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arXiv · 2210.05502

A new shape optimization approach for fracture propagation

Tim Suchan·Kathrin Welker·Winnifried Wollner
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Abstract

Within this work, we present a novel approach to fracture simulations based on shape optimization techniques. Contrary to widely-used phase-field approaches in literature the proposed method does not require a specified 'length-scale' parameter defining the diffused interface region of the phase-field. We provide the formulation and discuss the used solution approach. We conclude with some numerical comparisons with well-established single-edge notch tension and shear tests.

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Tim Suchan, Kathrin Welker, Winnifried Wollner. 2022-10-11. A new shape optimization approach for fracture propagation. https://doi.org/10.1002/pamm.202200124

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