Affiliations: Mechanics and Materials Science Research Center, Ningbo University, Ningbo, China
Note: [] Address for correspondence: Prof. Fenghua Zhou, 818 Fenghua Road, Ningbo, Zhejiang Province 315211, China. E-mail: [email protected].
Abstract: The dynamic fracture process of a material containing an array of cracks is studied. By symmetry a unit crack body is analyzed, with the material separation behavior described by a linear cohesive law. Exact solutions of the problem are obtained by using Laplace transform, rendering the theoretical expressions for the crack and the boundary stresses, and the energy flux into the crack body during fracture. For a prescribed strainrate, the energy flux is evaluated for different crack spacing. It is found that there exists a preferred crack spacing corresponding to the minimum energy flux, and the value of this spacing is a reasonable estimate of the average fragment size in a natural brittle fragmentation process.
Keywords: Dynamic fragmentation, cohesive fracture, unit crack body model, decohesion, minimum energy flux
