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On the Dilatation Theory of Elasticity

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1981
AbstractIn this paper a linear theory for a solid, for which the displacement and dilatation (volume change) fields are independent, is investigated in details. The theory is applied to describe the mechanical behaviour of an elastic solid containing a large number of microvoids and the material constants, entering the theory, are calculated for this ...
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Elasticity Theory of Plates and a Refined Theory

Journal of Applied Mechanics, 1979
A method for the solution of three-dimensional elasticity equations is presented and is applied to the problem of thick plates. Through this method three governing differential equations, the well-known biharmonic equation, a shear equation and a third governing equation, are deduced directly and systematically from Navier’s equations. It is then shown
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An elastic theory for rubber

Journal of the Franklin Institute, 1942
Abstract The elastic properties of vulcanized rubber present a difficult problem to generalize, mainly because of the large number of compounds in common use. There are good reasons for many kinds and grades, and a characteristic common to all is large elastic strain.
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Theory of Elasticity

2005
Stress Tensor.- Deformation of a Continuum.- The Constitutive Laws of the Linear Theory of Elasticity.- Governing Relationships in the Linear Theory of Elasticity.- Three-dimensional Problems in the Theory of Elasticity.- Saint-Venant's Problem.- The Plane Problem of the Theory of Elasticity.- Constitutive Laws for Nonlinear Elastic Bodies.- Problems ...
A. I. Lurie, Alexander Belyaev
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Microscopic theory of rubber elasticity

The Journal of Chemical Physics, 2004
A microscopic integral equation theory of elasticity in polymer liquids and networks is developed which addresses the nonclassical problem of the consequences of interchain repulsive interactions and packing correlations on mechanical response. The theory predicts strain induced softening, and a nonclassical intermolecular contribution to the linear ...
Folusho T, Oyerokun   +1 more
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On the Elasticity Theory of Microporous Solids

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1992
AbstractThis paper deals with existence and uniqueness theorems for boundary value problems and a contact problem for a system of differential equations which was suggested by MARKOV as a linear model for microporous solids. The characteristic of this model is that, in addition to the vector of displacement, free dilatation occurs as fourth field ...
Assaf, M. A., Jentsch, L.
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Theory of Elasticity

2010
The Three-Dimensional Problem.- The Problem of Saint Venant.- The Two-Dimensional Problems.- The One-Dimensional Problems.- Thermoelasticity.- Stability.- Anisotropy.- Nonlinear Elasticity.
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Nonlinear Theory of Elastic Surfaces

Journal of Mathematical Physics, 1966
The present paper develops a nonlinear theory for the deformation of an elastic surface by assuming the existence of a strain energy function and postulating a principle of virtual work which governs its mechanical behavior. By considering the strain energy function to depend on the first- and second-order deformation gradients, the field equations and
Cohen, H., DeSilva, C. N.
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Elasticities and the Interest Parity Theory

Journal of Political Economy, 1973
In a recent article in this Journal, M. F. J. Prachowny (1970) offers a revised specification of the interest parity condition; he introduces a spread between borrowing and lending interest rates and assumes an upward-sloping supply of funds. These assumptions imply the existence of a neutral band around the traditional interest parity line-in which no
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Theory of Elasticity

1976
An inspection of the mechanical laws described in the last chapter reveals one scalar equation expressing the conservation of mass, three scalar equations expressing the balance of linear momentum, and three scalar equations expressing the balance of angular momentum, thus giving a total of seven equations in all.
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