Ambrosio-Tortorelli Approximation of Quasi-Static Evolution of Brittle Fractures
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🧮 math.AP
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evolutionquasi-staticapproximationbrittlefracturesambrosioambrosio-tortorellibodies
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We define a notion of quasi-static evolution for the elliptic approximation of the Mumford-Shah functional proposed by Ambrosio and Tortorelli. Then we prove that this regular evolution converges to a quasi-static growth of brittle fractures in linearly elastic bodies.
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