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arXiv · 2207.02441

Inverse problems of inhomogeneous fracture toughness using phase-field models

Yueyuan Gao·Natsuhiko Yoshinaga
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Abstract

We propose inverse problems of crack propagation using the phase-field models. First, we study the crack propagation in an inhomogeneous media in which fracture toughness varies in space. Using the two phase-field models based on different surface energy functionals, we perform simulations of the crack propagation and show that the $J$-integral reflects the effective inhomogeneous toughness. Then, we formulate regression problems to estimate space-dependent fracture toughness from the crack path. Our method successfully estimates the positions and magnitude of tougher regions. We also demonstrate that our method works for different geometry of inhomogeneity.

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Yueyuan Gao, Natsuhiko Yoshinaga. 2022-07-06. Inverse problems of inhomogeneous fracture toughness using phase-field models. https://doi.org/10.1016/j.physd.2023.133734

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