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Research in Mathematics of Materials Science pp 333–364Cite as

GENERIC for Dissipative Solids with Bulk–Interface Interaction

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Part of the book series: Association for Women in Mathematics Series ((AWMS,volume 31))

Abstract

The modeling framework of GENERIC was originally introduced by Grmela and Öttinger for thermodynamically closed systems. It is phrased with the aid of the energy and entropy as driving functionals for reversible and dissipative processes and suitable geometric structures. Based on the definition of functional derivatives, we propose a GENERIC framework for systems with bulk–interface interaction and apply it to discuss the GENERIC structure of models for delamination processes.

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Acknowledgements

M.T. acknowledges the partial funding by the DFG through project C09 Dynamics of rock dehydration on multiple scales (project number 235221301) within CRC 1114 Scaling cascades in complex systems and project Nonlinear fracture dynamics: Modeling, Analysis, Approximation, and Applications (project number 441212523) within SPP 2256. M.H. acknowledges the funding by the DFG through SPP 2256 project HE 8716/1-1 Fractal and stochastic homogenization using variational techniques.

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Authors and Affiliations

  1. Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany

    Marita Thomas & Martin Heida

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  1. Marita Thomas
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  2. Martin Heida
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Correspondence to Marita Thomas .

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Editors and Affiliations

  1. School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ, USA

    Malena I. Español

  2. Mathematics Department, University of Pittsburgh, Pittsburgh, PA, USA

    Marta Lewicka

  3. Department of Mathematics, Heriot-Watt University, Edinburgh, UK

    Lucia Scardia

  4. Institute of Mathematics, Universität Würzburg, Würzburg, Germany

    Anja Schlömerkemper

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Thomas, M., Heida, M. (2022). GENERIC for Dissipative Solids with Bulk–Interface Interaction. In: Español, M.I., Lewicka, M., Scardia, L., Schlömerkemper, A. (eds) Research in Mathematics of Materials Science. Association for Women in Mathematics Series, vol 31. Springer, Cham. https://doi.org/10.1007/978-3-031-04496-0_15

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