APPLICATION OF CONTOUR INTEGRALS TO ASSESSMENT OF NOTCH STABILITY IN LINEAR ELASTICITY

Abstract cze:
Abstrakt: The integral concepts for calculation of the generalized stress intensity factor and elastic T stress are presented. Both the integrals are based on a validity of the Betti reciprocal theorem. The unique analytical expression of the complementary problem is derived using the Muskhelisvili complex potentials, whereas components of the stress and displacement field are obtained numerically using the Boundary Element Method. The generalized stress intensity factor concept as well as the contour integral for calculation of the elastic T stress are used on single edge notched tension (SENT) specimen to show a validity of the discussed approach. This article yields a comprehensive study of the integral approach for calculation offracture-mechanics parameters in case when the integration is carried out across the material interface.

Abstract eng:
Abstract: The integral concepts for calculation of the generalized stress intensity factor and elastic T stress are presented. Both the integrals are based on a validity of the Betti reciprocal theorem. The unique analytical expression of the complementary problem is derived using the Muskhelisvili complex potentials, whereas components of the stress and displacement field are obtained numerically using the Boundary Element Method. The generalized stress intensity factor concept as well as the contour integral for calculation of the elastic T stress are used on single edge notched tension (SENT) specimen to show a validity of the discussed approach. This article yields a comprehensive study of the integral approach for calculation offracture-mechanics parameters in case when the integration is carried out across the material interface.

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