Publication 21-CNA-003

Analysis of a Model of Field Crack Mechanics for Brittle Materials

Léo Morin
PIMM, Arts et Metiers Institute of Technology, CNRS, Cnam
HESAM University
151 boulevard de l'Hopital, 75013 Paris, France

Amit Acharya
Dept. of Civil & Environmental Engineering
Center for Nonlinear Analysis
Carnegie Mellon University
Pittsburgh, PA 15213
acharyaamit@cmu.edu

Abstract: A computational model for arbitrary brittle crack propagation, in a fault-like layer within a 3-d elastic domain, and its associated quasi-static and dynamic fields is developed and analyzed. It uses a FFT-based solver for the balance of linear momentum and a Godunov-type projection-evolution method for the crack evolution equation. As applications, we explore the questions of equilibria and irreversibility for crack propagation with and without surface energy, existence of strength and toughness criteria, crack propagation under quasi-static and dynamic conditions, including Modes I, II and III, as well as multiaxial compressive loadings.

Get the paper in its entirety as  21-CNA-003.pdf

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