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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... defined as the mean energy - flux vector devided by the mean energy density is introduced . Expressions are obtained for the energy - flux velocities of the two waves propagating in a given direction n . Section 7 introduces the ...
... defined as the mean energy - flux vector devided by the mean energy density is introduced . Expressions are obtained for the energy - flux velocities of the two waves propagating in a given direction n . Section 7 introduces the ...
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... defined by x = FX > > FiAXA det ( F ) = 1 , ( 11 ) where FA is a constant deformation gradient satisfying the incompressibility con- straint . The corresponding constant strain and stress are given by B = FFT Bij = FIA FJA ( 12 ) T ...
... defined by x = FX > > FiAXA det ( F ) = 1 , ( 11 ) where FA is a constant deformation gradient satisfying the incompressibility con- straint . The corresponding constant strain and stress are given by B = FFT Bij = FIA FJA ( 12 ) T ...
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... defines a surface in the space of coordinates s ; ( i = 1,2,3 ) : the slowness surface . The slowness surface is made up of two sheets as appears from the factorization ( 51 ) . Explicit equations for these two ... defined by pE , = C 11.
... defines a surface in the space of coordinates s ; ( i = 1,2,3 ) : the slowness surface . The slowness surface is made up of two sheets as appears from the factorization ( 51 ) . Explicit equations for these two ... defined by pE , = C 11.
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Remigio Russo. where E , are defined by pE , = C + DX ? ( 2 = 1,2,3 ) . > ( 61 ) This notation suggests the introduction of the tensor E , defined by = PE C1 + DB , ( 62 ) whose eigenvalues are E1 , E2 , E3 . With this notation , the ...
Remigio Russo. where E , are defined by pE , = C + DX ? ( 2 = 1,2,3 ) . > ( 61 ) This notation suggests the introduction of the tensor E , defined by = PE C1 + DB , ( 62 ) whose eigenvalues are E1 , E2 , E3 . With this notation , 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