Contact Problem for Coated Viscoelastic Tube and Rigid Inserts with Complex Profiles
نویسندگان
چکیده
The article describes the construction of a solution for problem interaction viscoelastic aging pipe with an internal thin elastic coating and several different rigid cylindrical inserts, assuming that profiles contacting surfaces are described by rapidly changing functions. method used makes it possible to construct takes into account both rheological properties complex bodies. Using this method, expressions obtained contact pressures in which features highlighted separate terms multipliers, allows real calculations be performed high accuracy even when holding small number members infinite series.
منابع مشابه
A Frictionless Contact Problem for Viscoelastic Materials
We consider a mathematical model which describes the contact between a deformable body and an obstacle, the so-called foundation. The body is assumed to have a viscoelastic behavior that we model with the KelvinVoigt constitutive law. The contact is frictionless and is modeled with the well-known Signorini condition in a form with a zero gap function. We present two alternative yet equivalent w...
متن کاملAn Electro-viscoelastic Contact Problem with Adhesion and Damage
We consider a quasistatic frictionless contact problem for an electro-viscoelastic body with damage. The contact is modelled with normal compliance. The adhesion of the contact surfaces is taken into account and modelled by a surface variable, the bonding field. We derive variational formulation for the model which is in the form of a system involving the displacement field, the electric potent...
متن کاملDynamic Contact Problem for Viscoelastic von Kármán-Donnell Shells
We deal with initial-boundary value problems describing vertical vibrations of viscoelastic von Kármán-Donnell shells with a rigid inner obstacle. The short memory (Kelvin-Voigt) material is considered. A weak formulation of the problem is in the form of the hyperbolic variational inequality. We solve the problem using the penalization method.
متن کاملA Quasistatic Contact Problem for Viscoelastic Materials with Slip-Dependent Friction and Time Delay
A mathematical model which describes an explicit time-dependent quasistatic frictional contact problem between a deformable body and a foundation is introduced and studied, in which the contact is bilateral, the friction is modeled with Tresca’s friction law with the friction bound depending on the total slip, and the behavior of the material is described with a viscoelastic constitutive law wi...
متن کاملAn Axisymmetric Contact Problem of a Thermoelastic Layer on a Rigid Circular Base
We study the thermoelastic deformation of an elastic layer. The upper surface of the medium is subjected to a uniform thermal field along a circular area while the layer is resting on a rigid smooth circular base. The doubly mixed boundary value problem is reduced to a pair of systems of dual integral equations. The both system of the heat conduction and the mechanical problems are calculated b...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advanced structured materials
سال: 2023
ISSN: ['1869-8433', '1869-8441']
DOI: https://doi.org/10.1007/978-3-031-18564-9_13