An Implicit Sweeping Process Approach to Quasistatic Evolution Variational Inequalities

  title={An Implicit Sweeping Process Approach to Quasistatic Evolution Variational Inequalities},
  author={Samir Adly and Tahar Haddad},
  journal={SIAM J. Math. Anal.},
  • S. Adly, T. Haddad
  • Published 1 February 2018
  • Mathematics, Computer Science
  • SIAM J. Math. Anal.
In this paper, we study a new variant of Moreau's sweeping process with velocity constraint. Based on an adapted version of Moreau's catching-up algorithm, we show the well-posedness (in the sense existence and uniqueness) of this problem in a general framework. We show the equivalence between this implicit sweeping process and a quasistatic evolution variational inequality. It is well known that the variational formulations of many mechanical problems with unilateral contact and friction lead… Expand
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