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.
Symmetries and Hamiltonian formalism for complex materials / Gianfranco Capriz; Paolo Maria Mariano. - In: JOURNAL OF ELASTICITY. - ISSN 0374-3535. - STAMPA. - 72:(2003), pp. 57-70. [10.1023/B:ELAS.0000018775.44668.07]
Symmetries and Hamiltonian formalism for complex materials
Paolo Maria Mariano
2003
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.File | Dimensione | Formato | |
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