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.
Una teoria di piastra laminata piezoelettrica
È presentato un modello di piastra laminata piezoelettrica, dedotto razionalmente dalla teoria tridimensionale della piezoelettricità di Voigt. Si tratta di un'estensione ai laminati piezoelettrici della teoria di laminato elastico detta «alla Reissner-Mindlin». Le equazioni che governano il problema del laminato piezoelettrico sono fornite sia in forma differenziale che in forma variazionale. Il modello proposto è utilizzato nell'analisi di alcuni semplici problemi, allo scopo di saggiarne l'affidabilità....
Uniformity and homogeneity of elastic rods, shells and Cosserat three-dimensional bodies.
Uniformity and homogeneity of elastic rods, shells and Cosserat three-dimensional bodies
We present a general geometrical theory of uniform bodies which includes three-dimensional Cosserat bodies, rods and shells as particular cases. Criteria of local homogeneity are given in terms on connections.
Začátky mathematické krystallografie [I.]
Začátky mathematické krystallografie [II.]
Začátky mathematické krystallografie [III.]
Začátky mathematické krystallografie [IV.]
Začátky mathematické krystallografie [V.]
Асимптотическое разложение решений системы теории упругости в перфорированных областях
Влияние неоднородности среды на направленность простейших источников упругих волн
Возбуждение модулированных колебаний в неоднородных средах
Высокочастотные точечные источники в неоднородной упругой среде