WIAS Preprint No. 2872, (2021)

GENERIC for dissipative solids with bulk-interface interaction



Authors

  • Heida, Martin
    ORCID: 0000-0002-7242-8175
  • Thomas, Marita
    ORCID: 0000-0001-9172-014X

2020 Mathematics Subject Classification

  • 74A15 74A45 74A50 74Dxx

Keywords

  • GENERIC, bulk-interface interaction, dissipative solids

DOI

10.20347/WIAS.PREPRINT.2872

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 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.

Appeared in

  • Research in the Mathematics of Materials Science, M.I. Espanõl, M. Lewicka, L. Scardia, A. Schlömkemper, eds., vol. 31 of Association for Women in Mathematics Series, Springer, Cham, 2022, pp. 333--364, DOI 10.1007/978-3-031-04496-0_15 .

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