Abstract
The quasicontinuum (QC) method is a computational technique that can efficiently handle atomistic lattices by combining continuum and atomistic approaches. In this work, the QC method is combined with an adaptive algorithm, to obtain correct predictions of crack trajectories in failure simulations. Numerical simulations of crack propagation in elastic-brittle disordered lattices are performed for a two-dimensional example. The obtained results are compared with the fully resolved particle model. It is shown that the adaptive QC simulation provides a significant reduction of the computational demand. At the same time, the macroscopic crack trajectories and the shape of the force-displacement diagram are very well captured.
Highlights
Discrete particle models can effectively capture complex material responses, especially localized phenomena such as damage or plastic softening
In order to simulate crack propagation, the QC method needs to be combined with an adaptive algorithm that allows crack growth in arbitrary directions and initialization of new cracks
A small initial area of high interest is prescribed around this corner; see Figure 1
Summary
Discrete particle models can effectively capture complex material responses, especially localized phenomena such as damage or plastic softening. The main disadvantage of particle-based approaches is that a huge number of particles is needed to describe the response of large-scale physically relevant models. This results in an extensive system of equations, which is expensive to solve. The material is represented by particles interacting via elastic-brittle links forming a disordered two-dimensional lattice. Axial interaction between particles is considered and the behavior of links is assumed to be perfectly elastic-brittle, with link breakage occurring at a critical level of tensile strain
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