On Path-Independent Integrals and Fracture Criteria in Nonlinear Fracture Dynamics

Ouyang Chang

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Article Navigation > Applied Mathematics and Mechanics > 1982 > 3(3): 297-305

Ouyang Chang. On Path-Independent Integrals and Fracture Criteria in Nonlinear Fracture Dynamics[J]. Applied Mathematics and Mechanics, 1982, 3(3): 297-305.

Citation:

Ouyang Chang. On Path-Independent Integrals and Fracture Criteria in Nonlinear Fracture Dynamics[J]. Applied Mathematics and Mechanics, 1982, 3(3): 297-305.

Citation:

Ouyang Chang. On Path-Independent Integrals and Fracture Criteria in Nonlinear Fracture Dynamics[J]. Applied Mathematics and Mechanics, 1982, 3(3): 297-305.

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On Path-Independent Integrals and Fracture Criteria in Nonlinear Fracture Dynamics

Ouyang Chang

Dept. of Mathematics, Fudan University, Shanghai

Received Date: 1981-01-01
Publish Date: 1982-06-15

Abstract

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.

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References(3)

References

[1]	Rice.J.R.,J.A.M.,Vol.35. No.2(1968).
[2]	Ouyang.C.,Int.J.Eng.Sc.,Vol.18. No.2(198O).
[3]	Ouyang.C.,TICOM Report 80-12. University of Texas at Austin.U.S.A.(1980).