Mathematical Problems In ElasticityRemigio Russo World Scientific, 11 ene 1996 - 200 páginas In this volume, five papers are collected that give a good sample of the problems and the results characterizing some recent trends and advances in this theory. Some of them are devoted to the improvement of a general abstract knowledge of the behavior of elastic bodies, while the others mainly deal with more applicative topics. |
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... acoustic axes " There are deter- mined only by the static deformation of the material . There are two such directions if this deformation is triaxial ( three different principal stretches ) , and one if it is biaxial ( two principal ...
... acoustic axes " There are deter- mined only by the static deformation of the material . There are two such directions if this deformation is triaxial ( three different principal stretches ) , and one if it is biaxial ( two principal ...
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... axes of the elliptical section of the ellipsoid associated with the tensor B - 1 by the plane n x = 0 orthogonal to ... acoustic axes " , the special directions for which the two wave speeds are equal , which are along the normals to the ...
... axes of the elliptical section of the ellipsoid associated with the tensor B - 1 by the plane n x = 0 orthogonal to ... acoustic axes " , the special directions for which the two wave speeds are equal , which are along the normals to the ...
Página 4
... acoustic axes and the ray axes , respectively . The derivation is based upon the properties of the pair of common conjugate directions with respect to the elliptical sections of two concentric ellipsoids by a central plane1 The ...
... acoustic axes and the ray axes , respectively . The derivation is based upon the properties of the pair of common conjugate directions with respect to the elliptical sections of two concentric ellipsoids by a central plane1 The ...
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Índice
1 | |
DECAY ESTIMATES FOR BOUNDARYVALUE PROBLEMS IN LINEAR AND NONLINEAR CONTINUUM MECHANICS | 47 |
ON THE TRACTION PROBLEM IN INCOMPRESSIBLE LINEAR ELASTICITY FOR UNBOUNDED DOMAINS | 91 |
AN ABSTRACT PERTURBATION PROBLEM WITH SYMMETRIES SUGGESTED BY LIVE BOUNDARY PROBLEMS IN ELASTICITY | 129 |
MAXIMUM PRINCIPLES IN CLASSICAL ELASTICITY | 157 |
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acoustic axes affine representation Anal analogous analytic anti-plane shear assume asymptotic B-¹a B¯¹a basic static deformation biharmonic biharmonic equation boundary conditions boundary value problem C(Vu constant corresponding cylinder decay estimates defined denote E₁ elasticity elliptic energy energy-flux velocity exponential decay follows harmonic functions Hence homogeneous Horgan and Payne inequality isotropic L²(B Laplace's equation Lemma linear subspace mapping Math Mathematics maximum principle Mech Navier-Stokes equations nonlinear obtained Oleinik orthogonal partial differential equations Phragmén-Lindelöf polarisation directions polarized principal axis principal stress quasilinear ray direction ray slowness ray surface Roseman Saint-Venant Saint-Venant principle Saint-Venant's principle satisfies second-order semi-infinite strip slowness surface solution to system spatial decay Stokes flow subspace symmetries tensor Theorem theory traction problem uniqueness unit vectors v²(a v²(b Vu)² dv wave propagating wave speeds x₁ Y₁ Y₂ yields Ŷv)² ав