Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 363, Issue -, Pages -Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2019.112793
Keywords
Phase-field fracture; FFT; Heavy-ball method; Brittle fracture; Micromechanics; Fiber reinforced composites
Funding
- German Research Foundation (DFG) within the International Research Training Group Integrated engineering of continuous-discontinuous long fiber reinforced polymer structures [GRK 2078]
- DFG, Germany [SCHN 1595/2-1]
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We study fast and memory-efficient FFT-based implicit solution methods for small-strain phase-field crack problems for microstructured brittle materials. A fully implicit first order formulation of the problem coupling elasticity and damage permits using comparatively few, but large, time steps compared to semi-explicit schemes. We investigate memory-efficient FFT-based solution techniques, and identify the heavy ball scheme as particularly powerful. We discuss the memory-efficient implementation and present demonstrative numerical examples. (C) 2019 Elsevier B.V. All rights reserved.
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