Multiphysics Phase-Field Fracture: Modeling, Adaptive Discretizations, and Solvers

ยท Radon Series on Computational and Applied Mathematics 28๊ถŒ ยท Walter de Gruyter GmbH & Co KG
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358
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This monograph is centered on mathematical modeling, innovative numerical algorithms and adaptive concepts to deal with fracture phenomena in multiphysics. State-of-the-art phase-field fracture models are complemented with prototype explanations and rigorous numerical analysis. These developments are embedded into a carefully designed balance between scientific computing aspects and numerical modeling of nonstationary coupled variational inequality systems. Therein, a focus is on nonlinear solvers, goal-oriented error estimation, predictor-corrector adaptivity, and interface conditions. Engineering applications show the potential for tackling practical problems within the fields of solid mechanics, porous media, and fluidstructure interaction.

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Thomas Wick, Leibniz Universitรคt Hannover, Germany.

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