Martin T, Espanol P, Rubio MA, Zuniga I. Dynamic fracture in a discrete model of a brittle elastic solid.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 2000;
61:6120-31. [PMID:
11088285 DOI:
10.1103/physreve.61.6120]
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Abstract
Dynamic fracture of brittle materials is studied by means of a molecular dynamics simulation of a two-dimensional (2D) lattice of point particles. By a particular discretization of the continuum equations of elasticity, we derive the Born model in such a way that the model parameters are related to the material properties. Numerical simulations are performed, which show a branching instability, under Mode I loading, occurring at a critical crack tip speed. The analysis of the dynamical stress tensor field near the tip shows a qualitative similarity to Yoffe's stress field.
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