Second-invariant-preserving Remap of the 2D Deviatoric Stress Tensor in ALE Methods

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F19%3A00321852" target="_blank" >RIV/68407700:21340/19:00321852 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.camwa.2018.06.012" target="_blank" >https://doi.org/10.1016/j.camwa.2018.06.012</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.camwa.2018.06.012" target="_blank" >10.1016/j.camwa.2018.06.012</a>

Result language
angličtina
Original language name
Second-invariant-preserving Remap of the 2D Deviatoric Stress Tensor in ALE Methods
Original language description
For numerical simulations of impact problems or fluid-solid interactions, the ALE (Arbitrary Lagrangian-Eulerian) approach is a useful tool due to its ability to keep the computational mesh smooth and moving with the fluid. The elastic-plastic extension of the compressible fluid model requires tensor variables for the description of non-volumetric (deviatoric) mechanical stress. While Lagrangian numerical schemes based on the evolution equation of the stress tensor are well developed, tensor remap is still a relatively unexplored territory. We propose a new approach to deviatoric stress remapping, where the second invariant J2 (a conservative scalar quantity related to the strain energy) is remapped independently of the tensor components. These are re-scaled to match the remapped invariant value, effectively using only the principal directions and eigenvalue ratio from the component-wise remap. This approach is frame invariant, preserves J2 invariant bounds and conserves the total invariant. We compare our method with component-based remapping using a simple synchronized limiter or a specialized stress tensor limiter described in the literature.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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