Propagation of Rayleigh-type waves in aeolotropic material with cubic symmetry
Rayleigh waves in a thermoelastic granular medium under initial stress.
Solute transport in porous media with equilibrium and non-equilibrium multiple-site adsorpition: Travelling weaves.
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...
Stability of a Finite Thermoelastic Deformation of a Fibre-Reinforced Massive Slab
Stoneley waves in a non-homogeneous orthotropic granular medium under the influence of gravity.
Study of a boundary layer problem in elastic composite materials
Sufficient conditions for the validity of the Cauchy-Born rule close to
The Cauchy–Born rule provides a crucial link between continuum theories of elasticity and the atomistic nature of matter. In its strongest form it says that application of affine displacement boundary conditions to a monatomic crystal will lead to an affine deformation of the whole crystal lattice. We give a general condition in arbitrary dimensions which ensures the validity of the Cauchy–Born rule for boundary deformations which are close to rigid motions. This generalizes results of Friesecke...
Sui teoremi di reciprocità dell'elasticità lineare classica in domini non limitati
We extend the well-known reciprocal theorems of linear elasticity to unbounded domains. The theorems do not require that the elastic body is isotropic and homogeneous.
Sur une méthode de calcul de structures soumises à des chargements cycliques : l'homogénéisation en temps
The basic mixed problem for an anisotropic elastic body.
The boundary behavior of a composite material
In this paper, we study how solutions to elliptic problems with periodically oscillating coefficients behave in the neighborhood of the boundary of a domain. We extend the results known for flat boundaries to domains with curved boundaries in the case of a layered medium. This is done by generalizing the notion of boundary layer and by defining boundary correctors which lead to an approximation of order in the energy norm.
The boundary behavior of a composite material
In this paper, we study how solutions to elliptic problems with periodically oscillating coefficients behave in the neighborhood of the boundary of a domain. We extend the results known for flat boundaries to domains with curved boundaries in the case of a layered medium. This is done by generalizing the notion of boundary layer and by defining boundary correctors which lead to an approximation of order ε in the energy norm.
The boundary-contact problem of elasticity for homogeneous anisotropic media with a contact on some part of the boundaries.
The method of phase integrals in a plane problem of elasticity for inhomogeneous bodies
The Numerical Computation of Compressed States of Nonlinearly Elastic Anisotropic Plates.
The role of symmetry and separation in surface evolution and curve shortening.
The warping, the torsion and the Neumann problems in a quasi-periodically perforated domain
Thin inclusions in linear elasticity: a variational approach.
Three-dimensional mathematical problems of thermoelasticity of anisotropic bodies. II.