TY - JOUR
T1 - Finite deformation effects in homogeneous and interfacial fracture
AU - Geubelle, Philippe H.
N1 - Funding Information:
Acknowledgments-This work has been performed as part of the author's Ph.D. thesis at the Graduate Research Laboratory at the California Institute of Technology under the supervision of Professor W. G. Knauss, whose guidance is gratefully acknowledged. This research program has been sponsored by AFSOR under the technical direction of Dr C. T. Liu and by ONR. The finite element computations have been carried out on the Cray YMP of the San Diego Supercomputing Center.
PY - 1995
Y1 - 1995
N2 - This paper summarizes recent results of asymptotic, numerical and experimental investigations of some nonlinear effects on the mechanics of fracture in homogeneous and bimaterial sheets of a particular class of hyperelastic incompressible materials. The problem is analysed within the framework of the finite strain theory of plane stress. Material induced nonlinearities are included through the use of the generalized neo-Hookean model which is characterized by three parameters which determine the small strain, "yielding" and "hardening" responses of the component(s). The structure of the near-tip stress and deformation fields is described and compared to a full-field finite element investigation. The consequences of the local results on the propagation behavior of a crack under general in-plane loading are outlined in the special case of a homogeneous sheet. The analytical results are corroborated by experimental observations obtained on natural rubber sheets.
AB - This paper summarizes recent results of asymptotic, numerical and experimental investigations of some nonlinear effects on the mechanics of fracture in homogeneous and bimaterial sheets of a particular class of hyperelastic incompressible materials. The problem is analysed within the framework of the finite strain theory of plane stress. Material induced nonlinearities are included through the use of the generalized neo-Hookean model which is characterized by three parameters which determine the small strain, "yielding" and "hardening" responses of the component(s). The structure of the near-tip stress and deformation fields is described and compared to a full-field finite element investigation. The consequences of the local results on the propagation behavior of a crack under general in-plane loading are outlined in the special case of a homogeneous sheet. The analytical results are corroborated by experimental observations obtained on natural rubber sheets.
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U2 - 10.1016/0020-7683(94)00174-U
DO - 10.1016/0020-7683(94)00174-U
M3 - Article
AN - SCOPUS:0029270835
SN - 0020-7683
VL - 32
SP - 1003
EP - 1016
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
IS - 6-7
ER -