Effects of plasticity on the anisotropy of the effective fracture toughness

TL;DR

This study explores how plasticity influences the anisotropy of effective fracture toughness in layered materials using phase-field modeling, revealing complex interactions between heterogeneity, crack paths, and toughening mechanisms.

Contribution

It introduces a phase-field model to analyze the impact of plasticity and heterogeneity on fracture toughness anisotropy in layered materials, highlighting new toughening mechanisms.

Findings

Effective toughness equals the maximum point-wise toughness except when layers are parallel to propagation.

Crack paths are influenced by layer properties, with interfaces guiding crack propagation.

Multiple toughening mechanisms, including stress fluctuations and plastic dissipation, are identified.

Abstract

This paper investigates the effects of plasticity on the effective fracture toughness. A layered material is considered as a modelling system. An elastic-plastic phase-field model and a surfing boundary condition are used to study how the crack propagates throughout the material and the evolution of the effective toughness as a function of the layer angle. We first study three idealized situations, where only one property among fracture toughness, Young's modulus and yield strength is heterogeneous whereas the others are uniform. We observe that in the case of toughness and strength heterogeneity, the material exhibits anomalous isotropy: the effective toughness is equal to the largest of the point-wise values for any layer angle except when the layers are parallel to the macroscopic direction of propagation. As the layer angle decreases, the crack propagates along the brittle-to-tough interfaces, whereas it goes straight when the layers have different yield strength but uniform toughness. We find that smooth deflections in the crack path do not induce any overall toughening and that the effective toughness is not proportional to either the cumulated fracture energy or the cumulated plastic work. In the case of elastic heterogeneity, the material is anisotropic in the sense of the effective toughness, as the latter varies as a function of the layer angle. Four toughening mechanisms are active: stress fluctuations, crack renucleation, plastic dissipation and plastic blunting. Finally, we consider a layered medium comprised of compliant-tough-weak and stiff-brittle-strong phases, as it is the case for many structural composites. We observe a transition from an interface-dominated to a plasticity-dominated failure regime, as the phase constituents become more ductile. The material is anisotropic in the sense of the effective toughness.