A self-adjoint variational principle for anisotropic viscoelastic Biot’s equations
2013 (English)In: International Journal of Engineering Science, ISSN 0020-7225, E-ISSN 1879-2197, Vol. 63, 71-83 p.Article in journal (Refereed) Published
A variational principle for anisotropic viscoelastic Biot’s equations of motion is presented. It is based upon an extended Hamilton’s principle, also valid for dissipative systems. Using this principle, a functional analogous to the Lagrangian is defined, starting from Biot’s variational formulation based on frame and fluid displacements. Then, a mixed displacement–pressure formulation is presented, which reduces the number of variables of response from six to four. The corresponding functional analogous to the Lagrangian is derived making full use of variational calculus. The derived functionals are self-adjoint and stationary for true motion.
Place, publisher, year, edition, pages
2013. Vol. 63, 71-83 p.
Porous materials, Biot’s equations, Variational principles, Dissipative systems
IdentifiersURN: urn:nbn:se:kth:diva-118435DOI: 10.1016/j.ijengsci.2012.06.019ISI: 000315363000008OAI: oai:DiVA.org:kth-118435DiVA: diva2:606069
FunderSwedish Research Council, 621-2005-5754EU, European Research Council, 218508
QC 201302182013-02-182013-02-182013-03-22Bibliographically approved