- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:04
Interfaces and Free Boundaries
Interfaces Free Bound.
IFB
1463-9963
1463-9971
Partial differential equations
Numerical analysis
Fluid mechanics
Biology and other natural sciences
10.4171/IFB
http://www.ems-ph.org/doi/10.4171/IFB
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
16
2014
4
A variational model for the quasi-static growth of fractional dimensional brittle fractures
Simone
Racca
SISSA, TRIESTE, ITALY
Rodica
Toader
Università di Udine, UDINE, ITALY
Variational models, energy minimization, von Koch curve, crack propagation, quasi-static evolution, brittle fractures
We propose a variational model for the irreversible quasi-static evolution of brittle fractures having fractional Hausdorff dimension in the setting of two-dimensional antiplane and plane elasticity. The evolution along such irregular crack paths can be obtained as $\Gamma$ -limit of evolutions along one-dimensional cracks when the fracture toughness tends to zero.
Mechanics of deformable solids
Measure and integration
Partial differential equations
Calculus of variations and optimal control; optimization
509
538
10.4171/IFB/328
http://www.ems-ph.org/doi/10.4171/IFB/328