Abstract
The numerical manifold method (NMM) is superior in discontinuous analysis, benefiting from its bi-cover systems, i.e., the mathematical cover and the physical cover. In this work, the NMM is devoted to compute the T-stress for two-dimensional functionally graded materials (FGMs) with multiple cracks. The displacement field for cracked FGMs is firstly solved by the NMM and then the related T-stress is evaluated in the NMM postprocessing via the interaction integral method. Two typical examples are firstly tested to verify the accuracy of the proposed method and the domain-independence of the interaction integral, and then another three cases are examined to reveal the effects of material gradients, crack geometries and boundary conditions on the T-stress.
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