Abstract
Variational principle of brittle fracture mechanics is employed to predict the crack path in an infinite wedge under a concentrated tensile force. The weight function in basic equation of variational problem is assumed to be proportional to the maximum strain in the uncracked wedge. Obtained equation for solving the variational problem allowed predicting the crack path in general. The predicted crack path is in agreement with experimental results obtained in the case of the truncated wedge.
Highlights
A search of the crack path is one of important problems in the field of brittle and elastic-plastic fracture mechanics
The weight function in basic equation of variational problem is assumed to be proportional to the maximum strain in the uncracked wedge
The predicted crack path is in agreement with experimental results obtained in the case of the truncated wedge
Summary
A search of the crack path is one of important problems in the field of brittle and elastic-plastic fracture mechanics This problem can be solved by means two basic approaches of fracture mechanics, namely, incremental and integral approaches. Integral approach allows predicting the crack path in general and can be based on a variational principle of fracture mechanics [7,8,9]. In this case, the crack path on the surface is described by means of search functions. The present paper deals with a variational principle of fracture mechanics to predict the crack path in a wedge under a concentrated tensile force
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