The principle of virtual work and a symplectic reduction of non-local continuum mechanics

DOI10.1016/0034-4877(93)90071-LzbMath0797.58022OpenAlexW2094438004MaRDI QIDQ1322743

Günter Schwarz, Ernst Binz

Publication date: 11 October 1994

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(93)90071-l

zbMATH Keywords

continuum mechanicsstress tensorHamiltonian dynamicsspace of embeddingsFréchet manifoldMarsden- Weinstein reductiongroup of rigid translations

Mathematics Subject Classification ID

Spaces of embeddings and immersions (58D10) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items

The existence of a symmetric stress tensor in a non-local description of continuum mechanics ⋮ A kinematic model for continuous distributions of dislocations ⋮ A reappraisal of nonlocal mechanics

Cites Work

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• The method of virtual power in continuum mechanics: Application to coupled fields
• A symplectic framework for field theories
• The principle of virtual work and integral laws of motion
• On formulating and assessing continuum theories of electromagnetic fields in elastic materials
• Recent Advances in Rational Mechanics
• Differentiable manifolds and the principle of virtual work in continuum mechanics

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