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Boundary variational formulations and numerical solution techniques for unilateral contact problems

机译:单边接触问题的边界变分公式和数值求解技术

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In this paper the numerical solution of the elastic frictionless contact problem is obtained by means of boundary discretization techniques. Variational formulations in terms of boundary tractions are given in presence of both bilateral and unilateral constraints. The discretization of the boundary functional is examined from the point of view of the theory of approximation and it is proved that the coerciveness (but not the symmetry) of the continuum problem is preserved when standard B.E.Ms are employed. As a consequence, the contact problem can be cast as a L.C.P. having, as coefficient matrix, a generally non symmetric P matrix. A simple, but meaningful example is discussed in some detail.
机译:本文利用边界离散化技术得到了弹性无摩擦接触问题的数值解。在存在双边和单边约束的情况下给出了边界牵引力的变分公式。从近似理论的角度考察了边界泛函的离散化,证明了当采用标准 B.E.Ms 时,连续统问题的矫顽性(但不是对称性)得以保留。因此,接触问题可以转换为具有系数矩阵的 L.C.P.,作为系数矩阵,通常不对称的 P 矩阵。本文将详细讨论一个简单但有意义的示例。

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