منابع مشابه
Plane strain deformation of an initially stressed orthotropic elastic medium
The eigenvalue approach, using the Laplace and Fourier transforms, has been employed to find the analytical expressions for displacements and stresses at any point, as a result of an inclined line load, of an initially stressed orthotropic elastic medium. A plain strain problem has been studied. The results in the form of displacement and stress components have been obtained and discussed graph...
متن کاملFirst Integrals and the Residual Solution for Orthotropic Plates in Plane Strain or Axisymmetric Deformations
Two classes of exact solutions are derived for the equations of three dimensional linear orthotropic elasticity theory governing flat (plate) bodies in plane strain or axisymmetric deformations. One of these is the analogue of the Levy solution for plane strain deformations of isotropic plates and is designated as the interior solutions. The other complementary class correspond to the Papkovich...
متن کاملFinite Plane Strain Deformations of Rubberlike Materials
A finite element program capable of analysing finite plane strain deformations of incompressible rubberlike (Mooney-Rivlin) materials has been develop~d. Two problems, namely a long wall loaded uniformly in two directions and a thick-wall cylindrical pressure vessel loaded internally, have been solved. The computed values of displacements, strains, stresses and hydrostatic pressure agree very c...
متن کاملPlane Strain Problem in Elastically Rigid Finite Plasticity
A theory of elastically rigid finite deformation plasticity emphasizing the role of material symmetry is developed. The fields describing lattice rotation, dislocation density, and plastic spin, irrelevant in the case of isotropy, are found to be central to the present framework. A plane strain characteristic theory for anisotropic plasticity is formulated wherein the solutions, as well as the ...
متن کاملStick, partial slip and sliding in the plane strain micro contact of two elastic bodies
The plane strain problem of a curved elastic body pressed against an elastic half-space is considered. The effect of adhesion is included through the use of surface energy in a manner similar to the well-known JKR theory for spherical contacts. The compressive normal force is held constant while a tangential force is gradually increased from zero. The contact is characterized by complete stick ...
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 1954
ISSN: 0022-2518
DOI: 10.1512/iumj.1954.3.53034