The Lu-Pister Multiplicative Decomposition Applied to Thermoelastic Geometrically-Exact Rods

Irschik, Alexander Humer and Hans

doi:10.32604/cmes.2021.017944

Computer Modeling in Engineering &Amp; Sciences

2021

DOI: 10.32604/cmes.2021.017944

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The Lu-Pister Multiplicative Decomposition Applied to Thermoelastic Geometrically-Exact Rods

Alexander Humer and Hans Irschik¹

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2024

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A numerical model for chemo-thermo-mechanical coupling at large strains with an application to thermoresponsive hydrogels

Brunner,

Seidlhofer,

Ulz

2024

Comput Mech

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The aim of this work is the derivation and examination of a material model, accounting for large elastic deformations, coupled with species diffusion and thermal effects. This chemo-thermo-mechanical material model shows three key aspects regarding its numerical formulation. Firstly, a multiplicative split of the deformation gradient into a mechanical, a swelling and a thermal part. Secondly, temperature-scaled gradients for a numerical design comprising symmetric tangents and, thirdly, dissipation potentials for the modelling of dissipative effects. Additionally, the derived general material model is specialised to thermoresponsive hydrogels to study its predictive capabilities for a relevant example material class. An appropriate finite element formulation is established and its implementation discussed. Numerical examples are investigated, including phase transition and stability phenomena, to verify the ability of the derived chemo-thermo-mechanical material model to predict relevant physical effects properly. We compare our results to established models in the literature and discuss emerging deviations.

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A numerical model for chemo-thermo-mechanical coupling at large strains with an application to thermoresponsive hydrogels

Brunner,

Seidlhofer,

Ulz

2024

Comput Mech

View full text Add to dashboard Cite

show abstract

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The Lu-Pister Multiplicative Decomposition Applied to Thermoelastic Geometrically-Exact Rods

Cited by 1 publication

References 34 publications

A numerical model for chemo-thermo-mechanical coupling at large strains with an application to thermoresponsive hydrogels

A numerical model for chemo-thermo-mechanical coupling at large strains with an application to thermoresponsive hydrogels

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