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An investigation of beam theory using the Airy stress function coupled with analytic function theory
Journal of Engineering Mathematics, 1986zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jesson, D. E., Cottingham, W. N.
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Exact Elasticity Solution for the Density Functionally Gradient Beam by Using Airy Stress Function
Applied Mechanics and Materials, 2011In this paper the problem of a density-functionally gradient beam subjected to uniform load is studied. Airy stress function methodology is used to obtain a set of analytical solutions for simply supported and clamped beams subjected to uniform load. A stress function in the form of polynomial is proposed and determined.
Alireza R. Daneshmehr +2 more
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Airy functions in the air: an easy way with stress problems (teaching)
Physics Education, 1978The easiest way to solve stress problems involving beams, rods, strings and the like is to construct the Airy stress function in the air. Some simple examples are given, and the properties and derivation of Airy's function (and a vector force function, which is also useful) are expounded.
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1868: On Reciprocal Diagrams in Space, and their relation to Airy’s Function of Stress
exaly +2 more sourcesDetermination of Constitutive Properties in Inverse Problem Using Airy Stress Function
2017A new inverse problem formulation is developed using the Airy stress function. Inverse methods are used to determine the constitutive properties of a graphite/epoxy laminated composite loaded vertically by processing measured values of v-displacement component with an Airy stress function in complex variables.
A. Alshaya +2 more
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Formulation of Piezoelectricity and Electrostriction in 4mm Symmetry Via an Airy Stress Function
Ferroelectrics Letters Section, 2007A Maxwell-Airy stress function approach is presented for the evaluation of the combination of piezoelectric and electrostrictive stresses in dielectric bodies.
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Airy Stress Functions for Transverse Sinusoidally Loaded Beam in Nonlocal Elasticity
Journal of Computational and Theoretical Nanoscience, 2011On the face of difficulty of employing the nonlocal constitutive relations in the form of integral equation, researchers started to seek alternative forms of the nonlocal constitutive relations. The Greens function formalism has become the most popular one for this purpose.
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Design of tension structures and shells using the Airy stress function
International Journal of Space Structures, 2022Alexander Sehlström
exaly

