Intrinsic incremental evolution of hypoelastic discrete mechanical systems

DOI10.1002/zamm.202300078OpenAlexW4379379948MaRDI QIDQ6148849

Félix Darve, Jean Lerbet, Noël Challamel, François Nicot

Publication date: 8 February 2024

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.202300078

zbMATH Keywords

cotangent bundletangent stiffness matrixEhresmann connectioncoordinate-free formulationhypoelastic four-grain granular system

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Granularity (74E20) Applications of differential geometry to physics (53Z05)

Cites Work

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• Geometric degree of nonconservativity: set of solutions for the linear case and extension to the differentiable non-linear case
• Conspectus of concepts of elasticity
• Double vector bundles and duality
• Geometric continuum mechanics
• Coordinate free nonlinear incremental discrete mechanics

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