Abstract
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.
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Communicated by Ouyang Chang.
This work was completed during my visit to University of Texas at Austin, U.S.A.
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Mei-zi, L. On path-independent integrals in three-dimensional nonlinear fracture dynamics. Appl Math Mech 4, 377–384 (1983). https://doi.org/10.1007/BF01875670
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DOI: https://doi.org/10.1007/BF01875670