Optimal scaling laws for ductile fracture derived from strain-gradient microplasticity

• Published in: Journal of the mechanics and physics of solids Vol. 62; pp. 295 - 311
• Main Authors: Fokoua, Landry, Conti, Sergio, Ortiz, Michael
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.01.2014
• Subjects: Allowances; Ductile fracture; Fracture mechanics; Hardening; Mathematical analysis; Multiscale analysis; Optimal scaling; Optimization; Plasticity; Scaling laws; Strain-gradient plasticity; Variational models; Optimal scaling; Strain-gradient plasticity; Ductile fracture; Variational models; Multiscale analysis

We perform an optimal-scaling analysis of ductile fracture in metals. We specifically consider the deformation up to failure of a slab of finite thickness subject to monotonically increasing normal opening displacements on its surfaces. We show that ductile fracture emerges as the net outcome of two...