Geodesic
A weak formulation for a rate-independent delamination evolution with inertial and viscosity effects subjected to unilateral constraint
Riccardo Scala1
1Universidade de Lisboa, Portugal
Interfaces and free boundaries, Tome 19 (2017) no. 1, pp. 79-107

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DOI

We consider a system of two viscoelastic bodies attached on one side by an adhesive where a delamination process occurs. We study the dynamic of the system for small strains, subjected to external forces, suitable boundary conditions, and an unilateral constraint on the jump of the displacement at the interface between the bodies. The constraint arises in a graph inclusion, while the delamination coefficient evolves in a rate-independent way. We prove the existence of a weak solution to the corresponding system of PDEs.
DOI : 10.4171/ifb/377
Classification : 35-XX, 47-XX, 74-XX
Mots-clés : Second order parabolic equation, viscoelasticity, energetic formulation, delamination, adhesion, rate-independent system, unilateral constraint

Riccardo Scala  1

1 Universidade de Lisboa, Portugal 
Riccardo Scala. A weak formulation for a rate-independent delamination evolution with inertial and viscosity effects subjected to unilateral constraint. Interfaces and free boundaries, Tome 19 (2017) no. 1, pp. 79-107. doi: 10.4171/ifb/377
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     title = {A weak formulation for a rate-independent delamination evolution with inertial and viscosity effects subjected to unilateral constraint},
     journal = {Interfaces and free boundaries},
     pages = {79--107},
     year = {2017},
     volume = {19},
     number = {1},
     doi = {10.4171/ifb/377},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/377/}
}
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