Journal of Theoretical
and Applied Mechanics

56, 3, pp. 657-674, Warsaw 2018
DOI: 10.15632/jtam-pl.56.3.657

A continuum description of failure waves

Hamid Said, James Glimm
Shattering of a brittle material such as glass occurs dynamically through a propagating
failure wave, which however, can not be assigned to any of the classical wave. In this paper,
we build a thermodynamically consistent theory based on the idea that a failure wave is
analogous to a deflagration wave. Our theory admits, as special cases, the classical models
of Feng and Clifton. Two fundamental thermodynamic functions form the basis of our theory.
This approach allows for the construction of a new variational principle and a Lagrangian
formulation. Finally, the theory is linearized to interpret specific experimental observations.
Keywords: brittle fracture, failure wave, internal variable, dissipative systems, variational principle


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