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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... nonlinear schemes ) in the growth of theoretical knowledge and description of the physical world , as well as in the practical management of some important mechanical phenomena , is widely acknowledged and has been pointed out in most ...
... nonlinear schemes ) in the growth of theoretical knowledge and description of the physical world , as well as in the practical management of some important mechanical phenomena , is widely acknowledged and has been pointed out in most ...
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... Nonlinear Continuum Mechanics 47 C. O. Horgan On the Traction Problem in Incompressible Linear Elasticity for Unbounded Domains R. Russo and G. Starita An Abstract Perturbation Problem with Symmetries . Suggested by Live Boundary ...
... Nonlinear Continuum Mechanics 47 C. O. Horgan On the Traction Problem in Incompressible Linear Elasticity for Unbounded Domains R. Russo and G. Starita An Abstract Perturbation Problem with Symmetries . Suggested by Live Boundary ...
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... nonlinear elasticity ) . Elastic waves in deformed Mooney - Rivlin materials are of particular interest because many explicit results may be obtained for finite amplitude waves although the underlying theory is nonlinear . Because of ...
... nonlinear elasticity ) . Elastic waves in deformed Mooney - Rivlin materials are of particular interest because many explicit results may be obtained for finite amplitude waves although the underlying theory is nonlinear . Because of ...
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... nonlinear in 7 ( ƒ › nn ‡ 0 ) , equation ( 43 ) yields the propagation condition γη b . B1a = 0 . ( 44 ) For a given propagation direction n , it is a condition on the polarization direction a ( recall b = n x a ) . = The propagation ...
... nonlinear in 7 ( ƒ › nn ‡ 0 ) , equation ( 43 ) yields the propagation condition γη b . B1a = 0 . ( 44 ) For a given propagation direction n , it is a condition on the polarization direction a ( recall b = n x a ) . = The propagation ...
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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