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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... homogeneous , isotropic and incompressible , may be envisaged as a “ rubberlike material " The paper by C. O. Horgan provides a review of recent results concerning the decay at large spatial distance of solutions to ( systems of ) ...
... homogeneous , isotropic and incompressible , may be envisaged as a “ rubberlike material " The paper by C. O. Horgan provides a review of recent results concerning the decay at large spatial distance of solutions to ( systems of ) ...
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... homogeneous deformation . The Mooney - Rivlin constitutive equation for homogeneous isotropic incompressible elastic materials is generally used to model the behaviour of rubberlike materials ( see , for instance , Beatty ' for an ...
... homogeneous deformation . The Mooney - Rivlin constitutive equation for homogeneous isotropic incompressible elastic materials is generally used to model the behaviour of rubberlike materials ( see , for instance , Beatty ' for an ...
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... homogeneous deformation is considered , and the kinematics of the motion resulting from this superimposed wave is considered . 1 In section 4 , the equations of motion governing the propagation of such waves are obtained . It is shown ...
... homogeneous deformation is considered , and the kinematics of the motion resulting from this superimposed wave is considered . 1 In section 4 , the equations of motion governing the propagation of such waves are obtained . It is shown ...
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... HOMOGENEOUS DEFORMATION Consider now a static finite homogeneous deformation of a Mooney - Rivlin material , defined by x = FX > > FiAXA det ( F ) = 1 , ( 11 ) where FA is a constant deformation gradient satisfying the incompressibility ...
... HOMOGENEOUS DEFORMATION Consider now a static finite homogeneous deformation of a Mooney - Rivlin material , defined by x = FX > > FiAXA det ( F ) = 1 , ( 11 ) where FA is a constant deformation gradient satisfying the incompressibility ...
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... homogeneous deformation . We call this the " B - 1 - ellipsoid " . But a and b are 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 ...
... homogeneous deformation . We call this the " B - 1 - ellipsoid " . But a and b are 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 ...
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