High-Fidelity Simulation of Brittle Fracture Problems with Universal Meshes

We describe our approach to simulating curvilinear brittle fractures in two-dimensions based on the use of Universal Meshes. A Universal Mesh is one that can be used to mesh a class of geometries by slightly perturbing some nodes in the mesh, and hence the name universal. In this way, as the crack e...

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Autor principal: Lew, Adrián
Formato: Objeto de conferencia Resumen
Lenguaje:Inglés
Publicado: 2017
Materias:
Ingeniería
Free-Boundary Problems
Thermal Fracture
Automatic Meshing
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/105514
https://cimec.org.ar/ojs/index.php/mc/article/view/5423
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SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-105514
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ingeniería
Free-Boundary Problems
Thermal Fracture
Automatic Meshing
spellingShingle Ingeniería
Free-Boundary Problems
Thermal Fracture
Automatic Meshing
Lew, Adrián
High-Fidelity Simulation of Brittle Fracture Problems with Universal Meshes
topic_facet Ingeniería
Free-Boundary Problems
Thermal Fracture
Automatic Meshing
description We describe our approach to simulating curvilinear brittle fractures in two-dimensions based on the use of Universal Meshes. A Universal Mesh is one that can be used to mesh a class of geometries by slightly perturbing some nodes in the mesh, and hence the name universal. In this way, as the crack evolves, the Universal Mesh is always deformed so as to exactly mesh the crack surface. The advantages of such an approach are: (a) no elements are cut by the crack, (b) new meshes are automatically obtained as the crack evolves, (c) the crack faces are exactly meshed with a conforming mesh at all times, and the quality of the surface mesh is guaranteed to be good, and (d) apart from duplicating degrees of freedom when the crack grows, the connectivity of the mesh and the sparsity of the associated stiffness matrix remains unaltered. In addition to the mesh, we are now able to compute stress intensity factors with any order of convergence, which gives us unprecedented accuracy in computing the crack evolution. As a result, we observe first order convergence of the crack path as well as the tangent to the crack path in a number of different examples. In the presentation I will succinctly introduce the highlights of each one of the methods that together allow us to compute accurate crack paths, and then discuss their application to the simulation of thermally induced fracture. Different parts of this work are co-authored with Maurizio Chiaramonte (Princeton), Leon Keer (Northwestern University), Ramsharan Rangarajan (Indian Institute of Science, Bangalore).
format Objeto de conferencia
Resumen
author Lew, Adrián
author_facet Lew, Adrián
author_sort Lew, Adrián
title High-Fidelity Simulation of Brittle Fracture Problems with Universal Meshes
title_short High-Fidelity Simulation of Brittle Fracture Problems with Universal Meshes
title_full High-Fidelity Simulation of Brittle Fracture Problems with Universal Meshes
title_fullStr High-Fidelity Simulation of Brittle Fracture Problems with Universal Meshes
title_full_unstemmed High-Fidelity Simulation of Brittle Fracture Problems with Universal Meshes
title_sort high-fidelity simulation of brittle fracture problems with universal meshes
publishDate 2017
url http://sedici.unlp.edu.ar/handle/10915/105514
https://cimec.org.ar/ojs/index.php/mc/article/view/5423
work_keys_str_mv AT lewadrian highfidelitysimulationofbrittlefractureproblemswithuniversalmeshes
bdutipo_str Repositorios
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