Noncanonical Poisson brackets for elastic and micromorphic solids
作者： Kuo-Ching Chen
DOI: 10.1016/J.IJSOLSTR.2007.05.005
关键词: Hamiltonian (quantum mechanics) 、 Cauchy distribution 、 Poisson bracket 、 Mathematics 、 Dirac delta function 、 Mathematical analysis 、 First class constraint 、 Finite strain theory 、 State variable 、 Continuum mechanics
摘要: This paper investigates the Lagrangian-to-Eulerian transformation approach to construction of noncanonical Poisson brackets for conservative part elastic solids and micromorphic solids. The Dirac delta function links Lagrangian canonical variables Eulerian state variables, producing from corresponding brackets. Specifying Hamiltonian functionals generates evolution equations these Different strain tensors, such as Green deformation tensor, Cauchy higher-order are appropriate in bracket formalism since they quantities composed gradient. also considers deformable directors comprise three density measures Furthermore, technique variable is discussed when a not conserved along with motion body.
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