Stability of Quasi-Static Paths with Coulomb Friction: An In-Depth Study

Dec 15, 2025

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This article by Manuel D. P. Monteiro Marques and Michel Jean Fest examines the stability of quasi-static paths of a single particle subjected to Coulomb friction, incorporating aspects of non-smooth dynamics. Featured in "Fifty Years of Infinite Freedom in Mechanics," Section 4 delves into the theoretical underpinnings and practical implications of this stability analysis. Key subsections discuss the variation of derivatives and provide a detailed exploration of the stability criteria. This study is fundamental for understanding non-linear mechanical systems influenced by friction.

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Stability of Quasi-Static Paths with Coulomb Friction: An In-Depth Study

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Stability of quasi-static paths Manuel D. P. Monteiro Marques Departamento de Matemática and CMAF, Faculdade de Ciências da Universidade de Lisboa Michel Jean Fest Fifty Years of Infinite Freedom in Mechanics

The “third part” (Sect. 4) will deal with the study of the stability of quasi-static paths of a single particle with Coulomb friction, with some added non-smoothness. Before Sect. 2, a few comments...