TY - JOUR
T1 - Stress wave propagation in rods of elastic-viscoplastic material
AU - Bodner, S. R.
AU - Aboudi, J.
N1 - Funding Information:
tThis research was sponsored in part by the Air Force Office of Scientific Research! AFSC under grant AFOSR-80-0214, through the European Office of Aerospace Research and Developmemt (EOARD), U.S. Air Force.
PY - 1983
Y1 - 1983
N2 - A number of uniaxial stress wave propagation problems are solved based on the unified, multi-dimensional, elastic-viscoplastic constitutive equations of Bodner-Partom and a finite difference numerical procedure. Solutions are obtained for cases of a velocity imposed for a time period or indefinitely at the end of a semi-infinite bar, and for the condition of a finite bar subjected to a high velocity superimposed on an applied low velocity after a time interval. Work-hardening is taken to be isotropic for stress of constant sign, while an isochoric, anisotropic work-hardening formulation is employed for problems involving stresses of reversed sign due to unloading or reflections. The numerical exercises are based on constants for a strongly strain rate sensitive material, titanium, and the results indicate good qualitative agreement with a wide range of experimental observations.
AB - A number of uniaxial stress wave propagation problems are solved based on the unified, multi-dimensional, elastic-viscoplastic constitutive equations of Bodner-Partom and a finite difference numerical procedure. Solutions are obtained for cases of a velocity imposed for a time period or indefinitely at the end of a semi-infinite bar, and for the condition of a finite bar subjected to a high velocity superimposed on an applied low velocity after a time interval. Work-hardening is taken to be isotropic for stress of constant sign, while an isochoric, anisotropic work-hardening formulation is employed for problems involving stresses of reversed sign due to unloading or reflections. The numerical exercises are based on constants for a strongly strain rate sensitive material, titanium, and the results indicate good qualitative agreement with a wide range of experimental observations.
UR - http://www.scopus.com/inward/record.url?scp=0020542213&partnerID=8YFLogxK
U2 - 10.1016/0020-7683(83)90029-X
DO - 10.1016/0020-7683(83)90029-X
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AN - SCOPUS:0020542213
SN - 0020-7683
VL - 19
SP - 305
EP - 314
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
IS - 4
ER -