Eigendamage: an Eigendeformation Model for the Variational Approximation of Cohesive Fracture An Eigendeformation Model for the Variational Approximation of Cohesive Fracture |
|
| Author:
| Auer-Volkmann, Veronika |
| Series title: | Augsburger Schriften Zur Mathematik, Physik und Informatik Ser. |
| ISBN: | 978-3-8325-4969-5 |
| Publication Date: | Aug 2019 |
| Publisher: | Logos Verlag Berlin
|
| Book Format: | Paperback |
| List Price: | USD $59.00 |
Book Description:
|
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...
More DescriptionIn 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 Gamma-convergence.