publications on

Adiabatic Shear Banding

1.     T. W. Wright and R. C. Batra, The Initiation and Growth of Adiabatic Shear Bands, Int. J. Plasticity, 1, 205-212, 1985.

2.     R. C. Batra, The Initiation and Growth of, and the Interaction Among Adiabatic Shear Bands in Simple and Dipolar Materials, Int. J. Plasticity, 3, 75-89, 1987.

3.     R. C. Batra, Effect of Materials Parameters on the Initiation and Growth of Adiabatic Shear Bands, Int. J. Solids and Structures, 23, 1435-1446, 1987.

4.     R. C. Batra, Effect of Nominal Strain-Rate on the Initiation and Growth of Adiabatic Shear Bands in Steels, J. Appl. Mechs. – T ASME, 55, 229-230, 1988.

5.     R. C. Batra and T. W. Wright, A Comparison of Solutions of Adiabatic Shear Banding by Forward Difference and Crank-Nicolson Methods, Commun. Appl. Numerical Methods, 4, 741-748, 1988.

6.     Y. W. Kwon and R. C. Batra, Effect of Multiple Initial Imperfections on the Initiation and Growth of Adiabatic Shear Bands in Nonpolar and Dipolar Materials, Int. J. Engng. Sci., 26, 1177-1187, 1988.

7.     R. C. Batra and Y. W. Kwon, Adiabatic Shear Banding in a Bimetallic Body, Acta Mechanica, 77, 281-297, 1989.

8.     R. C. Batra and De-Shin Liu, Adiabatic Shear Banding in Plane Strain Problems, J. Appl. Mechs. – T ASME, 56, 527-534, 1989.

9.     R. C. Batra and De-Shin Liu, Adiabatic Shear Band Development in Dynamic Plane Strain Compression of a Viscoplastic Material, Int. J. Plasticity, 6, 231-246, 1990.

10. R. C. Batra and C. H. Kim, Adiabatic Shear Banding in Elastic-viscoplastic Nonpolar and Dipolar Materials, Int. J. Plasticity, 6, 127-141, 1990.

11. R. C. Batra and C. H. Kim, An Adapative Mesh Refinement Technique for the Analysis of Adiabatic Shear Banding, Mechs. Research Communications, 17, 81-91, 1990.

12. R. C. Batra and C. H. Kim, Effect of Integration Methods on the Solution of an Adiabatic Shear Banding Problem, Int. J. Num. Methods Engng, 29, 1639-1642, 1990.

13. R. C. Batra and C. H. Kim, The Interaction Among Adiabatic Shear Bands in Simple and Dipolar Materials, Int. J. Engng. Sci., 28, 927-942, 1990.

14. Z. G. Zhu and R. C. Batra, Dynamic Shear Band Development in Plane Strain Compression of a Viscoplastic Body Containing a Rigid Inclusion, Acta Mechanica, 84, 89-107, 1990.

15. R. C. Batra and C. H. Kim, Effect of Viscoplastic Flow Rules on the Initiation and Growth of Shear Bands at High Strain Rates, J. Mechs. Phys. Solids, 38, 859-874, 1990.

16. R. C. Batra and X.-T. Zhang, Shear Band Development in Dynamic Loading of a Viscoplastic Cylinder Containing Two Voids, Acta Mechanica, 85, 221-234, 1990.

17. Z. G. Zhu and R. C. Batra, Analysis of Shear Banding in Plane Strain Compression of a Bimetallic Thermally Softening Viscoplastic Body Containing an Elliptical Void, J. Engng. Materials & Technology, 113, 382-395, 1991.

18. R. C. Batra and Z. G. Zhu, Dynamic Shear Band Development in a Thermally Softening Bimetallic Body Containing Two Voids, Acta Mechanica, 86, 31-52, 1991.

19. R. C. Batra and Z. G. Zhu, Dynamic Adiabatic Shear Band Development in a Bimetallic Body Containing a Void, Int. J. Solids Structures, 27, 1829-1854, 1991.

20. R. C. Batra and C. H. Kim, Effect of Thermal Conductivity on the Initiation , Growth and Band Width of Adiabatic Shear Bands, Int. J. Engng. Sci., 29, 949-960, 1991.

