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math.AP2022★ 1 cited
Inverse problems of inhomogeneous fracture toughness using phase-field models
Yueyuan Gao, Natsuhiko Yoshinaga
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…
math.AP2018★ 2 cited
The Swift-Hohenberg Equation under directional-quenching: finding heteroclinic connections using spatial and spectral decompositions
Rafael Monteiro, Natsuhiko Yoshinaga
We study the existence of patterns (nontrivial, stationary solutions) for one-dimensional Swift-Hohenberg Equation in a directional quenching scenario, that is, on the en…