Date
2023-10-04Subject
510 Mathematics 620 Engineering EmpfehlungImplementationStoffgesetzDeformationsverhaltenKlebstoffMetadata
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A material model for thick, rate-dependent adhesives with delocalized softening
Abstract
This contribution is dedicated to the development and implementation of a material model to describe the deformation behaviour of assembly adhesives. These assembly adhesives are usually used with thicknesses of several millimetres up to centimetres in order to compensate for large relative displacements of joining parts. These large displacements can be resisted by assembly adhesives, since they have a low shear modulus and thus a high strain until failur above their glass transition temperature. As a basis, the isothermal and isotropic hyperelasticity theory is used to describe the elastic deformation behaviour up to the postcritical range by using an isochoric–volumetric decomposition of the deformation gradient. The Arruda–Boyce and Ogden models are employed here for the isochoric-elastic and volumetric-elastic description. Themodelling of the rate-dependence concerning shear and bulk viscosity succeeds by extending the hyperelasticity theory to the theory of finite viscoelasticity with the generalized Maxwell model in each case. In order to model the postcritical deformation behaviour, an isotropic damage model is developed based on the energy limiting method and used to define an isochoric and a volumetric damage variable, so that the mapping of softening due to change of shape, as well as cavitation, succeeds. Furthermore, the damage variables are delocalized to prevent pathologicalmesh dependence by using the integral regularization method. Finally, the material parameters are determined and validated by means of measurement data due to tests at the assembly adhesive Betaforce 2850L. The results demonstrate a high prediction quality.
Citation
In: Proceedings in Applied Mathematics & Mechanics Volume 23 / Issue 3 (2023-10-04) eissn:1617-7061Sponsorship
Gefördert im Rahmen des Projekts DEALCitation
@article{doi:10.17170/kobra-202403089744,
author={Schumacher, Aaron and Matzenmiller, Anton},
title={A material model for thick, rate-dependent adhesives with delocalized softening},
journal={Proceedings in Applied Mathematics & Mechanics},
year={2023}
}
0500 Oax 0501 Text $btxt$2rdacontent 0502 Computermedien $bc$2rdacarrier 1100 2023$n2023 1500 1/eng 2050 ##0##http://hdl.handle.net/123456789/15543 3000 Schumacher, Aaron 3010 Matzenmiller, Anton 4000 A material model for thick, rate-dependent adhesives with delocalized softening / Schumacher, Aaron 4030 4060 Online-Ressource 4085 ##0##=u http://nbn-resolving.de/http://hdl.handle.net/123456789/15543=x R 4204 \$dAufsatz 4170 5550 {{Empfehlung}} 5550 {{Implementation}} 5550 {{Stoffgesetz}} 5550 {{Deformationsverhalten}} 5550 {{Klebstoff}} 7136 ##0##http://hdl.handle.net/123456789/15543
2024-03-08T12:36:42Z 2024-03-08T12:36:42Z 2023-10-04 doi:10.17170/kobra-202403089744 http://hdl.handle.net/123456789/15543 Gefördert im Rahmen des Projekts DEAL eng Namensnennung 4.0 International http://creativecommons.org/licenses/by/4.0/ 510 620 A material model for thick, rate-dependent adhesives with delocalized softening Aufsatz This contribution is dedicated to the development and implementation of a material model to describe the deformation behaviour of assembly adhesives. These assembly adhesives are usually used with thicknesses of several millimetres up to centimetres in order to compensate for large relative displacements of joining parts. These large displacements can be resisted by assembly adhesives, since they have a low shear modulus and thus a high strain until failur above their glass transition temperature. As a basis, the isothermal and isotropic hyperelasticity theory is used to describe the elastic deformation behaviour up to the postcritical range by using an isochoric–volumetric decomposition of the deformation gradient. The Arruda–Boyce and Ogden models are employed here for the isochoric-elastic and volumetric-elastic description. Themodelling of the rate-dependence concerning shear and bulk viscosity succeeds by extending the hyperelasticity theory to the theory of finite viscoelasticity with the generalized Maxwell model in each case. In order to model the postcritical deformation behaviour, an isotropic damage model is developed based on the energy limiting method and used to define an isochoric and a volumetric damage variable, so that the mapping of softening due to change of shape, as well as cavitation, succeeds. Furthermore, the damage variables are delocalized to prevent pathologicalmesh dependence by using the integral regularization method. Finally, the material parameters are determined and validated by means of measurement data due to tests at the assembly adhesive Betaforce 2850L. The results demonstrate a high prediction quality. open access Schumacher, Aaron Matzenmiller, Anton doi:10.1002/pamm.202300032 Empfehlung Implementation Stoffgesetz Deformationsverhalten Klebstoff publishedVersion eissn:1617-7061 Issue 3 Proceedings in Applied Mathematics & Mechanics Volume 23 false e202300032
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