The method of phase integrals in a plane problem of elasticity for inhomogeneous bodies
The null condition and global existence of nonlinear elsastic waves.
The Numerical Computation of Compressed States of Nonlinearly Elastic Anisotropic Plates.
The problem of dynamic cavitation in nonlinear elasticity
The notion of singular limiting induced from continuum solutions (slic-solutions) is applied to the problem of cavitation in nonlinear elasticity, in order to re-assess an example of non-uniqueness of entropic weak solutions (with polyconvex energy) due to a forming cavity.
The relaxation of the Signorini problem for polyconvex functionals with linear growth at infinity
The aim of this paper is to study the unilateral contact condition (Signorini problem) for polyconvex functionals with linear growth at infinity. We find the lower semicontinuous relaxation of the original functional (defined over a subset of the space of bounded variations BV(Ω)) and we prove the existence theorem. Moreover, we discuss the Winkler unilateral contact condition. As an application, we show a few examples of elastic-plastic potentials for finite displacements.
The second fundamental coupled problem of the theory of thermoelasticity for an infinite strip.
The shape of the free surface of a unilaterally supported elastic body
The solution of inverse nonlinear elasticity problems that arise when locating breast tumours.
The spectrum of the elasticity problem for a spiked body.
The structure theorem for the Eulerian derivative of shape functionals defined on domains with cracks.
The three-dimensional problem of statics of the elastic mixture theory with displacements given on the boundary.
Theoretical aspects and numerical computation of the time-harmonic Green's function for an isotropic elastic half-plane with an impedance boundary condition
This work presents an effective and accurate method for determining, from a theoretical and computational point of view, the time-harmonic Green's function of an isotropic elastic half-plane where an impedance boundary condition is considered. This method, based on the previous work done by Durán et al. (cf. [Numer. Math.107 (2007) 295–314; IMA J. Appl. Math.71 (2006) 853–876]) for the Helmholtz equation in a half-plane, combines appropriately analytical and numerical techniques, which has an important...
Thermal stresses in an initially stressed circular cylinder with a smooth rigid insulating cover on the curved surface
Thermoelastic equilibrium of bodies in generalized cylindrical coordinates.
Thermoelasticity without energy dissipation for initially stressed bodies.
Three-dimensional boundary value problems of elastothermodiffusion with mixed boundary conditions.
Time-dependent invariant regions for parabolic systems related to one- dimensional nonlinear elasticity
A parabolic system arisng as a viscosity regularization of the quasilinear one-dimensional telegraph equation is considered. The existence of - a priori estimates, independent of viscosity, is shown. The results are achieved by means of generalized invariant regions.
Torsional rigidity of circular sectors bars.
Towards a theory of second grade thermoelasticity.
Two-dimensional boundary value problems of statics of the theory of elastic mixtures.