A unit cell model for brittle fracture of particles embedded in a ductile matrix

• Published in: Computational materials science 2002-09, Vol.25 (1), p.85-91
• Main Authors: Eckschlager, A, Han, W, Böhm, H.J
• Format: Article
• Language: English
• Subjects: Applied sciences; Computational techniques; Condensed matter: structure, mechanical and thermal properties; Exact sciences and technology; Fatigue, brittleness, fracture, and cracks; Finite-element and galerkin methods; Fractures; Mathematical methods in physics; Mechanical and acoustical properties of condensed matter; Mechanical properties and methods of testing. Rheology. Fracture mechanics. Tribology; Mechanical properties of solids; Metal matrix composites; Metals. Metallurgy; Particle fracture; Particle reinforced composites; Physics; Unit cell models; Weibull fracture probability
• ISSN: 0927-0256; 1879-0801
• DOI: 10.1016/S0927-0256(02)00252-5

A finite element based approach for modeling the successive failure of brittle particulates embedded in a ductile matrix is presented. Three-dimensional unit cells describing specific arrangements of spherical particles are employed, which are meshed so that an appropriate fracture surface is predefined for each of the inhomogeneities. Activation of brittle cleavage at these surfaces is controlled deterministically on the basis of Weibull-type fracture probabilities, which are evaluated from the current stress distributions within the particles. As a first step uniaxial tensile loading of a particle reinforced metal matrix composite is considered for which damage due to particle fracture is modeled while the other damage modes, interfacial decohesion and ductile failure of the matrix, are not active. Results covering the consecutive cleavage of a number of particles are presented and discussed in terms of the macroscopic response and of the evolution of the fracture probabilities of the particulates.