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20182022
most citedApproximation of balanced viscosity solutions of a rate-independent damage model by combining alternate minimization with a local minimization algorithm

2 citations · 2 across the 2 of their papers we have counts for

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math.AP2022★ 2 cited

Approximation of balanced viscosity solutions of a rate-independent damage model by combining alternate minimization with a local minimization algorithm

Samira Boddin, Felix Rörentrop, Dorothee Knees +1

The modeling of cracks has been an intensely researched topic for decades - both from the mechanical as well as from the mathematics point of view. As far as the modeling of sharp…

math.AP2019

Existence of parameterized BV-solutions for rate-independent systems with discontinuous loads

Dorothee Knees, Chiara Zanini

We study a rate-independent system with non-convex energy and in the case of a time-discontinuous loading. We prove existence of the rate-dependent viscous regularization by time-i…