TITLE

Hamiltonian and Lagrangian theory of viscoelasticity

AUTHOR(S)
Hanyga, A.; Seredynska, M.
PUB. DATE
March 2008
SOURCE
Continuum Mechanics & Thermodynamics;Mar2008, Vol. 19 Issue 8, p475
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
The viscoelastic relaxation modulus is a positive-definite function of time. This property alone allows the definition of a conserved energy which is a positive-definite quadratic functional of the stress and strain fields. Using the conserved energy concept a Hamiltonian and a Lagrangian functional are constructed for dynamic viscoelasticity. The Hamiltonian represents an elastic medium interacting with a continuum of oscillators. By allowing for multiphase displacement and introducing memory effects in the kinetic terms of the equations of motion a Hamiltonian is constructed for the visco-poroelasticity.
ACCESSION #
31173336

 

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