Fractional order models of viscoelastic polymeric solids undergoing large deformations
We present a fractional order model for nonlinear visco-hyperelastic solids taking into account large deformations. A three-field form of the Hu-Washizu principle is introduced to create a stable finite element method in the context of nearly incompressible dynamics. The β-method (a generalized mid...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Czech Technical University in Prague
2024-11-01
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| Series: | Acta Polytechnica CTU Proceedings |
| Subjects: | |
| Online Access: | https://ojs.cvut.cz/ojs/index.php/APP/article/view/10202 |
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| Summary: | We present a fractional order model for nonlinear visco-hyperelastic solids taking into account large deformations. A three-field form of the Hu-Washizu principle is introduced to create a stable finite element method in the context of nearly incompressible dynamics. The β-method (a generalized midpoint rule) for time discretization is implemented into a variational finite element framework for efficient computing of numerical approximations to the initial boundary-value problem for hyperbolic equation of motion. Finally, a 2-D cantilever beam problem with a step end load is considered in order to demonstrate the algorithm.
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| ISSN: | 2336-5382 |