The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
We consider a quasistatic contact problem for an electro-viscoelastic body. The contact is frictional and bilateral with a moving rigid foundation which results in the wear of the contacting surface. The damage of the material caused by elastic deformation is taken into account, its evolution is described by an inclusion of parabolic type. We present a weak formulation for the model and establish existence and uniqueness results. The proofs are based on classical results for elliptic variational...
This paper is devoted to the introduction of a new variant of the extended
finite element method (Xfem) for the approximation of elastostatic fracture
problems. This variant consists in a reduced basis strategy for the definition
of the crack tip enrichment. It is particularly adapted when the asymptotic
crack-tip displacement is complex or even unknown. We give a mathematical result
of quasi-optimal a priori error estimate and some computational tests including
a comparison with some other strategies....
We investigate unilateral contact problems with cohesive forces, leading to
the constrained minimization of a possibly nonconvex functional. We
analyze the mathematical structure of the minimization problem.
The problem is reformulated in terms of a three-field augmented
Lagrangian, and sufficient conditions for the existence of a local
saddle-point are derived. Then, we derive and analyze mixed finite
element approximations to the stationarity conditions of the three-field
augmented Lagrangian....
Currently displaying 1 –
6 of
6