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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Página 2
... wave speeds and showed that the wave speeds are equal for propagation along special directions , called the " acoustic axes " There are deter- mined only by the static deformation of the material . There are two such directions if this ...
... wave speeds and showed that the wave speeds are equal for propagation along special directions , called the " acoustic axes " There are deter- mined only by the static deformation of the material . There are two such directions if this ...
Página 3
... wave superimposed on a basic state of finite homogeneous deformation is considered , and the kinematics of the ... speeds are obtained . Generally , it will turn out that this tensor E is very useful for a simple formulation of most results ...
... wave superimposed on a basic state of finite homogeneous deformation is considered , and the kinematics of the ... speeds are obtained . Generally , it will turn out that this tensor E is very useful for a simple formulation of most results ...
Página 4
... energy flux velocities occur for those waves with maximum and minimum wave speeds . An analysis ( section 9 ) of the singular points and the singular tangent planes of the slowness and ray surfaces is presented . It is shown that both ...
... energy flux velocities occur for those waves with maximum and minimum wave speeds . An analysis ( section 9 ) of the singular points and the singular tangent planes of the slowness and ray surfaces is presented . It is shown that both ...
Página 7
... wave propagating in the direction n , linearly polarized along the direction a . For this motion , the deformation gradient from the reference state , denoted by F , is given by τη FiA = = Jx1 მუ ; მუ ... WAVE SPEEDS The wave motion ( 7.
... wave propagating in the direction n , linearly polarized along the direction a . For this motion , the deformation gradient from the reference state , denoted by F , is given by τη FiA = = Jx1 მუ ; მუ ... WAVE SPEEDS The wave motion ( 7.
Página 8
Remigio Russo. 4 PROPAGATION CONDITION . WAVE SPEEDS The wave motion ( 13 ) ( 14 ) has to satisfy the equations of motion , which , in the absence of body forces , read = where p is the constant mass density of the Mooney - Rivlin ...
Remigio Russo. 4 PROPAGATION CONDITION . WAVE SPEEDS The wave motion ( 13 ) ( 14 ) has to satisfy the equations of motion , which , in the absence of body forces , read = where p is the constant mass density of the Mooney - Rivlin ...
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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Términos y frases comunes
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