Some recent results on the convergence of damage to fracture (Q269586)
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scientific article; zbMATH DE number 6570505
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some recent results on the convergence of damage to fracture |
scientific article; zbMATH DE number 6570505 |
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Some recent results on the convergence of damage to fracture (English)
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19 April 2016
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Summary: We discuss a recent approximation result for Barenblatt's cohesive fracture energies in the case of antiplane shear. The regularized functionals are damage energies of Ambrosio-Tortorelli type and the approximation is obtained in the sense of \(\Gamma\)-convergence. The extension to the general case of linearized elasticity in dimension \(n\) is still an open problem. To prepare for this extension, we study the structure of a subclass of functions of bounded deformation.
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cohesive fracture
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damage problems
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phase field models
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\(\Gamma\)-convergence
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