Beyond the ``principle of local symmetry'': derivation of a general crack propagation law

Details Beyond the ``principle of local symmetry'': derivation of a general crack propagation law Beyond the ``principle of local symmetry'': derivation of a general crack propagation law

1992-04-24

arxiv.org/abs/cond-mat/9204013v1

Phys. Rev. B 47, 4831 (1993)

Physics

Condensed Matter

31 pages, including several figures

Scientific paper

10.1103/PhysRevB.47.4831

We derive a general crack propagation law for slow brittle cracking, in two and three dimensions, using symmetry, gauge invariance, and gradient expansions. Our derivation provides explicit justification for the ``principle of local symmetry,'' which has been used extensively to describe two dimensional crack growth, but goes beyond that principle to describe three dimensional crack phenomena as well. We also find that there are new materials properties needed to describe the growth of general cracks in three dimensions, besides the fracture toughness and elastic constants previously used to describe cracking.

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