21. Z. G. Zhu and R. C. Batra, Shear Band Development in a Thermally Softening Viscoplastic Body, Computers & Structures, 39, 459-472, 1991.

22. C. H. Kim and R. C. Batra, Effect of Initial Temperature on the Initiation and Growth of Shear Bands in a Plain Carbon Steel, Int. J. Nonlinear Mechs., 27, 279-291, 1992.

23. R. C. Batra and C. H. Kim, Analysis of Shear Bands in Twelve Materals, Int. J. Plasticity, 8, 425-452, 1992.

24. Z. G. Zhu and R. C. Batra, Consideration of Phase Transformations in the Study of Shear Bands in a Dynamically Loaded Steel Block, J. Eng’g Mat’l Tech., 114, 368-377, 1992.

25. R. C. Batra and K. I. Ko, An Adaptive Mesh Refinement Technique for the Analysis of Shear Bands in Plane Strain Compression of a Thermoviscoplastic Solid, Computational Mechs., 10, 369-379, 1992.

26. Xiang-Tong Zhang and R. C. Batra, An Approximate Linear Stability Analysis of Simple Shearing Deformations of a Dipolar Viscoplastic Material, J. Mathematical and Physical Sciences, 26, 475-483, 1992.

27. R. C. Batra and K. I. Ko, Analysis of Shear Bands in Dynamic Axisymmetric Compression of a Thermoviscoplastic Cylinder, Int. J. Engng. Sci., 31, 529-547, 1993.

28. R. C .Batra and X. T. Zhang, Analysis of Shear Bands in a Dynamically Loaded Viscoplastic Cylinder Containing Two Rigid Inclusions, Acta Mechanica, 100, 105-114, 1993.

29. Z. G. Zhu and R. C. Batra, Analysis of Dynamic Shear Bands in an FCC Single Crystal, Int. J. Plasticity, 9, 653-696, 1993.

30. R. C. Batra and J. Hwang, An Adaptive Mesh Refinement Technique for Two-Dimensional Shear Band Problems, Computat’l Mechs., 12, 255-268, 1993.

31. Y. Wang and R. C. Batra, Effect of Kinematic hardening on the Initiation and Growth of Shear Bands in Plane Strain Compression of a Thermoviscoplastic Solid, Acta Mechanica, 102, 217-233, 1994.

32. R. C. Batra and X. Zhang, On the Propagation of a Shear Band in a Steel Tube, J. Eng’g Materials & Technology, 116, 155-161, 1994.

33. R. C. Batra and L. Wang, Analysis of Dynamic Shear Bands Under Combined Loading, Int. J. Eng’g Analysis & Design, 1, 79-90, 1994.

34. R. C. Batra and J. Hwang, Dynamic Shear Band Development in Dipolar Thermoviscoplastic Materials, Computational Mechs., 12, 354-369, 1994.

35. R. C. Batra and X. S. Jin, Analysis of Dynamic Shear Bands in Porous Thermally Softening Viscoplastic Materials, Archives of Mechanics, 46, 13-36, 1994.

36. R. C. Batra, X. Zhang and T. W. Wright, Critical Strain Ranking of Twelve Materials in Deformations Involving Adiabatic Shear Bands, J. Appl. Mechs., 62, 252-255, 1995.

37. R. C. Batra and Z. Peng, Development of Shear Bands in Dynamic Plane Strain Compression of Depleted Uranium and Tungsten Blocks, Int. J. Impact Eng’g, 16, 375-395, 1995.

38. R. C. Batra and Z. G. Zhu, Effect of Loading Direction and Initial Imperfections on the Development of Dynamic Shear Bands in a FCC Single Crystal, Acta Mechanica, 113, 185-203, 1995.

39. R. C. Batra and C. Adulla, Effect of Prior Quasistatic Loading on the Initiation and Growth of Dynamic Adiabatic Shear Bands, Archives of Mechanics, 47, 485-498, 1995.

40. R. C. Batra, C. Adulla and T. W. Wright, A Comparison of 1-D and 3-D Simulations of the Twisting of a Thermoviscoplastic Tube, Int. J. Plasticity, 12, 29-34, 1996.

