期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 353, 期 -, 页码 44-65出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2019.04.027
关键词
Fracture; Variational approach; Plasticity; Phase field; Crack nucleation; Crack propagation
资金
- U.S. National Science Foundation under the Designing Materials to Revolutionize and Engineer our Future (DMREF) Program [DMS-1535083, 1535076]
- U.S. National Science Foundation under the Applied Mathematics program [DMS-1716763]
- National Science Foundation [OCI-1053575, TG-DMS060014]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1535076] Funding Source: National Science Foundation
Crack initiation and propagation in elastic-perfectly plastic bodies is studied in a phase-field or variational gradient damage formulation. A rate-independent formulation that naturally couples elasticity, perfect plasticity and fracture is presented, and used to study crack initiation in notched specimens and crack propagation using a surfing boundary condition. Both plane strain and plane stress are addressed. It is shown that in plane strain, a plastic zone blunts the notch or crack tip which in turn inhibits crack nucleation and propagation. Sufficient load causes the crack to nucleate or unpin, but the crack does so with a finite jump. Therefore the propagation is intermittent or jerky leaving behind a rough surface. In plane stress, failure proceeds with an intense shear zone ahead of the notch or crack tip and the fracture process is not complete. (C) 2019 Elsevier B.V. All rights reserved.
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