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Dynamic crack propagation in anisotropic solids under non-classical thermal shock

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Abstract

Dynamic crack propagation in anisotropic cracked solids exposed to a generalized thermal shock within the framework of XFEM is investigated in this paper. The generalized theories of thermoelasticity, especially the Green–Naghdi (GN) model, are critically reviewed to demonstrate its features to study thermal wave transmission in anisotropic materials. An interaction integral is developed to extract stress intensity factors (SIFs) for dynamically moving cracks in anisotropic solids under thermal loading. In addition, a new set of tip enrichment functions for the temperature, based on the GN II model, is derived. Besides, the modified form of the maximum tangential stress (MTS) criterion, by using the near-tip stress field of a dynamically moving crack, is implemented to predict the crack growth direction. The accuracy and robustness of the proposed interaction integral and the modified form of the MTS criterion are investigated in several numerical examples including quasi-stationary as well as dynamic crack propagation in anisotropic structures. In the last two examples, the impact of material anisotropy, thermal shock magnitude, and the GN dissipation coefficient on the crack propagation path is examined. These examples show that for strong anisotropy, the thermal shock magnitude does not have any significant effect on the crack growth path. However, the crack may grow in an unexpected path for weak anisotropy.

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  1. Faculty of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran

    Seyed Hadi Bayat & Mohammad Bagher Nazari

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Bayat, S.H., Nazari, M.B. Dynamic crack propagation in anisotropic solids under non-classical thermal shock. Engineering with Computers 40, 1177–1216 (2024). https://doi.org/10.1007/s00366-023-01848-1

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