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Numerical simulation of cohesive fracture by the virtual-internal-bond model. (English) Zbl 1066.74008
Summary: The virtual-internal-bond (VIB) model [see e.g. H. Gao and P. Klein, J. Mech. Phys. Solids 46, No. 2, 187–218 (1998; Zbl 0974.74008)] has incorporated a cohesive-type law into the constitutive law of solids, such that fracture and failure of solids become a coherent part of the constitutive law, and no separate fracture or failure criteria are needed. A numerical algorithm is developed in this study for the VIB model under static loadings. The model is applied to study three examples, namely the crack nucleation and propagation from stress concentration, kinking and subsequent propagation of a mode II crack, and the buckling-driven delamination of a thin film from a substrate. The results demonstrate that the VIB model provides an effective method to study crack nucleation and propagation in engineering materials and systems.

74A45 Theories of fracture and damage
74S30 Other numerical methods in solid mechanics (MSC2010)
82B21 Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics