ON PATH-INDEPENDENT INTEGRALS AND FRACTURE CRITERIA IN NONLINEAR FRACTURE DYNAMICS

Applied Mathematics and Mechanics (English Edition) ›› 1982, Vol. 3 ›› Issue (3): 335-343.

ON PATH-INDEPENDENT INTEGRALS AND FRACTURE CRITERIA IN NONLINEAR FRACTURE DYNAMICS

欧阳鬯

Dept. Mathematics, Fudan University, Shanghai, now visiting Professor of University of Texas at Austin, U.S.A.

收稿日期:1981-01-01 出版日期:1982-05-18 发布日期:1982-05-18

ON PATH-INDEPENDENT INTEGRALS AND FRACTURE CRITERIA IN NONLINEAR FRACTURE DYNAMICS

Ouyang Chang

Dept. Mathematics, Fudan University, Shanghai, now visiting Professor of University of Texas at Austin, U.S.A.

Received:1981-01-01 Online:1982-05-18 Published:1982-05-18

摘要/Abstract

摘要： In this paper, we consider path-independent integrals and fracture criteria in nonlinear fracture dynamics. The dynamic effect and crack propagation are included in the discussion. Both nonlinear elastic and elastic-plastic case for crack propagation have been considered, and the related path-independent integrals are proposed. As an example, the steady state propagation of crack has been discussed. Lastly, we give the mechanical meaning of this path-independent integrals as the crack extension force, and make it possible to use the path-independent integrals (as fracture criterion in nonlinear fracture dynamics).

关键词: liquid sloshing, force, moment, liquid-solid coupled system

Abstract: In this paper, we consider path-independent integrals and fracture criteria in nonlinear fracture dynamics. The dynamic effect and crack propagation are included in the discussion. Both nonlinear elastic and elastic-plastic case for crack propagation have been considered, and the related path-independent integrals are proposed. As an example, the steady state propagation of crack has been discussed. Lastly, we give the mechanical meaning of this path-independent integrals as the crack extension force, and make it possible to use the path-independent integrals (as fracture criterion in nonlinear fracture dynamics).

Key words: liquid sloshing, force, moment, liquid-solid coupled system

欧阳鬯. ON PATH-INDEPENDENT INTEGRALS AND FRACTURE CRITERIA IN NONLINEAR FRACTURE DYNAMICS[J]. Applied Mathematics and Mechanics (English Edition), 1982, 3(3): 335-343.

Ouyang Chang. ON PATH-INDEPENDENT INTEGRALS AND FRACTURE CRITERIA IN NONLINEAR FRACTURE DYNAMICS[J]. Applied Mathematics and Mechanics (English Edition), 1982, 3(3): 335-343.

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ON PATH-INDEPENDENT INTEGRALS AND FRACTURE CRITERIA IN NONLINEAR FRACTURE DYNAMICS

ON PATH-INDEPENDENT INTEGRALS AND FRACTURE CRITERIA IN NONLINEAR FRACTURE DYNAMICS

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