A vanishing-inertia analysis for finite-dimensional rate-independent systems with nonautonomous dissipation and an application to soft crawlers. (English) Zbl 1471.74035
Summary: We study the approximation of finite-dimensional rate-independent quasistatic systems, via a vanishing-inertia asymptotic analysis of dynamic evolutions. We prove the uniform convergence of dynamic solutions to a rate-independent one, employing the variational concept of energetic solution. Motivated by applications in soft locomotion, we allow time-dependence of the dissipation potential, and translation invariance of the potential energy.
MSC:
| 74H99 | Dynamical problems in solid mechanics |
| 74L15 | Biomechanical solid mechanics |
| 74P99 | Optimization problems in solid mechanics |
| 74S99 | Numerical and other methods in solid mechanics |
| 68T05 | Learning and adaptive systems in artificial intelligence |
| 92C10 | Biomechanics |
| 70E60 | Robot dynamics and control of rigid bodies |
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