The thermoelastic Hertz problem with pressure dependent contact resistance
نویسندگان
چکیده
منابع مشابه
Boundary Observability in the Quasi-Static Thermoelastic Contact Problem
Abstract We study the observability properties of a nonlinear parabolic system that models the temperature evolution of a thermoelastic rod that may come into contact with a rigid obstacle. Basically the system dynamics are described by a one-dimensional nonlocal partial differential equation of parabolic type with a nonlinear and nonlocal boundary condition. For a specified nonlocal observatio...
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 کاملModelling of Cylindrical Contact Theories of Hertz and JKR for the Manipulation of Biological Micro/Nanoparticles
This paper deals with the development and modeling of cylindrical contact theories and also the simulation of contact forces to be applied in the manipulation of various biological micro/nanoparticles by means of the AFM. First, the simulation of contact forces in four environments has been carried out, which are the most commonly used fluid in biomanipulation. Then, the spherical and cy...
متن کاملExistence of solutions to a dynamic contact problem for a thermoelastic von Kármán plate
We study a dynamic contact problem for a thermoelastic von Kármán plate vibrating against a rigid obstacle. Dynamics is described by a hyperbolic variational inequality for deflections. The plate is subjected to a perpendicular force and to a heat source. The parabolic equation for a thermal strain resultant contains the time derivative of the deflection. We formulate a weak solution of the sys...
متن کاملInteraction of thermal contact resistance and frictional heating in thermoelastic instability
Thermoelastic contact problems can posess non-unique and/or unstable steady-state solutions if there is frictional heating or if there is a pressure-dependent thermal contact resistance at the interface. These two effects have been extensively studied in isolation, but their possible interaction has never been investigated. In this paper, we consider an idealized problem in which a thermoelasti...
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: International Journal of Mechanical Sciences
سال: 1984
ISSN: 0020-7403
DOI: 10.1016/0020-7403(84)90009-2