Incompressibility in rod and shell theories
Incompressibility in Rod and Shell Theories
We treat the problem of constructing exact theories of rods and shells for thin incompressible bodies. We employ a systematic method that consists in imposing constraints to reduce the number of degrees of freedom of each cross section to a finite number. We show that it is very difficult to produce theories that exactly preserve the incompressibility and we show that it is impossible to do so for naive theories. In particular, many exact theories have nonlocal effects.
Incompressible limit behaviour of slightly compressible nonlinear elastic materials
Incremental methods in nonlinear, three-dimensional, incompressible elasticity
Indipendenza dal modulo di Poisson degli stati elastici di una piastra sottile
Per il problema elastostatico della piastra sottile inflessa con dati al bordo generalizzati, si determinano le condizioni di indipendenza parziale o totale dal modulo di Poisson dello stato elastico soluzione.
Inequalities of Korn's type, uniform with respect to a class of domains
Inequalities of Korn's type involve a positive constant, which depends on the domain, in general. A question arises, whether the constants possess a positive infimum, if a class of bounded two-dimensional domains with Lipschitz boundary is considered. The proof of a positive answer to this question is shown for several types of boundary conditions and for two classes of domains.
Inertial manifolds and stabilization of nonlinear beam equations with Balakrishnan-Taylor damping.
Influence of a boundary perforation on the Dirichlet energy
Influence of uncertainties on the dynamic buckling loads of structures liable to asymmetric postbuckling behavior.
Ingham type theorems and applications to control theory
Ingham [6] ha migliorato un risultato precedente di Wiener [23] sulle serie di Fourier non armoniche. Modificando la sua funzione di peso noi otteniamo risultati ottimali, migliorando precedenti teoremi di Kahane [9], Castro e Zuazua [3], Jaffard, Tucsnak e Zuazua [7] e di Ullrich [21]. Applichiamo poi questi risultati a problemi di osservabilità simultanea.
Ingham-type inequalities and Riesz bases of divided differences
We study linear combinations of exponentials e^{iλ_nt} , λ_n ∈ Λ in the case where the distance between some points λ_n tends to zero. We suppose that the sequence Λ is a finite union of uniformly discrete sequences. In (Avdonin and Ivanov, 2001), necessary and sufficient conditions were given for the family of divided differences of exponentials to form a Riesz basis in space L^2 (0,T). Here we prove that if the upper uniform density of Λ is less than T/(2π), the family of divided differences can...
Inhomogeneous boundary value problems for the von Kármán equations. II
Inhomogeneous boundary value problems for the von Kármán equations. I
Initial boundary value problem for a system in elastodynamics with viscosity.
Initial Dirichlet problem for half-plane diffraction: Global formulae for its generalized eigenfunctions, explicit solution by the Cagniard-de Hoop method.
Initial value problems in elasticity
Initial-boundary value problem in nonlinear hyperbolic thermoelasticity. Some applications in continuum mechanics [Book]
Injective weak solutions in second-gradient nonlinear elasticity
We consider a class of second-gradient elasticity models for which the internal potential energy is taken as the sum of a convex function of the second gradient of the deformation and a general function of the gradient. However, in consonance with classical nonlinear elasticity, the latter is assumed to grow unboundedly as the determinant of the gradient approaches zero. While the existence of a minimizer is routine, the existence of weak solutions is not, and we focus our efforts on that question...
Injective weak solutions in second-gradient nonlinear elasticity
We consider a class of second-gradient elasticity models for which the internal potential energy is taken as the sum of a convex function of the second gradient of the deformation and a general function of the gradient. However, in consonance with classical nonlinear elasticity, the latter is assumed to grow unboundedly as the determinant of the gradient approaches zero. While the existence of a minimizer is routine, the existence of weak solutions is not, and we focus our efforts on that question...
Instability critical loads of the fiber reinforced elastic composites.