A characterization of families of function sets described by constraints on the gradient
A comparison of homogenization, Hashin-Shtrikman bounds and the Halpin-Tsai equations
In this paper we study a unidirectional and elastic fiber composite. We use the homogenization method to obtain numerical results of the plane strain bulk modulus and the transverse shear modulus. The results are compared with the Hashin-Shtrikman bounds and are found to be close to the lower bounds in both cases. This indicates that the lower bounds might be used as a first approximation of the plane strain bulk modulus and the transverse shear modulus. We also point out the connection with the...
A paradox in the theory of linear elasticity
Let us have the system of partial differential equations of the linear elasticity. We show that the solution of this system with a bounded boundary condition is not generally bounded (i.e., the displacement vector is not bounded). This example is a modification of that given by E. De Giorgi [1].
An approach through orthogonal projections to the study of inhomogeneous or random media with linear response
An inverse problem for biharmonic equation.
Contact problem for bonded nonhomogeneous materials under shear loading.
Convergence of convex-concave saddle functions : applications to convex programming and mechanics
Effective and homogenized coefficients
Étude de transmission à travers des inclusions minces faiblement conductrice de «codimension un» : homogénéisation et optimisation des structures
Exact relations for composites: Towards a complete solution.
Existence and uniqueness for wave propagation in inhomogeneous elastic solids
Fading memory effects in elastic-viscoelastic composites
Homogénéisation
Homogénéisation de frontières par épi-convergence en élasticité linéaire
Homogénéisation de structures minces en béton armé
Homogenization and effective properties of plates weakened by partially penetrating fissures : convergence and duality
Homogenization limits of diffusion equations in thin domains
Homogenization of almost periodic monotone operators
Homogenization of elliptic problems in a fiber reinforced structure. Non local effects
Homogenization of parabolic equations an alternative approach and some corrector-type results
We extend and complete some quite recent results by Nguetseng [Ngu1] and Allaire [All3] concerning two-scale convergence. In particular, a compactness result for a certain class of parameterdependent functions is proved and applied to perform an alternative homogenization procedure for linear parabolic equations with coefficients oscillating in both their space and time variables. For different speeds of oscillation in the time variable, this results in three cases. Further, we prove some corrector-type...