Adaptive Numerical Simulation of Dynamic Contact Problems
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We present a new approach for the space-time adaptive solution of dynamic contact problems. By combining ideas from the recently introduced residual-type a posteriori error estimator for static contact problems (Krause et al., An efficient and reliable residual-type a posteriori error estimator for the Signorini problem. Numer. Math. (2014), DOI: 10.1007/s00211-014-0655-8) and the novel discretization scheme with local impact detection (Krause and Walloth, A family of space-time connecting discretization schemes with local impact detection for elastodynamic contact problems. Comput. Methods Appl. Mech. Eng. 200:3425–3438, 2011), a discretization method is constructed which is able to detect and resolve local nonsmooth effects at the contact boundary in space and time. Numerical results in 3D illustrate our theoretical findings.
KeywordsVariational Inequality Contact Problem Contact Stress Dynamic Contact Contact Boundary
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