Yang, The Vibration of a Simply Supported Rectangular Elastic Plate due to Piezoelectric ActuatorsInt. J. Solids \& Structures33, 1597-1618, 1996.
  67. R. C. Batra, X. Q. Liang and J. S. Yang, Shape Control of Vibrating Simply Supported PlatesAIAA J.34, 116-122, 1996.
  68. R. C. Batra and K. Ghosh, Deflection Control During Dynamic Deformations of a Rectangular Plate Using Piezoceramic ElementsAIAA J.33, 1547-1548, 1995.
  69. K. Ghosh and R. C. Batra, Shape Control of Plates Using Piezoceramic ElementsAIAA J.33, 1354-1357, 1995.
  70. J. S. Yang, R. C. Batra and X. Q. Liang, The Cylindrical Bending Vibrations of a Laminated Elastic Plate Due to Piezoelectric ActuatorsSmart Materials & Strucutres,3, 485-493, 1994.
  71. J. S. Yang and R. C. Batra, A Theory of Electroded Thin Thermopiezoelectric Plates Subject to Large Driving VoltagesJ. Appl. Physics76, 5411-5417, 1994.
  72. A. Kadic-Galeb and R. C. Batra, Stress Distribution in an Elastic Perfectly Plastic Plate Subjected to Corrosive Environmental LoadsInt. J. Engng Sci.31, 1301 - 1307, 1993.
  73. R. C. Batra and R. N. Dubey, Impulsive Loading of Circular PlatesInt. J. Solids and Structures7, 965-978, 1971.

Shells

  1. M. C. Ray and R. C. Batra, Smart Constrained Layer Damping of Functionally Graded Shells using Vertically/Obliquely Reinforced 1-3 Piezocomposite under Thermal EnvironmentSmart Materials and Structures17, 055007 (13pp), 2008.
  2. S.-R. Li and R. C. Batra, Buckling of Axially Compressed Cylindrical Shells with Functionally Graded Middle LayerThin-Walled Structures44, 1039-1047, 2006.
  3. Z. G. Wei and R. C. Batra, Dynamic Buckling of Thin Thermoviscoplastic Cylindrical Shell under Radial Impulsive LoadnigThin-Walled Structures44, 1109-1117, 2006.
  4. Z. G. Wei, J. L. Yu and R. C. Batra, Dynamic Buckling of Thin Cylindrical Shells under Axial ImpactInt. J. Impact Engng.32, 575-592, 2005.
  5. Z.-Q. Cheng and R. C. Batra, Thermal Effects on Laminated Composite Shells Containing Interfacial Imperfections, J. Comp. Structures52(1), 3-11, 2001.
  6. J. S. Yang and R. C. Batra, Thickness Shear Vibrations of a Circular Cylindrical Piezoelectric ShellJ. Acoustic Soc. America97, 309- 312, 1995.

Rods

  1. S. Vidoli and R. C. Batra, Derivation of Plate and Rod Equations for a Piezoelectric Body from a Mixed Three-Dimensional Variational Principle, J. Elasticity59, 23-50, 2000.
  2. S. Krishnaswamy and R. C. Batra, On Extensional Vibration Modes of Elastic Rods of Finite Length which include the Effect of Lateral Deformation, {\it J. Sound & Vibration215, 577-586, 1998.
  3. S. Krishnaswamy and R. C. Batra, Addendum to ``On Extensional Oscillations and Waves in Elastic Rods,'' Math. & Mech. Solids3, 297-301, 1998.
  4. S. Krishnaswamy and R. C. Batra, On Extensional Oscillations and Longitudinal Waves in Elastic RodsMath. & Mech. Solids3, 277-295, 1998.

 

 

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