Some results in viscoelasticity theory via a simple perturbation argument
Some results on the well-posedness of an integro-differential Frémond model for shape memory alloys.
Some thoughts on the material mechanics of materials.
This paper outlines recent developments and prospects in the application of the continuum mechanics expressed intrinsically on the material manifold itself. This includes applications to materially inhomogeneous materials, physical effects which, in this vision, manifest themselves as quasi-inhomogeneities, and the notion of thermodynamical driving force of the dissipative progress of singular point sets on the material manifold with special emphasis on fracture, shock waves and phase-transition...
Some topics in spectral geometry
Sottopotenziali energia libera per l'isteresi meccanica
This paper deals with free-energy lower-potentials for some rate-independent one-dimensional models of isothermal finite elastoplasticity proposed in [1]. Extending the thermodynamic arguments of Coleman and Owen [3] to large deformations, the existence, non-uniqueness and regularity of free-energy as function of state are deduced rather than assumed. This approach, along with some optimal control techniques, enables us to construct maximum and minimum free-energy functions and a wide class of differentiable...
Space-time coordinate transformations in continuum mechanics invariable equations of thermomechanics
Space-time discontinuous Galerkin method for the solution of fluid-structure interaction
The paper is concerned with the application of the space-time discontinuous Galerkin method (STDGM) to the numerical solution of the interaction of a compressible flow and an elastic structure. The flow is described by the system of compressible Navier-Stokes equations written in the conservative form. They are coupled with the dynamic elasticity system of equations describing the deformation of the elastic body, induced by the aerodynamical force on the interface between the gas and the elastic...
Sparse Null Basis Computations in Structural Optimization.
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.
Spatial heterogeneity in 3D-2D dimensional reduction
A justification of heterogeneous membrane models as zero-thickness limits of a cylindral three-dimensional heterogeneous nonlinear hyperelastic body is proposed in the spirit of Le Dret (1995). Specific characterizations of the 2D elastic energy are produced. As a generalization of Bouchitté et al. (2002), the case where external loads induce a density of bending moment that produces a Cosserat vector field is also investigated. Throughout, the 3D-2D dimensional reduction is viewed as a problem...
Spatial heterogeneity in 3D-2D dimensional reduction
A justification of heterogeneous membrane models as zero-thickness limits of a cylindral three-dimensional heterogeneous nonlinear hyperelastic body is proposed in the spirit of Le Dret (1995). Specific characterizations of the 2D elastic energy are produced. As a generalization of Bouchitté et al. (2002), the case where external loads induce a density of bending moment that produces a Cosserat vector field is also investigated. Throughout, the 3D-2D dimensional reduction is viewed as a problem...
Special curved elements and theitr application [Abstract of thesis]
Special exact curved finite elements
Special exact curved finite elements useful for solving contact problems of the second order in domains boundaries of which consist of a finite number of circular ares and a finite number of line segments are introduced and the interpolation estimates are proved.
Special issue dedicated to professor K. R. Rajagopal
Special issue: Editorial [Czech and Slovak Twin Seminar in Applied Mathematics 2006]
Special issue: McNabb symposium. Ed. highlights of a 70th birthday tribute to Alex McNabb, Auckland, New Zealand, February 7--8, 2000. Part 2.
Special issue: McNabb symposium. Ed. highlights of a 70th birthday tribute to Alex McNabb, Auckland, New Zealand, February 7--8, 2000. Part 1.
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