Eigendamage: An Eigendeformation Model for the Variational Approximation of Cohesive Fracture

Augsburger Schriften zur Mathematik, Physik und Informatik , Bd. 36

Veronika Auer-Volkmann

ISBN 978-3-8325-4969-5
151 pages, year of publication: 2019
price: 39.00 €
In this book, a novel approximation scheme for the variational theory of cohesive fracture is presented. The energy functionals that are considered in this scheme depend on a small parameter and two fields: the displacement field and an eigendeformation field, where the latter one describes the permanent deformations that may occur in the body. The asymptotic behavior of these energy functionals is investigated in the case of antiplane shear. Our analysis, in particular, shows that the minimal energies with respect to the eigendeformation field are related to a cohesive energy functional in the sense of Γ-convergence.

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  • cohesive fracture
  • eigendeformation
  • Gamma-convergence
  • non-local approximation
  • two-field approximation


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