On Reissner's variational theorem for boundary values in linear elasticity
On semiconvexity properties of rotationally invariant functions in two dimensions
Let be a function defined on the set of all by matrices that is invariant with respect to left and right multiplications of its argument by proper orthogonal matrices. The function can be represented as a function of the signed singular values of its matrix argument. The paper expresses the ordinary convexity, polyconvexity, and rank 1 convexity of in terms of its representation
On singular perturbation of the Stokes problem
On some contact problems for bodies with elastic inclusions.
On some mathematical models in nonlinear elasticity
On some non-local problems of the theory of elasticity.
On stability and growth of solutions for classes of initial and boundary value problems
On the analysis of elastic layers by a Fourier series, Green's function approach
The plane strain elastic analysis of a homogeneous and isotropic layer of constant thickness, is formulated using Fourier series expansions in the direction parallel to the layer and suitable Green's functions in the transversal direction. For each frequency the unknown distributions of the Fourier coefficients relevant to the symmetric or skew-symmetric problems are governed by one-dimensional equations which can be solved exactly. The proposed method is used to critically discuss the "transfer"...
On the asymptotics of the spectrum of a thin plate problem of elasticity.
On the Cauchy Problem in Nonlinear 3-d-Thermoelasticity.
On the Construction of Optimal Mixed Finite Element Methods for the Linear Elasticity Problem.
On the Convergence of a Mixed Finite-Element Method for Plate Bending Problems.
On the domain of influence in thermoelasticity of bodies with voids
The domain of influence, proposed by Cowin and Nunziato, is extended to cover the thermoelasticity of bodies with voids. We prove that for a finite time the displacement field , the temperature and the change in volume fraction generate no disturbance outside a bounded domain .
On the finiteness of the energy integral in elastostatics with non absolutely continuous data
In this paper the main problem of classical elastostatics with non absolutely continuous data is considered. Necessary and sufficient conditions under which the energy integral is finite are given.
On the maximum principle in the linear-elasticity theory
On the nonlinear behaviour of bimodular multilayer ed plates.
In an earlier study [16] the nonlinear behaviour of unimodular laminated plates was studied. This paper, following the previous study, concerns a large deflection analysis of moderately thick rectangular plates having arbitrary boundary conditions and finite thickness shear moduli. The plates are manufactured in bimodular materials and constructed in a cross-ply fashion or in a single layer with arbitrary fibre direction angle. Numerical results are obtained by a finite element technique in which...
On the nonlinear mechanical response of an arterial wall.
On the numerical modeling of deformations of pressurized martensitic thin films
We propose, analyze, and compare several numerical methods for the computation of the deformation of a pressurized martensitic thin film. Numerical results have been obtained for the hysteresis of the deformation as the film transforms reversibly from austenite to martensite.
On the Numerical Modeling of Deformations of Pressurized Martensitic Thin Films
We propose, analyze, and compare several numerical methods for the computation of the deformation of a pressurized martensitic thin film. Numerical results have been obtained for the hysteresis of the deformation as the film transforms reversibly from austenite to martensite.
On the optimal control problem governed by the equations of von Kármán. II. Mixed boundary conditions
A control of the system of Kármán's equations for a thin elastic plate is considered. Existence of an optimal transversal load and optimal stress function, respectively, is proven. The set of admissible functions is chosen in a way guaranteeing the unique solvability of the state problem. The differentiability of the state function with respect to the control variable, uniqueness of the optimal control and some necessary conditions of optimality are discussed.