Scattering of SH-waves by a Griffith crack in a long strip at asymmetric position.
Second order linear Volterra integrodifferential equations.
Small vertical vibrations of strings with moving ends.
In this work we investigate a mathematical model for small vertical vibrations of a stretched string when the ends vary with the time t and the cross sections of the string is variable and the density of the material is also variable, that is, p=p(x). It contains Kirchhoff model for fixed ends. We obtain solutions by Galerkin method and estimates in Sobolev spaces.
Solution of Signorini's contact problem in the deformation theory of plasticity by secant modules method
A problem of unilateral contact between an elasto-plastic body and a rigid frictionless foundation is solved within the range of the so called deformation theory of plasticity. The weak solution is defined by means of a variational inequality. Then the so called secant module (Kačanov's) iterative method is introduced, each step of which corresponds to a Signorini's problem of elastoplastics. The convergence of the method is proved on an abstract level.
Solution of the basic boundary value problems of stationary thermoelastic oscillations for domains bounded by spherical surfaces.
Solution of the first problem of plane elasticity for multiply connected regions by the method of least squares on the boundary. II
Solution of the first problem of plane elasticity for multiply connected regions by the method of least squares on the boundary. I
Solutions to Lyapunov stability problems: Nonlinear systems with continuous motions.
Solvability for a nonlinear coupled system of Kirchhoff type for the beam equations with nonlocal boundary conditions.
Solvability of a dynamic rational contact with limited interpenetration for viscoelastic plates
Solvability of the rational contact with limited interpenetration of different kind of viscolastic plates is proved. The biharmonic plates, von Kármán plates, Reissner-Mindlin plates, and full von Kármán systems are treated. The viscoelasticity can have the classical (``short memory'') form or the form of a certain singular memory. For all models some convergence of the solutions to the solutions of the Signorini contact is proved provided the thickness of the interpenetration tends to zero.
Some dynamic problems of the theory of electroelasticity.
Some energy conservative schemes for vibro-impacts of a beam on rigid obstacles*
Caused by the problem of unilateral contact during vibrations of satellite solar arrays, the aim of this paper is to better understand such a phenomenon. Therefore, it is studied here a simplified model composed by a beam moving between rigid obstacles. Our purpose is to describe and compare some families of fully discretized approximations and their properties, in the case of non-penetration Signorini's conditions. For this, starting from the works of Dumont and Paoli, we adapt to our beam...
Some energy conservative schemes for vibro-impacts of a beam on rigid obstacles*
Caused by the problem of unilateral contact during vibrations of satellite solar arrays, the aim of this paper is to better understand such a phenomenon. Therefore, it is studied here a simplified model composed by a beam moving between rigid obstacles. Our purpose is to describe and compare some families of fully discretized approximations and their properties, in the case of non-penetration Signorini's conditions. For this, starting from the works of Dumont and Paoli, we adapt to our beam...
Some equilibrium and mixed models in the finite element method
Some remarks on growth and uniqueness in thermoelasticity.
Spatial behaviour for the harmonic vibrations in plates of Kirchhoff type.
Spatial discretization of an implusive Cohen-Grossberg neural network with time-varying and distributed delays and reaction-diffusion terms.
Special issue: Nonlinear dynamics and their applications to engineering sciences. Selected papers based on the presentations at the conference on nonlinear dynamics (ND-KPI 2004), Kharkow, Ukraine, September 14--16, 2004.
Spectral perturbations in linear viscoelasticity of the Boltzmann type
Spectral properties of a type of integro-differential stiff problems