A model for simulating the deterioration of structural-scale material responses of microheterogeneous solids

verfasst von
T. I. Zohdi, P. Wriggers
Abstract

In this paper, we develop a model to characterize the deterioration of mechanical responses of microheterogeneous solids due to progressive microstructural failure with increased loading. In the approach, the effects of microscopic failure, so-called "relaxation", are described by a variational boundary value problem with constraints on the microfields. The extent of the relaxation, which is induced by reducing the eigenvalues of the elasticity tensor at a point in the heterogeneous body, is dictated by the condition that the solution must satisfy the equations of equilibrium, and simultaneously the constraints at that point. Theoretical properties of the model are determined and a computational algorithm is developed to simulate the deterioration of the material microstructure. Numerical simulations involving the finite element method are given to illustrate various aspects of the model.

Organisationseinheit(en)
Institut für Baumechanik und Numerische Mechanik
Typ
Artikel
Journal
Computer Methods in Applied Mechanics and Engineering
Band
190
Seiten
2803-2823
Anzahl der Seiten
21
ISSN
0045-7825
Publikationsdatum
16.02.2001
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Numerische Mechanik, Werkstoffmechanik, Maschinenbau, Allgemeine Physik und Astronomie, Angewandte Informatik
Elektronische Version(en)
https://doi.org/10.1016/S0045-7825(00)00367-4 (Zugang: Unbekannt)
 

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