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.
Three-dimensional mathematical problems of thermoelasticity of anisotropic bodies. I.
Time splitting for wave equations in random media
Numerical simulation of high frequency waves in highly heterogeneous media is a challenging problem. Resolving the fine structure of the wave field typically requires extremely small time steps and spatial meshes. We show that capturing macroscopic quantities of the wave field, such as the wave energy density, is achievable with much coarser discretizations. We obtain such a result using a time splitting algorithm that solves separately and successively propagation and scattering in the simplified...
Time splitting for wave equations in random media
Numerical simulation of high frequency waves in highly heterogeneous media is a challenging problem. Resolving the fine structure of the wave field typically requires extremely small time steps and spatial meshes. We show that capturing macroscopic quantities of the wave field, such as the wave energy density, is achievable with much coarser discretizations. We obtain such a result using a time splitting algorithm that solves separately and successively propagation and scattering in the...
Towards a theory of second grade thermoelasticity.
Twinning in minerals and metals: remarks on the comparison of a thermoelastic theory with some experimental results. Mechanical twinning and growth twinning. Nota II
In this Note II we continue the analysis of the phenomenon of mechanical twinning that we began in a preceding Note I. Furthermore, we point out some fundamental properties useful in the study of growth twins, for which a fully comprehensive thermoelastic theory is not yet available.
Twinning in minerals and metals: remarks on the comparison of a thermoelastic theory with some experimental results. Generalities and mechanical twinning
In the present Note I and in a following Note II (Zanzotto 1988), we discuss, taking into account some available experimental data, the results of a thermoelastic theory of twinning in crystalline solids. Various noteworthy problems emerge, some of which involve the hypotheses that are at the very basis of the theory.
Two theorems on convergence of Fourier integrals and Fourier series
Two-dimensional problems of elasticity of anisotropic bodies.