9 research outputs found
Derivation of a general three-dimensional crack-propagation law: A generalization of the principle of local symmetry
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.Comment: 31 pages, including several figure
Quasi-conformal mappings and periodic spectral problems in dimension two
No description supplie