TY - JOUR
T1 - A study of dynamic crack growth in elastic materials using a cohesive zone model
AU - Costanzo, Francesco
AU - Walton, Jay R.
N1 - Funding Information:
Acknowledgements--The authors gratefully acknowledge the support for this research provided by the Air Force Office of Scientific Research and the National Science Foundation through the AFOSR grant no. F49620-96-1-0294 and the NSF grant no. DMS-9106332.
PY - 1997
Y1 - 1997
N2 - The problem of a semi-infinite mode III crack dynamically propagating in a two-dimensional linear elastic infinite body is considered. The crack tip is assumed to be a cohesive zone whose (finite) size is determined so as to cancel the classical crack tip stress singularity caused by the applied loads. The cohesive zone behavior is assumed rate dependent and is characterized by a thermodynamically based constitutive equation. A new semi-analytical solution method has been formulated to solve the resulting initial value problem. The proposed solution method offers the capability to analyze the entire crack growth phenomenon (acceleration-steady state-arrest), without requiring special assumptions, neither on the crack propagation mode (e.g. steady state or assigned crack tip velocity), nor on the space-time discretization, so to obtain solutions that are not affected by grid size effects. Several solutions, corresponding to various values of the initial and boundary conditions as well as cohesive zone constitutive properties, are presented and analyzed.
AB - The problem of a semi-infinite mode III crack dynamically propagating in a two-dimensional linear elastic infinite body is considered. The crack tip is assumed to be a cohesive zone whose (finite) size is determined so as to cancel the classical crack tip stress singularity caused by the applied loads. The cohesive zone behavior is assumed rate dependent and is characterized by a thermodynamically based constitutive equation. A new semi-analytical solution method has been formulated to solve the resulting initial value problem. The proposed solution method offers the capability to analyze the entire crack growth phenomenon (acceleration-steady state-arrest), without requiring special assumptions, neither on the crack propagation mode (e.g. steady state or assigned crack tip velocity), nor on the space-time discretization, so to obtain solutions that are not affected by grid size effects. Several solutions, corresponding to various values of the initial and boundary conditions as well as cohesive zone constitutive properties, are presented and analyzed.
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U2 - 10.1016/s0020-7225(97)00030-x
DO - 10.1016/s0020-7225(97)00030-x
M3 - Article
AN - SCOPUS:0031223328
SN - 0020-7225
VL - 35
SP - 1085
EP - 1114
JO - International Journal of Engineering Science
JF - International Journal of Engineering Science
IS - 13-12
ER -