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A framework to model the fatigue behavior of brittle materials based on a variational phase-field approach. (English) Zbl 1442.74195
Summary: A novel variational framework to model the fatigue behavior of brittle materials based on a phase-field approach to fracture is presented. The standard regularized free energy functional is modified introducing a fatigue degradation function that effectively reduces the fracture toughness as a proper history variable accumulates. This macroscopic approach allows to reproduce the main known features of fatigue crack growth in brittle materials. Numerical experiments show that the Wöhler curve, the crack growth rate curve and the Paris law are naturally recovered, while the approximate Palmgren-Miner criterion and the monotonic loading condition are obtained as special cases.

MSC:
74R05 Brittle damage
74R10 Brittle fracture
74S05 Finite element methods applied to problems in solid mechanics
Software:
PROCRACK
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