Math. Model. Nat. Phenom.
Volume 15, 2020
Systems with Hysteresis and Switching
|Number of page(s)||18|
|Published online||10 April 2020|
One-period stability analysis of polygonal sweeping processes with application to an elastoplastic model
Department of Mathematical Sciences, University of Texas at Dallas,
2 Department of Mathematics, Voronezh State University, Voronezh, Russia.
* Corresponding author: email@example.com
Accepted: 25 June 2019
We offer a finite-time stability result for Moreau sweeping processes on the plane with periodically moving polyhedron. The result is used to establish the convergence of stress evolution of a simple network of elastoplastic springs to a unique cyclic response in just one cycle of the external displacement-controlled cyclic loading. The paper concludes with an example showing that smoothing the vertices of the polyhedron makes finite-time stability impossible.
Mathematics Subject Classification: 74C05 / 37J25
Key words: Moreau’s sweeping process / elastoplasticity / displacement-controlled loading / one-period stability
© The authors. Published by EDP Sciences, 2020
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