Justification de modèles de plaques non linéaires pour des lois de comportement générales
Justification d'un modèle linéaire bi-dimensionnel de coques «faiblement courbées» en coordonnées curvilignes
Justification of a construction of the solution of the problem on a point source of waves in a layered medium with vertical boundary.
Kačanov - Galerkin method and its application
Kam kráčí výpočtová mechanika?
Kelvin's solution and nuclei of strain in a solid mixture
Kinematic criteria of dynamic shakedown extended to nonassociative constitutive laws with saturation nonlinear hardening
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 definitions...
Kinetic and hydrodynamic equations for granular media
In this lecture i present some open mathematical problems concerning some PDE arising in the study of one-dimensional models for granular media.
Kirchhoff-Carrier elastic strings in noncylindrical domains.
Koiter shell governed by strongly monotone constitutive equations
In this paper we use the theory of monotone operators to generalize the linear shell model presented in (Blouza and Le Dret, 1999) to a class of physically nonlinear models. We present a family of nonlinear constitutive equations, for which we prove the existence and uniqueness of the solution of the presented nonlinear model, as well as the convergence of the Galerkin method. We also present the physical discussion of the model.
Korn's inequalities for junctions of elastic bodies with thin plates.
Korn's inequality for an arbitrary system of distorted thin rods.
Korn's inequality uniform with respect to a class of axisymmetric bodies
The Korn's inequality involves a positive constant, which depends on the domains, in general. We prove that the constants have a positive infimum, if a class of bounded axisymmetric domains and axisymmetric displacement fields are considered.
-approximation of Jacobians
The paper investigates the nonlinear function spaces introduced by Giaquinta, Modica and Souček. It is shown that a function from is approximated by functions strongly in whenever . An example is shown of a function which is in but not in .
--Time decay estimate for solution of the Cauchy problem for hyperbolic partial differential equations of linear thermoelasticity
We prove the --time decay estimates for the solution of the Cauchy problem for the hyperbolic system of partial differential equations of linear thermoelasticity. In our proof based on the matrix of fundamental solutions to the system we use Strauss-Klainerman’s approach [12], [5] to the --time decay estimates.
-resolvent estimates and time decay for generalized thermoelastic plate equations.
La méthode de Kikuchi appliquée aux équations de von Karman.
La scelta delle interazioni inerziali nei continui con microstruttura
Dedicando speciale attenzione all’esempio significativo dei cristalli liquidi di Ericksen [6], viene presentato un apparato assiomatico che consente di dedurre rappresentazioni coerenti delle interazioni d’inerzia e dell’energia cinetica per continui con microstruttura.
La trave in parete sottile a sezione aperta e variabile: formulazione teorica e risultati sperimentali
Theoretical and experimental results concerning the shear-center of a bent beam with variable section are carried out. The matrix methods of structural analysis for the static linear elastic problem is extended; the stiffness and load matrix are formulated starting from the sectorial areas theory in order to interpret the effect of non-uniform torsion. The formulation may be used through the general matrix displacement method of structural analysis.
La valutazione teorica di spostamenti e rotazioni in fase anelastica negli elementi monodimensionali in cemento armato
Si presenta una metodologia di calcolo per valutare lo stato deformativo, in termini di curvature, rotazioni e spostamenti, negli elementi monodimensionali in cemento armato soggetti a carichi monotoni in regime anelastico. In particolare si tiene conto dello scorrimento acciaio calcestruzzo, e della collaborazione offerta dal calcestruzzo teso fra due successive lesioni. Si presenta il sistema di equazioni non-lineari che regge il problema, con le relative condizioni al contorno, e si discute in...