Work

One-dimensional elastoplastic models with isotropic hardening as differential inclusions in primal form

Year: 2026

Type: article

Abstract: To improve the numerical simulation of rockfall protection barriers, this work addresses an extension of a one-dimensional model for elastoplasticity using a friction element and a spring in series, to include isotropic hardening and unilateral behavior. We reformulate the resulting system of differential inclusions in primal form and develop a timestepping scheme via an extended version of Moreau's midpoint rule. The scheme handles nonsmooth dynamics consistently, allowing to include frictional contact and impacts. The results provide a rigorous and implementable framework for simulating coupled elastoplastic frictional contact systems, contributing to the analysis and computation of nonsmooth rate-independent processes.

Source: Journal of Theoretical Computational and Applied Mechanics

DOI: 10.46298/jtcam.17355

Authors: Lisa Eberhardt, Jonas Breuling, Simon Eugster, Remco Leine

Institution: Eindhoven University of Technology

Language: English

Topic: Contact Mechanics and Variational Inequalities

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

Funder: WSL-Institut für Schnee- und Lawinenforschung SLF

OpenAlex ID: W7125358095

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