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    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Eigendamage: An Eigendeformation Model for the Variational Approximation of Cohesive Fracture

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

Auer-Volkmann, Veronika

Paperback

Series: Augsburger Schriften Zur Mathematik, Physik Und Informatik, Book 36

General MathematicsPhysics

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ISBN10: 3832549692
ISBN13: 9783832549695
Publisher: Logos Verlag Berlin
Published: Aug 30 2019
Pages: 151
Language: English
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 Gamma-convergence.

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