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. |
Dentro del libro
Resultados 1-5 de 40
Página 3
... constants C and D of the model are introduced and are assumed to satisfy the strong ellipticity conditions . Next ( section 3 ) , a finite - amplitude wave superimposed on a basic state of finite homogeneous deformation is considered ...
... constants C and D of the model are introduced and are assumed to satisfy the strong ellipticity conditions . Next ( section 3 ) , a finite - amplitude wave superimposed on a basic state of finite homogeneous deformation is considered ...
Página 5
... constants and I = tr B , - 211 = ( tr B ) 2 – tr ( B2 ) ( 1 ) ( 2 ) Here B denotes the left Cauchy - Green strain tensor , whose components , in a rectan- gular Cartesian - coordinate system are Bj = Jx , Əx ; ΟΧΑ ΟΧΑ 7 ( 3 ) where xi ...
... constants and I = tr B , - 211 = ( tr B ) 2 – tr ( B2 ) ( 1 ) ( 2 ) Here B denotes the left Cauchy - Green strain tensor , whose components , in a rectan- gular Cartesian - coordinate system are Bj = Jx , Əx ; ΟΧΑ ΟΧΑ 7 ( 3 ) where xi ...
Página 6
... constant deformation gradient satisfying the incompressibility con- straint . The corresponding constant strain and stress are given by B = FFT Bij = FIA FJA ( 12 ) T = −pl + ( C + DI ) B – DB2 = -p.1 + CB - DB - 1 , 1 where P and P ...
... constant deformation gradient satisfying the incompressibility con- straint . The corresponding constant strain and stress are given by B = FFT Bij = FIA FJA ( 12 ) T = −pl + ( C + DI ) B – DB2 = -p.1 + CB - DB - 1 , 1 where P and P ...
Página 8
... constant mass density of the Mooney - Rivlin material . ( 27 ) Let now b = n x a , so that n , a , b form an orthonormal triad . Let ( ŋ , § , ( ) and ( 7,5,5 ) be the components of x and x ( respectively ) in this triad . Thus , with ...
... constant mass density of the Mooney - Rivlin material . ( 27 ) Let now b = n x a , so that n , a , b form an orthonormal triad . Let ( ŋ , § , ( ) and ( 7,5,5 ) be the components of x and x ( respectively ) in this triad . Thus , with ...
Página 9
... constant , we obtain pfste D ( b . B - 1a ) finn = 0 , ( 41 ) · ( Cn Bn + Da B - 1a ) finn · ( 42 ) = 0 . ( 43 ) = From ( 41 ) , we conclude that the incremental pressure q has to be a function of time alone , and thus may be taken to ...
... constant , we obtain pfste D ( b . B - 1a ) finn = 0 , ( 41 ) · ( Cn Bn + Da B - 1a ) finn · ( 42 ) = 0 . ( 43 ) = From ( 41 ) , we conclude that the incremental pressure q has to be a function of time alone , and thus may be taken to ...
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 |
Otras ediciones - Ver todo
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