41. R. C. Batra and Z. Peng, Development of Shear Bands during the Perforation of a Steel Plate, Computational Mechs., 17, 326-334, 1996.

42. R. C. Batra, C. Adulla and T. W. Wright, Effect of Defect Shape and Size on the Initiation of Adiabatic Shear Bands, Acta Mechanica, 116, 239-243, 1996.

43. R. C. Batra and N. V. Nechitailo, Analysis of Failure Modes in Impulsively Loaded Pre-Notched Steel Plates, Int. J. Plasticity, 13, 291-308, 1997.

44. R. C. Batra and D. Rattazzi, Adiabatic Shear Banding in a Thick-Walled Steel Tube, Comp. Mechs., 20, 412-426, 1997.

45. R. C. Batra and J. B. Stevens, Adiabatic Shear Bands in Axisymmetric Impact and Penetration Problems, Computer Methods in Appl. Mechs. & Eng’g., 151, 325-342, 1998.

46. R. C. Batra and N. M. Wilson, Adiabatic Shear Bands in Plane Strain Deformations of a WHA, Int. J. Plasticity, 14, 43-60, 1998.

47. L. Chen and R. C. Batra, Shear Instability Direction at a Crack Tip in a Thermoviscoplastic Body, Theoretical & Appl. Fract. Mechs., 29, 33-40, 1998.

48. L. Chen and R. C. Batra, Analysis of Material Instability at an Impact Loaded Crack Tip, Theoretical & Appl. Fracture Mechs., 29, 213-217, 1998.

49. L. Chen and R. C. Batra, Material Instability Criterion near a Notch-Tip under Locally Adiabatic Deformations of Thermoviscoplastic Materials, Theorectical & Applied Fracture Mechs., 30, 153-158, 1998.

50. J. B. Stevens and R. C. Batra, Adiabatic Shear Bands in the Taylor Impact Test for a WHA Rod, Int. J. Plasticity, 14, 841-854, 1998.

51. R. C. Batra and L. Chen, Shear Band Spacing in Gradient-Dependent Thermoviscoplastic Materials, Comp. Mechs., 23, 8-19, 1999.

52. L. Chen and R. C. Batra, The Asymptotic Structure of a Shear Band in Mode-II Deformations, Int. J. Engng. Sci., 37, 895-919, 1999.

53. L. Chen and R. C. Batra, Effect of Materials Parameters on Shear Band Spacing in Work-Hardening Gradient-Dependent Thermoviscoplastic Materials, Int. J. Plasticity, 15, 551-574, 1999.

54. 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. Fracture, 101, 99-140, 2000.

55. R. C. Batra and M. V. S. Ravisankar, Three-dimensional Numerical Simulation of the Kalthoff Experiment, Int. J. Fracture, 105, 161-186, 2000.

56. L. Chen and R. C. Batra, Microstructural Effects on Shear Instability and Shear Band Spacing, Theoretical & Appl. Fracture Mechs., 34, 155-166, 2000.

57. R. C. Batra and N. A. Jaber, Failure Mode Transition Speeds in an Impact Loaded Prenotched Plate with Four Thermoviscoplastic Relations, Int. J. Fracture, 110, 47-71, 2001.

58. R. C. Batra and L. Chen, Instability Analysis and Shear Band Spacing in Gradient-Dependent Thermoviscoplastic Materials with Finite Speeds of Thermal Waves, Archives of Mechanics, 53, 167-192, 2001.

59. R. C. Batra and L. Chen, Effect of Viscoplastic Relations on the Instability Strain, Shear Band Initiation Strain, the Strain Corresponding to the Minimum Shear Band Spacing, and the Band Width in a Thermoviscoplastic Materials, Int. J. Plasticity, 17, 1465-1489, 2001.

60. R. C. Batra, N. A. Jaber and M. E. Malsbury, Analysis of Failure Modes in an Impact Loaded Thermoviscoplastic Prenotched Plate, Int. J. Plasticity, 19, 139-196, 2003.

61. R. C. Batra and M. H. Lear, Simulation of Brittle and Ductile Fracture in an Impact Loaded Prenotched Plate, Int. J. of Fracture, 126, 179-203, 2004.

62. R. C. Batra and B. M. Love, Adiabatic Shear Bands in Functionally Graded Materials, J. Thermal Stresses, 27, 1101-1123, 2004.

