Filters

20152

More filters

20192
Reset filters

Settings

End date: 2019 × Start date: 2014 × DDC: 510 × Subject: adhesion ×

Search Results

Now showing 1 - 2 of 2
  • Thumbnail Image
    Item
    A contact problem for viscoelastic bodies with inertial effects and unilateral boundary constraints
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2015) Scala, Riccardo; Schimperna, Giulio
    We consider a three-dimensional viscoelastic body subjected to external forces. Inertial effects are considered; hence the equation for the displacement field is of hyperbolic type. The equation is complemented with Dirichlet and Neuman conditions on a part the boundary, while on another part the body is in adhesive contact with a solid support. The boundary forces acting on the latter part due to the action of elastic stresses are responsible for delamination, i.e., progressive failure of adhesive bonds. This phenomenon is mathematically represented by a nonlinear ODE which describes the evolution of the delamination order parameter z. Following the lines of a new approach introduced by the authors in a preceding paper and based on duality methods in Sobolev-Bochner spaces, we define a suitable concept of weak solutions to the resulting PDE system. Correspondingly, we prove an existence result on finite time intervals of arbitrary length.
  • Thumbnail Image
    Item
    A weak formulation for a rate-independent delamination evolution with inertial and viscosity effects subjected to unilateral constraint
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2015) Scala, Riccardo
    We consider a system of two viscoelastic bodies attached on one edge by an adhesive where a delamination process occurs. We study the dynamic of the system 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.