Cauchy and periodic unilateral problems for aging linear viscoelastic materials

Dynamic Contact Problems for Viscoelastic Materials

Situations of contact between deformable bodies are very common in industry and everyday life such as train wheels with the rails, a shoe with the floor, tectonic plates, the car’s braking system, etc. Because of the importance of the contact problems, a considerable effort has been made in the modeling and numerical simulations, and the engineering literature concerning this topic is rather ex...

Almost Periodic Solutions of First- and Second-Order Cauchy Problems

Almost periodicity of solutions of firstand second-order Cauchy problems on the real line is proved under the assumption that the imaginary (resp. real) spectrum of the underlying operator is countable. Related results have been obtained by Ruess Vu~ and Basit. Our proof uses a new idea. It is based on a factorisation method which also gives a short proof (of the vector-valued version) of Loomi...

The Symplectic Method in Polar Coordinates for Linear Viscoelastic Materials

In this study, the symplectic method is applied to a two-dimensional annular-sector viscoelastic domain under the polar coordinate system. By applying variable separation approach, all fundamental solutions are derived in analytical form. Furthermore, using the method of variable substitution, lateral conditions are transformed into finding a particular solution for the governing equations, and...

Evolution of Viscoelastic Contact Problems for Piezoelectric Materials with Adhesion

In this paper we consider a second order evolution inclusion with a coercive viscosity operator and a multivalued term of subdifferential form. The study is motivated by the dynamic problem of frictional contact between a viscoelastic piezoelectric deformable body and a foundation. The interaction between the body and the foundation is described, due to the skin effects, by a nonmonotone possib...

Invariant Sets for Nonlinear Evolution Equations, Cauchy Problems and Periodic Problems