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
... energy flux velocity vector ) , and of the polarization direction ( along the amplitude vector ) . Here , we draw together these various results in a progressive and systematic pre- sentation starting with the basic equations ...
... energy flux velocity vector ) , and of the polarization direction ( along the amplitude vector ) . Here , we draw together these various results in a progressive and systematic pre- sentation starting with the basic equations ...
Página 3
... flux vector and energy density associated with a wave mo- tion are considered . For time - periodic waves , the energy - flux velocity vector defined as the mean energy - flux vector devided by the mean energy density is introduced ...
... flux vector and energy density associated with a wave mo- tion are considered . For time - periodic waves , the energy - flux velocity vector defined as the mean energy - flux vector devided by the mean energy density is introduced ...
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 5
... energy - flux velocity . The results for a given propagation direction , a given ray direction , and a given polarization direction are recalled in turn . Although several properties are reminiscent of crystal acoustics , these results ...
... energy - flux velocity . The results for a given propagation direction , a given ray direction , and a given polarization direction are recalled in turn . Although several properties are reminiscent of crystal acoustics , these results ...
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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