Quasistatic normal-compliance contact problem of visco-elastic bodies with Coulomb friction implemented by QP and SGBEM

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F17%3A00482044" target="_blank" >RIV/61388998:_____/17:00482044 - isvavai.cz</a>

Alternative codes found

RIV/00216208:11320/17:10367815

Result on the web

<a href="http://dx.doi.org/10.1016/j.cam.2016.10.010" target="_blank" >http://dx.doi.org/10.1016/j.cam.2016.10.010</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.cam.2016.10.010" target="_blank" >10.1016/j.cam.2016.10.010</a>

Result language

angličtina

Original language name

Quasistatic normal-compliance contact problem of visco-elastic bodies with Coulomb friction implemented by QP and SGBEM

Original language description

The quasistatic normal-compliance contact problem of isotropic homogeneous linear visco-elastic bodies with Coulomb friction at small strains in Kelvin-Voigt rheology is considered. The discretization is made by a semi-implicit formula in time and the Symmetric Galerkin Boundary Element Method (SGBEM) in space, assuming that the ratio of the viscosity and elasticity moduli is a given relaxation-time coefficient. The obtained recursive minimization problem, formulated only on the contact boundary, has a nonsmooth cost function. If the normal compliance responds linearly and the 2D problems are considered, then the cost function is piecewise-quadratic, which after a certain transformation gets the quadratic programming (QP) structure. However, it would lead to second-order cone programming in 3D problems. Finally, several computational tests are presented and analysed, with an additional discussion on numerical stability and convergence of the involved approximated Poincare-Steklov operators.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of Computational and Applied Mathematics

ISSN

0377-0427

e-ISSN

—

Volume of the periodical

315

Issue of the periodical within the volume

May

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

24

Pages from-to

249-272

UT code for WoS article

000392039300019

EID of the result in the Scopus database

2-s2.0-85002271158