On the Construction of Optimal Mixed Finite Element Methods for the Linear Elasticity Problem.
On the control of stability in nonlinear mechanics
On the controllability of a slowly rotating Timoshenko beam.
On the convergence of a mixed finite element method for Reissner-Mindlin plates
On the Convergence of a Mixed Finite-Element Method for Plate Bending Problems.
On the Determination of Higher Order Terms of Singular Elastic Stress Fields Near Corners.
On the domain of applicability of the Mori-Tanaka effective medium theory
The Mori-Tanaka effective stiffness tensor is shown to be asymmetric in general. This tensor is proven to be symmetric for composites with isotropic inclusions, or with spherical reinforcements. Symmetry is also proven for the case of unidirectional fibers, of any shape and material. The Mori-Tanaka theory is shown to yield physically unacceptable predictions at the high concentration limit.
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 dynamical behaviour of plates in unilateral contact with an elastic foundation: a finite element approach.
In questo lavoro viene studiato il comportamento dinamico di una piastra vincolata monolateralmente su una fondazione elastica alla Winkler. Si presentano alcuni risultati numerici ottenuti mediante discretizzazione agli elementi finiti. Tali risultati mettono in luce l'influenza di alcuni fattori tipici come le funzioni di forma, il parametro di mesh e l'ampiezza dell'intervallo con cui si realizza l'integrazione nel tempo delle equazioni del moto. Si istituiscono infine dei confronti con risultati...
On the economical solution method for a system of linear algebraic equations.
On the edge singularities in composite media. Influence of anisotropy
On the Equivalence of the Riemann-Liouville and the Caputo Fractional Order Derivatives in Modeling of Linear Viscoelastic Materials
Mathematics Subject Classification: 26A33In the process of constructing empirical mathematical models of physical phenomena using the fractional calculus, investigators are usually faced with the choice of which definition of the fractional derivative to use, the Riemann-Liouville definition or the Caputo definition. This investigation presents the case that, with some minimal restrictions, the two definitions produce completely equivalent mathematical models of the linear viscoelastic phenomenon....
On the existence and regularity of solutions to the problem of transmission
On the existence and uniqueness of solution of the Cauchy problem for a class of linear integro-differential equations
On the existence of a weak solution of the boundary value problem for the equilibrium of a shallow shell reinforced with stiffening ribs
The existence and the unicity of a weak solution of the boundary value problem for a shallow shell reinforced with stiffening ribs is proved by the direct variational method. The boundary value problem is solved in the space , on which the corresponding bilinear form is coercive. A finite element method for numerical solution is introduced. The approximate solutions converge to a weak solution in the space .
On the existence of equations of evolution.
On the existence of equilibrium states of an elastic beam on a nonlinear foundation.
On the existence of infinitely many periodic solutions for an equation of a rectangular thin plate
On the existence of solutions of boundary-value problems for elastic-inelastic solids
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.