An Internal Variable Theory of Deformation, Damage, and Fragmentation of Solids

Report No. ARL-RP-149
Authors: John D. Clayton
Date/Pages: September 2006; 10 pages
Abstract: A unified framework of continuum elasticity, inelasticity, damage mechanics, and fragmentation in solid materials is presented. A free energy functional accounts for thermodynamics of elastic deformation and damage, with kinetic relations for inelastic rates adapted from prior literature. Average fragment velocities follow from momentum conservation, average fragment sizes are deduced from an energy balance, and size and velocity distributions are constructed following entropy maximization. The model is further developed to study concrete subjected to ballistic loading scenarios.
Distribution: Approved for public release
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Last Update / Reviewed: September 1, 2006