Article
Licensed
Unlicensed
Requires Authentication
Damage as the Γ-limit of microfractures in linearized elasticity under the non-interpenetration constraint
-
Lucia Scardia
Published/Copyright:
October 20, 2010
Abstract
A homogenization result is given for a material with brittle periodic inclusions, under the requirement that the interpenetration of matter is forbidden. According to the ratio between the softness of the inclusions and the size of the microstucture, three different limit models are deduced via Γ-convergence. In particular it is shown that in the limit the non-interpenetration constraint breaks the symmetry between states where the material is in extension and in compression.
Keywords.: Brittle fracture; damage; non-interpenetration; homogenization; Γ-convergence; integral representation
Received: 2010-02-14
Revised: 2010-05-16
Published Online: 2010-10-20
Published in Print: 2010-October
© de Gruyter 2010
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Homogenization of fiber reinforced brittle materials: the intermediate case
- On the area of the graph of a singular map from the plane to the plane taking three values
- On the role of lower bounds in characterizations of weak lower semicontinuity of multiple integrals
- A curious equation involving the ∞-Laplacian
- Damage as the Γ-limit of microfractures in linearized elasticity under the non-interpenetration constraint
Keywords for this article
Brittle fracture;
damage;
non-interpenetration;
homogenization;
Γ-convergence;
integral representation
Articles in the same Issue
- Homogenization of fiber reinforced brittle materials: the intermediate case
- On the area of the graph of a singular map from the plane to the plane taking three values
- On the role of lower bounds in characterizations of weak lower semicontinuity of multiple integrals
- A curious equation involving the ∞-Laplacian
- Damage as the Γ-limit of microfractures in linearized elasticity under the non-interpenetration constraint
