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Gwinner, J.; Stephen, E. P.

A boundary element procedure for contact problems in plane linear elastostatics. (English) Zbl 0773.73096

RAIRO, Modélisation Math. Anal. Numér. 27, No. 4, 457-480 (1993).
Summary: We present a new solution procedure for contact problems in plane linear elastostatics via boundary integral variational inequalities having as unknowns the trace of the displacement field and its boundary traction. We admit the case of only traction-contact boundary conditions without prescribing the displacements along some part of the boundary of the elastically deformed body. Without imposing any regularity assumption we establish norm convergence of piecewise polynomial boundary element approximations for mechanically definite problems. In detail we investigate piecewise quadratic and piecewise cubic approximations to the displacement field which lead to nonconform approximation schemes.

Cited in 19 Documents

MSC:

74S15 Boundary element methods applied to problems in solid mechanics
74A55 Theories of friction (tribology)
74M15 Contact in solid mechanics
74B05 Classical linear elasticity

Keywords:

variational inequalities; displacement field; traction-contact boundary conditions; convergence; piecewise polynomial boundary element approximations; nonconform approximation schemes
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\textit{J. Gwinner} and \textit{E. P. Stephen}, RAIRO, Modélisation Math. Anal. Numér. 27, No. 4, 457--480 (1993; Zbl 0773.73096)
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References:

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