Regularity of weak solutions to rate-independent systems in one-dimension

Abstract

We show that under some appropriate assumptions, every weak solution (e.g. energetic solution) to a given rate-independent system is of class SBV, or has finite jumps, or is even piecewise $C^1$. Our assumption is essentially imposed on the energy functional, but not convexity is required.

References in corpus (3)

• BV solutions and viscosity approximations of rate-independent systems
• An artificial viscosity approach to quasistatic crack growth
• Modeling solutions with jumps for rate-independent systems on metric spaces