期刊
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
卷 126, 期 -, 页码 136-150出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2019.02.011
关键词
Strain gradient plasticity; Length scales; Cohesive zone modelling; Finite element analysis; Fracture
资金
- BP (ICAMO2ex) through the BP International Centre for Advanced Materials (BP-ICAM)
- Ministry of Economy and Competitiveness of Spain [MAT2014-58738-C3]
- People Programme (Marie Curie Actions) of the European Union's Seventh Framework Programme (FP7/2007-2013) under REA grant [609405]
- Danish Council for Independent Research through the research project Advanced Damage Models with InTrinsic Size Effects [DFF-7017-00121]
- European Research Council [669764]
Crack advance from short or long pre-cracks is predicted by the progressive failure of a cohesive zone in a strain gradient, elasto-plastic solid. The presence of strain gradients leads to the existence of an elastic zone at the tip of a stationary crack, for both the long crack and the short crack cases. This is in sharp contrast with previous asymptotic analyses of gradient solids, where elastic strains were neglected. The presence of an elastic singularity at the crack tip generates stresses which are sufficiently high to activate quasi-cleavage. For the long crack case, crack growth resistance curves are predicted for a wide range of ratios of cohesive zone strength to yield strength. Remarkably, this feature of an elastic singularity is preserved for short cracks, leading to a severe reduction in tensile ductility. In qualitative terms, these predictions resemble those of discrete dislocation calculations, including the concept of a dislocation-free zone at the crack tip. (C) 2019 Elsevier Ltd. All rights reserved.
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