Abstract
Preliminary results toward the analysis of the Hamiltonian structure of multifield theories describing complex materials are reported: we invoke the invariance under the action of a general Lie group of the balance of substructural interactions. Poisson brackets are also introduced in the material representation to account for general material substructures. A Hamilton-Jacobi equation suitable for multifield models is presented. Finally, a spatial version of all these topics is discussed without making use of the notion of paragon setting.
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Capriz, G., Mariano, P.M. Symmetries and Hamiltonian Formalism for Complex Materials. Journal of Elasticity 72, 57–70 (2003). https://doi.org/10.1023/B:ELAS.0000018775.44668.07
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DOI: https://doi.org/10.1023/B:ELAS.0000018775.44668.07