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An efficient approach based on the path-independent interaction-integral ( I -integral) is suggested for assessing the crack tip loading in elastic structures without having to geometrically model a physical crack. Exploiting just the elastic solution of the uncracked structure, the  I -integral is adapted incorporating the closed formulation of crack tip stress and displacement fields of an auxiliary crack, which in this approach is interpreted as hypothetical physical crack. Different specimens and crack configurations are investigated, sparing the expensive numerical modeling of discontinuities, and stress intensity factors are assessed according to the auxiliary crack approach. Various results are verified based on classic crack tip loading analyses.

An auxiliary crack approach for efficient approximative crack tip loading analyses