scholarly journals Adhesive contact of elastic solids with stohastic roughness

2020 ◽  
pp. 53-56
Author(s):  
I. Valeeva
Keyword(s):  
Adhesion Force ◽  
Boundary Integral Equations ◽  
Contact Region ◽  
Adhesive Contact ◽  
Contact Stresses ◽  
Boundary Integral ◽  
Elastic Solids ◽  
Elastic Bodies ◽  
Adhesion Contact ◽  
Force Calculation

Model of normal adhesive contact between elastic bodies with stochastic surface roughness is under consideration. Roughness is simulated by Winkler-Fuss nonlinear layer, which can resist to compressive and tensile (in the case of adhesion) contact stresses. Mechanical properties of the layer are determined by statistical theories of adhesive contact between nominally flat rough surfaces. The contact of solids is described by nonlinear boundary integral equations with non-monotonic operators. Their solutions determine reduction of effective thickness of rough layer, contact stresses, contact region, adhesion force. Formulas for adhesion force calculation are presented for the most frequent nominal gap between solids in contact for DMT–theory of contact.

The Mechanics of Adhesion: A Tutorial

2008 ◽  
Author(s):  
George G. Adams
Keyword(s):  
Contact Region ◽  
Adhesive Contact ◽  
Contact Model ◽  
Contact Theory ◽  
Asperity Contact ◽  
Spherical Contact ◽  
Elastic Bodies ◽  
Two Bodies

As the size of the contact region between two bodies decreases to the micro- and nano-scales, the effect of adhesion becomes increasingly important. In this tutorial, we review fundamental concepts of the mechanics of adhesion. Attention is placed on the contact of elastic bodies in which the shapes of the contacting bodies are locally spherical. We also discuss the use of spherical contact theory to model the adhesive contact of an asperity with a flat as part of a multi-asperity contact model.

scholarly journals Thermomechanical Slip in Elastic Contact Between Identical Materials

2021 ◽  
Vol 15 (4) ◽  
pp. 187-192
Author(s):  
Yurii Streliaiev ◽  
Rostyslav Martynyak ◽  
Kostyantyn Chumak
Keyword(s):  
Half Space ◽  
Contact Stress ◽  
Thermal Loading ◽  
Boundary Integral Equations ◽  
Contact Region ◽  
Elastic Half Space ◽  
Boundary Integral ◽  
Subsequent Stage ◽  
Relative Shear ◽  
Increasing Temperature

Abstract The contact problem for interaction between an elastic sphere and an elastic half-space is considered taking into account partial thermomechanical frictional slip induced by thermal expansion of the half-space. The elastic constants of the bodies are assumed to be identical. The Amontons–Coulomb law is used to account for friction. The problem is reduced to non-linear boundary integral equations that correspond to the initial stage of mechanical loading and the subsequent stage of thermal loading. The dependences of the contact stress distribution, relative displacements of the contacting surfaces, dimensions of the stick and slip zones on temperature of the half-space are studied numerically. It was revealed that an increase in temperature causes increases in the shear contact stress and the relative shear displacements of the contacting surfaces. The absolute values of the shear contact stress reach their maximum at the boundaries of the stick zones. The greatest value of the moduli of the relative shear displacements are reached at the boundary of the contact region. The stick zone radius decreases monotonically according to a nonlinear law with increasing temperature.

Integral Representations for the Solution of Dynamic Bending of a Plate with Displacement-Traction Boundary Data

2003 ◽  
Vol 10 (3) ◽  
pp. 467-480
Author(s):  
Igor Chudinovich ◽  
Christian Constanda
Keyword(s):  
Existence And Uniqueness ◽  
Boundary Data ◽  
Boundary Integral Equations ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Boundary Integral ◽  
Integral Representations ◽  
Transverse Shear Deformation ◽  
Uniqueness Of Solutions ◽  
Nonstationary Boundary

Abstract The existence of distributional solutions is investigated for the time-dependent bending of a plate with transverse shear deformation under mixed boundary conditions. The problem is then reduced to nonstationary boundary integral equations and the existence and uniqueness of solutions to the latter are studied in appropriate Sobolev spaces.

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