Nonlinear and linearized models in thermoviscoelasticity (Q2112840)
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scientific article; zbMATH DE number 7641145
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonlinear and linearized models in thermoviscoelasticity |
scientific article; zbMATH DE number 7641145 |
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Nonlinear and linearized models in thermoviscoelasticity (English)
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12 January 2023
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The authors analyze a quasistatic nonlinear model in thermoviscoelasticity. The model is derived at a finite-strain setting in the Kelvin-Voigt rheology. The elastic and viscous stress tensors fulfill the principle of frame indifference under rotations. They construct weak solutions by means of a staggered in-time discretization. Furthermore, they focus on the case of deformations near the identity and small temperatures. A rigorous linearized thermoviscoelastic model is derived.
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finite-strain Kelvin-Voigt model
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well-definedness
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staggered time-discrete approximation
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weak solution
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Gagliardo-Nirenberg interpolation inequality
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