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Volume 12, Issue 2
A Boundary Element Approximation of a Signorini Problem with Friction Obeying Coulomb Law

Huo-De Han

J. Comp. Math., 12 (1994), pp. 147-162.

Published online: 1994-12

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  • Abstract

In this work, a Signorini problem with Coulomb friction in two dimensional elasticity is considered. Based on a new representation of the derivative of the double-layer potential, the original problem is reduced to a system of variational inequalities on the boundary of the given domain. The existence and uniqueness of this system are established for a small frictional coefficient. The boundary element approximation of this system is presented and an error estimate is given.

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@Article{JCM-12-147, author = {Han , Huo-De}, title = {A Boundary Element Approximation of a Signorini Problem with Friction Obeying Coulomb Law}, journal = {Journal of Computational Mathematics}, year = {1994}, volume = {12}, number = {2}, pages = {147--162}, abstract = {

In this work, a Signorini problem with Coulomb friction in two dimensional elasticity is considered. Based on a new representation of the derivative of the double-layer potential, the original problem is reduced to a system of variational inequalities on the boundary of the given domain. The existence and uniqueness of this system are established for a small frictional coefficient. The boundary element approximation of this system is presented and an error estimate is given.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9286.html} }
TY - JOUR T1 - A Boundary Element Approximation of a Signorini Problem with Friction Obeying Coulomb Law AU - Han , Huo-De JO - Journal of Computational Mathematics VL - 2 SP - 147 EP - 162 PY - 1994 DA - 1994/12 SN - 12 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9286.html KW - AB -

In this work, a Signorini problem with Coulomb friction in two dimensional elasticity is considered. Based on a new representation of the derivative of the double-layer potential, the original problem is reduced to a system of variational inequalities on the boundary of the given domain. The existence and uniqueness of this system are established for a small frictional coefficient. The boundary element approximation of this system is presented and an error estimate is given.

Han , Huo-De. (1994). A Boundary Element Approximation of a Signorini Problem with Friction Obeying Coulomb Law. Journal of Computational Mathematics. 12 (2). 147-162. doi:
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