An extended tube model for thermo viscoelasticity of rubberlike materials Parameter identification and examples

Date

2011-04-21

Author

BEHNKE, Ronny
Dal, Hüsnü
Kaliske, Michael

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The extended tube-model was presented by KALISKE & HEINRICH (RCT 72, 602-632) in 1999 as a novel approach for isothermal hyperelasticity of rubberlike materials. This contribution is dedicated to its further development to finite non-linear thermo-viscoelasticity. A non-linear evolution law and a thermo-mechanical coupled free energy formulation are the kernel of the phenomenological approach where the elastic material response is inspired by statistical-mechanical theory. The representation of viscoelasticity is based on a multiplicative decomposition of the deformation gradient. The Helmholtz free energy of the material is formulated in terms of isothermal free energy functions multiplicatively coupled with non-linear temperature evolution functions. The non-linear evolution law for the viscous material branch is solved by applying a predictor-corrector algorithm with an exponential mapping scheme. In today's literature, several sophisticated thermo-mechanical material models are available. However, they are built upon a considerable number of material parameters governing the mechanical and thermal material response which need to be identified for practical application. Therefore, particular emphasis is given to an appropriate parameter identification technique for the thermal field. For the latter, a uniaxial extension test is carried out where the recorded data of the temperature field of the rubber specimen under cyclic loading is used for parameter identification.

URI

https://hdl.handle.net/11511/46167

DOI

https://doi.org/10.1002/pamm.201110168

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Department of Mechanical Engineering, Conference / Seminar

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An extended tube model for thermo viscoelasticity of rubberlike materials Theory and numerical implementation Behnke, Ronny; Dal, Hüsnü; Kaliske, Michael (2011-09-23) This contribution is devoted to the further development of the original purely hyperelastic extended tube model, presented by Kaliske & Heinrich (1999), to finite nonlinear thermo-viscoelasticity using a nonlinear evolution law and a thermo-mechanical coupled free energy formulation. Particular emphasis is given to an appropriate parameter identification technique for the thermal field. For the latter, a uniaxial extension test is carried out where the recorded data of the temperature field of the rubber sp...
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Citation Formats

R. BEHNKE, H. Dal, and M. Kaliske, “An extended tube model for thermo viscoelasticity of rubberlike materials Parameter identification and examples,” 2011, vol. 11, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46167.