On the Treatment of Contact Problems in Elasto-Plasticity

2000 ◽  
pp. 229-236 ◽  
Author(s):  
M. Bach ◽  
C. Eck ◽  
M. Schulz
Keyword(s):  
Contact Problems ◽  
Elasto Plasticity

An Element-Free Galerkin-Finite Element Coupling Method for Elasto-Plastic Contact Problems

2005 ◽  
Vol 128 (1) ◽  
pp. 1-9 ◽  
Author(s):  
Tianxiang Liu ◽  
Geng Liu ◽  
Q. Jane Wang
Keyword(s):  
Finite Element ◽  
Contact Problems ◽  
Elastic Cylinder ◽  
Coupling Method ◽  
Fe Method ◽  
Programming Technique ◽  
Galerkin Finite Element ◽  
Element Free Galerkin ◽  
Elasto Plasticity ◽  
Element Free

The element-free Galerkin-finite element (EFG-FE) coupling method, combined with the linear mathematical programming technique, is utilized to solve two-dimensional elasto-plastic contact problems. Two discretized models for an elastic cylinder contacting with a rigid plane are used to investigate the boundary effects in a contact problem when using the EFG-FE coupling method under symmetric conditions. The influences of the number of Gauss integration points and the size supporting the weight function in the meshless region on the contact pressure and stress distributions are studied and discussed by comparing the numerical results with the theoretical ones. Furthermore, the elasto-plastic contact problems of a smooth cylinder with a plane and a rough surface with a plane are analyzed by means of the EFG-FE method and different elasto-plasticity models.

scholarly journals The Indentation Rolling Resistance in Belt Conveyors: A Model for the Viscoelastic Friction

Lubricants ◽  
2019 ◽  
Vol 7 (7) ◽  
pp. 58 ◽  
Author(s):  
Nicola Menga ◽  
Francesco Bottiglione ◽  
Giuseppe Carbone
Keyword(s):  
Contact Problem ◽  
Finite Thickness ◽  
Numerical Procedure ◽  
Contact Problems ◽  
Accurate Solution ◽  
Rolling Contact ◽  
Viscoelastic Layer ◽  
Force Coefficient ◽  
Belt Conveyors ◽  
Energy Dissipated

In this paper, we study the steady-state rolling contact of a linear viscoelastic layer of finite thickness and a rigid indenter made of a periodic array of equally spaced rigid cylinders. The viscoelastic contact model is derived by means of Green’s function approach, which allows solving the contact problem with the sliding velocity as a control parameter. The contact problem is solved by means of an accurate numerical procedure developed for general two-dimensional contact geometries. The effect of geometrical quantities (layer thickness, cylinders radii, and cylinders spacing), material properties (viscoelastic moduli, relaxation time) and operative conditions (load, velocity) are all investigated. Physical quantities typical of contact problems (contact areas, deformed profiles, etc.) are calculated and discussed. Special emphasis is dedicated to the viscoelastic friction force coefficient and to the energy dissipated per unit time. The discussion is focused on the role played by the deformation localized at the contact spots and the one in the bulk of the thin layer, due to layer bending. The model is proposed as an accurate solution for engineering applications such as belt conveyors, in which the energy dissipated on the rolling contact of idle rollers can, in some cases, be by far the most important contribution to their energy consumption.

Measurement of length-scale and solution of cantilever beam in couple stress elasto-plasticity

2009 ◽  
Vol 25 (3) ◽  
pp. 381-387 ◽  
Author(s):  
Bin Ji ◽  
Wanji Chen ◽  
Jie Zhao
Keyword(s):  
Cantilever Beam ◽  
Couple Stress ◽  
Length Scale ◽  
Elasto Plasticity

Two contact problems in anisotropic thermoelasticity

1976 ◽  
Vol 6 (2) ◽  
pp. 137-147 ◽  
Author(s):  
D. L. Clements ◽  
G. D. Toy
Keyword(s):  
Contact Problems
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