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
... orthogonal to each other and to the propagation direction , may propagate along any direction in a Mooney - Rivlin material which is subject to arbitrary finite static homogeneous . Later , Boulanger and Hayes gave a simple ...
... orthogonal to each other and to the propagation direction , may propagate along any direction in a Mooney - Rivlin material which is subject to arbitrary finite static homogeneous . Later , Boulanger and Hayes gave a simple ...
Página 3
... orthogonal to n . It is also noted that the fastest wave propagates in the direction of the greatest stretch and is polarized along the direction of the least stretch , whilst the slowest wave propagates in the direction of the least ...
... orthogonal to n . It is also noted that the fastest wave propagates in the direction of the greatest stretch and is polarized along the direction of the least stretch , whilst the slowest wave propagates in the direction of the least ...
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... orthogonal directions in the sense of Schouten 13 are also considered . Here , it is shown that such pairs of directions necessarily lie in a principal plane of the basic static deformation . For a given propagation direction n , there ...
... orthogonal directions in the sense of Schouten 13 are also considered . Here , it is shown that such pairs of directions necessarily lie in a principal plane of the basic static deformation . For a given propagation direction n , there ...
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... orthogonal to n n a = 0 n naa = 1 . > ( 16 ) ( 17 ) The possible waves are necessarily transverse . The left Cauchy - Green strain tensor BFF corresponding to the motion ( 13 ) is given by B = ( 1 + fan ) B ( 1 + ƒ „ , na ) , in ( 18 ) ...
... orthogonal to n n a = 0 n naa = 1 . > ( 16 ) ( 17 ) The possible waves are necessarily transverse . The left Cauchy - Green strain tensor BFF corresponding to the motion ( 13 ) is given by B = ( 1 + fan ) B ( 1 + ƒ „ , na ) , in ( 18 ) ...
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... orthogonal , and are both orthogonal to n . It follows that a and b must be along the principal axes of the elliptical section of the B - 1 - ellipsoid by the plane 0 orthogonal to n . Hence , for every propagation direction n , two ...
... orthogonal , and are both orthogonal to n . It follows that a and b must be along the principal axes of the elliptical section of the B - 1 - ellipsoid by the plane 0 orthogonal to n . Hence , for every propagation direction n , two ...
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