An adaptive MsFEM for nonperiodic viscoelastic composites
Authors:
- Marek Klimczak,
- Witold Cecot
Abstract
We present a modification of the multiscale finite element method (MsFEM) for modeling of heterogeneous viscoelastic materials and an enhancement of this method by the adaptive generation of both meshes, ie, a macroscale coarse one and a microscale fine one. The fine mesh refinements are performed independently within coarse elements adjusting the microscale discretization to the microstructure, whereas the coarse mesh adaptation optimizes the macroscale approximation. Besides the coupling of the hp‐adaptive finite element method with the MsFEM we propose a modification of the MsFEM to accommodate for the analysis of transient nonlinear problems. We illustrate the efficiency and accuracy of the new approach for a number of benchmark examples, including the modeling of functionally graded material, and demonstrate the potential of our improvement for upscaling nonperiodic and nonlinear composites.
- Record ID
- CUTa9a63d1c23cb41b8b40e51dd729e4ce6
- Publication categories
- ;
- Author
- Journal series
- International Journal for Numerical Methods in Engineering, ISSN 0029-5981, e-ISSN 1097-0207
- Issue year
- 2018
- Vol
- 114
- No
- 8
- Pages
- 861-881
- Other elements of collation
- rys.; tab.; wykr.; Bibliografia (na s.) - 879-881; Bibliografia (liczba pozycji) - 53; Oznaczenie streszczenia - Summ.; Numeracja w czasopiśmie - Vol. 114, Iss. 8
- Keywords in English
- multiscale, adaptivity, viscoelasticity
- DOI
- DOI:10.1002/nme.5768 Opening in a new tab
- URL
- https://onlinelibrary.wiley.com/doi/full/10.1002/nme.5768 Opening in a new tab
- Language
- eng (en) English
- Score (nominal)
- 40
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUTa9a63d1c23cb41b8b40e51dd729e4ce6/
- URN
urn:pkr-prod:CUTa9a63d1c23cb41b8b40e51dd729e4ce6
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.