Results 111 to 120 of about 198 (163)

A SINGULAR PROBLEM IN INCOMPRESSIBLE NONLINEAR ELASTOSTATICS

Mathematical Models and Methods in Applied Sciences, 2000
This paper represents a contribution to the numerical treatment of problems in incompressible elasticity theory for large deformations. We are especially concerned about the solution of plane problems with corners. A review of the literature on these problems indicates that the behavior of the solution in the vicinity of a corner is given little ...
Aguiar, Adair R., Fosdick, Roger L.
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Variational Principles of Contact Elastostatics

IMA Journal of Applied Mathematics, 1977
In this paper, the variational principles of contact elastostatics, which were proposed and proved by Fichera (1964) and Duvaut & Lions (1972) are developed in an engineering fashion without use of functional analysis. The theory contains a number of new elements, but the elegant existence proofs of the French-Italian school are missing.
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Dual conservation laws in elastostatics

International Journal of Engineering Science, 1985
Several new dual conservation laws are given in this study under the assumption of the existence of the complementary strain energy density function. They are valid for both finite deformation and infinitesimal deformation of elastic solid. Applications of these laws to fracture mechanics are discussed.
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Uncoupled solutions in elastostatics

International Journal of Engineering Science, 1976
Abstract The paper presents two new forms of uncoupled solutions of elastostatic equations. These solutions are valid for compressible and incompressible bodies and are presented by harmonic functions. The derivation procedure is based on the author's previous results concerning integration of differential equations in elastostatics.
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An elastostatic circle theorem

Mathematical Proceedings of the Cambridge Philosophical Society, 1973
AbstractAn isotropic infinite plane containing a circular inhomogeneity is subjected to an arbitrary loading condition. Assuming that the unperturbed elastic field is known, it is proved that the disturbed Papkovich potentials are expressible in terms of the potentials for the homogeneous plane. This knowledge can save considerable labour in the actual
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Faxén theorems in elastostatics

Physica A: Statistical Mechanics and its Applications, 1992
Abstract In this article, we consider the Cartesian force multipole moments induced in a spherical particle when being set into an elastic—both shearable and compressible—medium with a given static displacement field. We express those multipoles contributing to the scattered field outside the particle in terms of the gradients of the displacement ...
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GEOMETRIC DISCONTINUITIES IN ELASTOSTATICS

1966
Abstract : Three-dimensional elastostatic problems for an infinite solid with geometric discontinuities are formulated and solved with the aid of potential functions. In the problem of a linearly varying pressure specified over a plane region bounded by an ellipse, use is made of the gravitational potential at an exterior point of a homogeneous ...
G. C. Sih, M. K. KASSIR
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Two Dimensional Elastostatics

1992
It is always useful, for any mathematical model, to obtain exact solutions. One can then begin to appreciate how closely (or otherwise) the model conforms with reality. It is not as easy to draw conclusions on the validity of a mathematical model from a numerical solution since, by its nature, a numerical solution can only apply to one specific ...
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Variational principles in elastostatics

Meccanica, 1967
In a previous paper three new variational principles of elastostatics in the theory of small displacements were added to the four principles previously known: that of the minimum potential energy, of Menabrea-Finzi, of Reissner and of Hu-Washizu. This paper presents another new principle plus a variant of Reissner's principle and of its dual and ...
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An Inverse Problem in Elastostatics

IMA Journal of Applied Mathematics, 1981
Gladwell, G. M. L., Coen, S.
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