On the continuum modeling of materials with kinematic structure

DOI10.1007/BF01176945zbMath1007.74019MaRDI QIDQ5956705

Bob Svendsen

Publication date: 27 March 2003

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

kinematicsbalance relationsEuclidean frame-indifferencetotal energy balanceadditional degrees of freedomfibre bundle representationkinematic spacerigid-body-like structuresplit of momentum balancestructured continuum

Mathematics Subject Classification ID

Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

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Thermodynamic and rate variational formulation of models for inhomogeneous gradient materials with microstructure and application to phase field modeling ⋮ Voigt and Poincaré's mechanistic-energetic approaches to linear elasticity and suggestions for multiscale modelling ⋮ Variational formulation of pre-stressed solid-fluid mixture theory, with an application to wave phenomena ⋮ Genesis of the multiscale approach for materials with microstructure ⋮ Thermodynamics of polycrystalline materials treated by the theory of mixtures with continuous diversity ⋮ On thermodynamic- and variational-based formulations of models for inelastic continua with internal lengthscales

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