Abstract
AbstractBased on the work by Eshelby, the path‐independent Jk‐, M‐, L‐ and interaction‐ or Ik‐integrals were introduced and applied to cracks for the accurate calculation of crack tip loading quantities. Applying the FE‐method to solve boundary value problems with cracks, numerically inaccurate values are observed within the crack tip region affecting the accuracy of local approaches. Simulating crack paths, local approaches face further problems as cracks are running towards interfaces, internal boundaries or other crack faces. Within global approaches, path‐independent integrals are calculated along remote contours far from the crack tip, essentially exploiting numerically reliable data requiring special treatment only for the near‐tip crack faces. To provide path‐independence, additional integrals along interfaces, internal boundaries and crack faces are necessary.In this paper, new global approaches of path‐independent integrals are presented and applied to the calculation of crack paths at two‐cracks systems. A second focus is directed to the accurate loading analysis and crack path prediction considering anisotropic properties and material interfaces. The numerical model provides crack paths which are in good agreement with those obtained from crack growth experiments. (© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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