The paper deals with the numerical analysis and simulation of debonding membranes in the framework of quasistatic processes modeled by minimizing movements. Depending on parameters of the model, the “support” of the membrane is a quasi-open set (i.e. the membrane is debonded or glued) or a capacitary measure (i.e. fractions of glue remain active). Time discretization is associated to gradient methods based on shape (measure) derivative and genetic shape (measure) optimization.
1
Université Henri Poincaré, Vandoeuvre-lès-Nancy, France
2
Université de Metz, France
Ioana Durus; Anne Lux. Analysis and simulation of debonding membranes. Interfaces and free boundaries, Tome 13 (2011) no. 1, pp. 57-72. doi: 10.4171/ifb/248
@article{10_4171_ifb_248,
author = {Ioana Durus and Anne Lux},
title = {Analysis and simulation of debonding membranes},
journal = {Interfaces and free boundaries},
pages = {57--72},
year = {2011},
volume = {13},
number = {1},
doi = {10.4171/ifb/248},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/248/}
}
TY - JOUR
AU - Ioana Durus
AU - Anne Lux
TI - Analysis and simulation of debonding membranes
JO - Interfaces and free boundaries
PY - 2011
SP - 57
EP - 72
VL - 13
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.4171/ifb/248/
DO - 10.4171/ifb/248
ID - 10_4171_ifb_248
ER -
%0 Journal Article
%A Ioana Durus
%A Anne Lux
%T Analysis and simulation of debonding membranes
%J Interfaces and free boundaries
%D 2011
%P 57-72
%V 13
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4171/ifb/248/
%R 10.4171/ifb/248
%F 10_4171_ifb_248