Rate independent Kurzweil processes

@article{Krejc2009RateIK,
  title={Rate independent Kurzweil processes},
  author={P. Krejc{\'i} and M. Liero},
  journal={Applications of Mathematics},
  year={2009},
  volume={54},
  pages={117-145}
}
  • P. Krejcí, M. Liero
  • Published 2009
  • Mathematics
  • Applications of Mathematics
  • The Kurzweil integral technique is applied to a class of rate independent processes with convex energy and discontinuous inputs. We prove existence, uniqueness, and continuous data dependence of solutions in BV spaces. It is shown that in the context of elastoplasticity, the Kurzweil solutions coincide with natural limits of viscous regularizations when the viscosity coefficient tends to zero. The discontinuities produce an additional positive dissipation term, which is not homogeneous of… CONTINUE READING
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