Contact problem of a rigid indentor in second order elasticity theory

1983 ◽  
Vol 34 (3) ◽  
pp. 370-386 ◽  
Author(s):  
G. C. W. Sabin ◽  
P. N. Kaloni
Keyword(s):  
Contact Problem ◽  
Elasticity Theory ◽  
Second Order ◽  
Rigid Indentor

Contact problem of a rigid indentor with rotational friction in second order elasticity

1989 ◽  
Vol 27 (3) ◽  
pp. 203-217 ◽  
Author(s):  
G.C.W. Sabin ◽  
P.N. Kaloni
Keyword(s):  
Contact Problem ◽  
Second Order ◽  
Rigid Indentor

Application of a solution for an elasticity theory contact problem to obtain precision joints in materials

1980 ◽  
Vol 12 (8) ◽  
pp. 1035-1038
Author(s):  
A. N. Kharitonova ◽  
A. V. Sergeev ◽  
N. F. Kazakov
Keyword(s):  
Contact Problem ◽  
Elasticity Theory

Higher-Order Multilevel Solvers for the EHL Line and Point Contact Problem

1994 ◽  
Vol 116 (4) ◽  
pp. 741-750 ◽  
Author(s):  
C. H. Venner
Keyword(s):  
Contact Problem ◽  
Computing Time ◽  
Point Contact ◽  
Higher Order ◽  
Second Order ◽  
Point Of View ◽  
First Order ◽  
Fundamental Point ◽  
Numerical Solver ◽  
Circular Contact

This paper addresses the development of efficient numerical solvers for EHL problems from a rather fundamental point of view. A work-accuracy exchange criterion is derived, that can be interpreted as setting a limit to the price paid in terms of computing time for a solution of a given accuracy. The criterion can serve as a guideline when reviewing or selecting a numerical solver and a discretization. Earlier developed multilevel solvers for the EHL line and circular contact problem are tested against this criterion. This test shows that, to satisfy the criterion a second-order accurate solver is needed for the point contact problem whereas the solver developed earlier used a first-order discretization. This situation arises more often in numerical analysis, i.e., a higher order discretization is desired when a lower order solver already exists. It is explained how in such a case the multigrid methodology provides an easy and straightforward way to obtain the desired higher order of approximation. This higher order is obtained at almost negligible extra work and without loss of stability. The approach was tested out by raising an existing first order multilevel solver for the EHL line contact problem to second order. Subsequently, it was used to obtain a second-order solver for the EHL circular contact problem. Results for both the line and circular contact problem are presented.

Contact Problem for Second Order Parabolic Systems in a Strip with a Nonsmooth Interface Curve

2021 ◽  
Vol 57 (4) ◽  
pp. 476-487
Author(s):  
S. I. Sakharov
Keyword(s):  
Contact Problem ◽  
Parabolic Systems ◽  
Second Order

Contact problem of elasticity theory for a half-strip

1968 ◽  
Vol 32 (4) ◽  
pp. 739-746
Author(s):  
V.V. Kopasenko
Keyword(s):  
Contact Problem ◽  
Elasticity Theory ◽  
Half Strip

The contact problem of elasticity theory for bodies with cracks

1986 ◽  
Vol 50 (6) ◽  
pp. 789-799 ◽  
Author(s):  
I.I. Kudish
Keyword(s):  
Contact Problem ◽  
Elasticity Theory

scholarly journals On one contact problem of plane elasticity theory with partially unknown boundary

PAMM ◽  
2015 ◽  
Vol 15 (1) ◽  
pp. 235-236
Author(s):  
Magda Tsintsadze ◽  
Nana Odishelidze
Keyword(s):  
Contact Problem ◽  
Elasticity Theory ◽  
Plane Elasticity ◽  
Unknown Boundary ◽  
Plane Elasticity Theory

A critical survey of methods of solving the contact problem of elasticity theory

1966 ◽  
Vol 2 (11) ◽  
pp. 36-46 ◽  
Author(s):  
M. S. Krolevets
Keyword(s):  
Contact Problem ◽  
Elasticity Theory ◽  
Critical Survey

Second-order elasticity theory: Explanation for the high poisson's ratio of the inner core

1980 ◽  
Vol 21 (4) ◽  
pp. 371-377 ◽  
Author(s):  
Anthony J. Falzone ◽  
Frank D. Stacey
Keyword(s):  
Elasticity Theory ◽  
Poisson’S Ratio ◽  
Inner Core ◽  
Second Order ◽  
Poisson's Ratio
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