On path-independent integrals in three-dimensional nonlinear fracture dynamics
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This paper deals with the path-independent integrals in nonlinear three-dimensional fracture dynamics. Both the nonlinear elastic case and the elastic-plastic case are considered, and some path-independent integrals have been worked out. For explaining the physical meaning of these integrals, a specimen with plane notch is considered, and the relation between the integral and dynamical crack extension force is established. Thus, such integrals may serve as a fracture criterion in nonlinear fracture dynamics.
KeywordsMathematical Modeling Industrial Mathematic Physical Meaning Fracture Criterion Crack Extension
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