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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Resultados 1-5 de 33
Página 2
... tensor B - 1 , where B is the left Cauchy - Green strain tensor of the basic static deformation . They also obtained simple expressions for the wave speeds and showed that the wave speeds are equal for propagation along special ...
... tensor B - 1 , where B is the left Cauchy - Green strain tensor of the basic static deformation . They also obtained simple expressions for the wave speeds and showed that the wave speeds are equal for propagation along special ...
Página 3
... tensor E = ( C / p ) 1 + ( D / p ) B , where p is the mass density and C , D are the material parameters . Referring then the equation to the principal axes of the static deformation ( principal axes of the strain tensor B ) , it may be ...
... tensor E = ( C / p ) 1 + ( D / p ) B , where p is the mass density and C , D are the material parameters . Referring then the equation to the principal axes of the static deformation ( principal axes of the strain tensor B ) , it may be ...
Página 4
... tensors EB - 1 and B - 1 ( results in terms of the propagation direction ) or with the tensors E - 1B and B ( results in terms of the ray direction ) and all have the same principal axes . 1 Finally , given a polarization direction of a ...
... tensors EB - 1 and B - 1 ( results in terms of the propagation direction ) or with the tensors E - 1B and B ( results in terms of the ray direction ) and all have the same principal axes . 1 Finally , given a polarization direction of a ...
Página 5
... tensor , whose components , in a rectan- gular Cartesian - coordinate system are Bj = Jx , Əx ; ΟΧΑ ΟΧΑ 7 ( 3 ) where xi ( i = 1,2,3 ) are the coordinates at time t of the point whose coordinates are XA ( A 1,2,3 ) in the undeformed ...
... tensor , whose components , in a rectan- gular Cartesian - coordinate system are Bj = Jx , Əx ; ΟΧΑ ΟΧΑ 7 ( 3 ) where xi ( i = 1,2,3 ) are the coordinates at time t of the point whose coordinates are XA ( A 1,2,3 ) in the undeformed ...
Página 7
... tensor BFF corresponding to the motion ( 13 ) is given by B = ( 1 + fan ) B ( 1 + ƒ „ , na ) , in ( 18 ) and , because ( 1 + ƒ , an ) ( 1 − ƒ , an ) = 1 , - ( 19 ) we have B - 1 = ( 1 , , na ) B - ' ( 1- f ,,, an ) . ( 20 ) Also , I ...
... tensor BFF corresponding to the motion ( 13 ) is given by B = ( 1 + fan ) B ( 1 + ƒ „ , na ) , in ( 18 ) and , because ( 1 + ƒ , an ) ( 1 − ƒ , an ) = 1 , - ( 19 ) we have B - 1 = ( 1 , , na ) B - ' ( 1- f ,,, an ) . ( 20 ) Also , I ...
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