Dissipative Damage Theory for Strongly Time-Dependent Composite Materials

A multimode, continuum damage framework is developed based on the principle of virtual power and assuming maximization of the rate of entropy production, as a further development of Hall (A theory of multi-constituent finitely-deforming composite materials subject to thermochemical changes with damage. In: Mechanics of composite and multi-functional materials, vol 7. Springer. ISBN 978-3-319-21761-1. Proceedings of the 2015 annual conference on experimental & applied mechanics (SEM, Costa Mesa, June 8-11), 2015). The criterion of Griffith for brittle damage is recovered in the rate-independent limit. Eight damage modes are recognized and assume damage initiation characterized by combinations of the components of the strain energy release rate tensor.