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Thick Level Set model implementation in 3D parallel context

Abstract : A complex 3D fracture simulation of quasi-brittle material in quasi-static is still hard to tackle nowadays. Many methods and models propose partial solutions to this problem. The Thick Level Set (TLS) model, which uses an approach mixing damage mechanics and explicit crack representation, provides an easy fracture initiation, a complex crack growing capability (coalescing or branching) and an accurate tortuous fracture path. In this thesis we will demonstrate that the implementation of this model in a parallel 3D context provides an accurate and versatile tool that potentially scales. Regarding the accuracy, a novel tool called the “double cut algorithm” has enhanced the existing TLS implementation by letting pass a straight fully damaged zone in a mesh element without conditions on its size. This tool also brings a way to optimize the discretization by coarsening the mesh in a crack front wake. This adaptation reduces the size of the discrete mechanical problem and therefore the effort for the linear algebra resolution. As far as the scaling is concerned, the bottleneck is the linear algebra resolution time and its associated memory consumption. The parallel solving strategy developed in this thesis to tackle this problem starts first with a basic approach. Then by switching to a method close to domain decomposition and later to a two-scale method, it permits increasing scalability. The other TLS tasks are also partially parallelized. The principal concern is to obtain a tool that either runs faster or can treat a more significant problem if we provide much more computational units. Finally, some test cases illustrate the obtained results with a parallel 3D implementation.
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Submitted on : Monday, October 26, 2020 - 1:01:19 AM
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Alexis Salzman. Thick Level Set model implementation in 3D parallel context. Mechanics of the solides [physics.class-ph]. École centrale de Nantes, 2019. English. ⟨NNT : 2019ECDN0042⟩. ⟨tel-02977759⟩

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