63. R. C. Batra, G. M. Zhang, Analysis of Adiabatic Shear Bands in Elasto-Thermo-Viscoplasatic Materials by Modified Smoothed-Particle Hydrodynamics (MSPH) Method, J. of Computational Physics, 201, 172-190, 2004.

64. R. C. Batra and M. H. Lear, Adiabatic Shear Banding in Plane Strain Tensile Deformations of Eleven Thermoelastoviscoplastic Materials with Finite Thermal Wave Speed, Int. J. Plasticity, 21, 1521-1545, 2005.

65. R. C. Batra and Z. G. Wei, Shear Band Spacing in Thermoviscoplastic Materials, Int. J. Impact Engineering, 32, 947-967, 2006.

66. R. C. Batra, Z. G. Wei, Dynamic Buckling of a Thin Thermoviscoplastic Rectangular Plate, Thin-Walled Structures, 43, 273-290, 2005.

  1. R. C. Batra and Z. G. Wei, Shear Bands Due to Heat Flux Prescribed at Boundaries, Int. J. Plasticity, 22, 1-15, 2006.
  2. R. C. Batra and B. M. Love, Crack Propagation due to Brittle and Ductile Failures in Microporous Thermoelastoviscoplastic Functionally Graded Materials, Engineering Fracture Mechanics, 72, 1954-1979, 2005.
  3. R. C. Batra and Zhicun Wang, Failure Mode Transition Speed in Three-dimensional Transient Deformations of a Microporous Heat-Conducting Thermoelastoviscoplastic Prenotched Plate, J. Thermal Stresses, 28, 533-562, 2005.
  4. R. C. Batra and B. M. Love, Mesoscale Analysis of Shear Bands in High Strain Rate Deformations of Tungsten/Nickel-Iron Composites, J. of Thermal Stresses, 28, 747-782, 2005.
  5. R. C. Batra and B. M. Love, Multiscale Analysis of Adiabatic Shear Bands in Tungsten Heavy Alloy Particulate Composites, Int’l. J. Multiscale Computational Eng’g., 4, 95-114, 2006.
  6. B. M. Love and R. C. Batra, Determination of Effective Thermomechanical Parameters of a Mixture of Two Thermoviscoplastic Constituents, Int. J. Plasticity, 22, 1026-1061, 2006.
  7. Z. G. Wei, J. L. Yu and R. C. Batra, Dynamic Buckling of Thin Cylindrical Shells under Axial Impact, Int. J. Impact Engng., 32, 575-592, 2005.
  8. R. C. Batra and Z. G. Wei, Instability Strain and Shear Band Spacing in Simple Tensile/Compressive Deformations of Thermoviscoplastic Materials, Int. J. Impact Engng., 34, 448-461, 2007.
  9. R. C. Batra and B. M. Love, Consideration of Microstructural Effects in the Analysis of Adiabatic Shear Bands in a Tungsten Heavy Alloy, Int. J. Plasticity, 22, 1858-1878, 2006.
  10. Z. G. Wei and R C. Batra, Damage Model for Anisotropic Materials and its Application to Analysis of Stability and Spallation, Int. J. Impact Eng’g., 34, 1780-1796, 2007.
  11. Z. G. Wei and R. C. Batra, Dynamic Buckling of Thin Thermoviscoplastic Cylindrical Shell under Radial Impulsive Loading, Thin-Walled Structures, 44, 1109-1117, 2006.
  12. R. C. Batra and S. Romano, Failure of Dynamically Loaded Thermoelastoviscoplastic Rectangular Plate, AIAA J., 45:8, 2015-2023, 2007.
  13. R. C. Batra and G. M. Zhang, Modified Smoothed Particle Hydrodynamics (MSPH) Basis Functions for Meshless Methods, and Their Application to Axisymmetric Taylor Impact Test, J. of Computational Physics, 227, 1962-1981, 2008.
  14. R. C. Batra and D. Spinello, Analysis of Adiabatic Shear Bands in Heat-conducting Elastothermoviscoplastic Materials by the Meshless Local Bubnov-Galkerkin Method, Communcation in Numerical Methods in Engineering, (accepted).