Dynamic contact of viscoelastic bodies with two obstacles: mathematical and numerical approaches

Electronic Journal of Differential Equations

关键词: Dynamic contact;    variational inequality;    signorini contact conditions;    complementarity conditions;    strong pointedness;    numerical scheme;   

DOI  :  

来源: DOAJ

【 摘 要 】

The motion of viscoelastic (Kelvin-Voigt model) bodiesbetween an upper and a lower obstacle is studied both mathematically andnumerically. The two obstacles are assumed to be stationary perfectrigid, therefore, Signorini contact conditions are imposed at eachobstacle, which can be interpreted as a couple of complementarityconditions (CCs). The convergence of numerical trajectories for generaldimensional problems is shown based on the box constrainedvariational inequality (VI) which is equivalent to the two CCs. Aone-dimensional example is provided. Unlike higher dimensional cases,different perspectives are used to prove the results of its existence.Numerical results are also presented and discussed, showing a typicalbehavior of the system

【 授权许可】

Unknown