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Publication 17-CNA-020

Fracture and singularities of the mass-density gradient field

Amit Acharya
Dept. of Civil & Environmental Engineering
Center for Nonlinear Analysis
Carnegie Mellon University
Pittsburgh, PA 15215
acharyaamit@cmu.edu

Abstract: A continuum mechanical theory of fracture without singular fields is proposed. The primary contribution is the rationalization of the structure of a `law of motion' for crack-tips, essentially as a kinematical consequence and involving topological characteristics. Questions of compatibility arising from the kinematics of the model are explored. The thermodynamic driving force for crack-tip motion in solids of arbitrary constitution is a natural consequence of the model. The governing equations represent a new class of pattern-forming equations.

Get the paper in its entirety as  17-CNA-020.pdf


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