On internal constraints in continuum mechanics.
Rajagopal, K.R., Saccomandi, Giuseppe (2006)
Differential Equations & Nonlinear Mechanics
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Rajagopal, K.R., Saccomandi, Giuseppe (2006)
Differential Equations & Nonlinear Mechanics
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Alberto Corigliano, Giulio Maier, Slawomir Pycko (1995)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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The class of elastic-plastic material models considered allows for nonassociativity, nonlinear hardening and saturation in the sense that the static internal variables are constrained by a bounding surface described through convex bounding functions. With reference to finite element, generalized variables discretization in space, two dynamic shakedown criteria are established by a kinematic approach in Koiter's sense, based on weak constitutive restrictions and centered on two suitable...
Cleja-Ţigoiu, Sanda (2000)
Rendiconti del Seminario Matematico
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Kumbakonam R. Rajagopal (2003)
Applications of Mathematics
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In classical constitutive models such as the Navier-Stokes fluid model, and the Hookean or neo-Hookean solid models, the stress is given explicitly in terms of kinematical quantities. Models for viscoelastic and inelastic responses on the other hand are usually implicit relationships between the stress and the kinematical quantities. Another class of problems wherein it would be natural to develop implicit constitutive theories, though seldom resorted to, are models for bodies that are...
Franco Pastrone (1991)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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It is proved that, as in three-dimensional elasticity, Betti's theorem represents a criterion for the existence of a stored-energy function for a Cosserat elastic shell.