Results 111 to 120 of about 3,103 (144)

Transition from airy stress function to state space formulation of elasticity

Journal of the Franklin Institute, 1992
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Sosa, Horacio A., Bahar, Leon Y.
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On the Airy Stress Functions of Plane Dislocation Problems

Journal of Applied Mechanics, 1960
The present paper explores the Airy stress function for a general class of elastic dislocation problems in a doubly connected region. The basic concept of the elastic theory and the dislocation theory, included, are essential to the derivation of the method.
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A Direct Method for Determining Airy Polynomial Stress Functions

Journal of Applied Mechanics, 1957
Abstract Simplified procedures are developed for systematically reducing Airy stress functions expressed as doubly infinite power series to desired polynomial forms on the bases of compatibility and boundary conditions only, without resort to patching or guessing, as is necessary in the conventional superposition and “semi-inverse ...
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Displacements Determined by Airy’s Stress Function

Journal of Applied Mechanics, 1941
Abstract Airy’s stress function defines a plane state of stress by simple formulas. When the constants of elasticity are known, Airy’s function will also define the strains and detrusions by simple formulas, but the determination of the displacements is less direct.
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Discretised Airy stress functions and body forces

2021
This paper extends polyhedral Airy stress functions to incorporate body forces. Stresses of an equilibrium state of a 2D structure can be represented by the sec- ond derivatives of a smooth Airy stress function and the integrals of body forces. In the absence of body forces, a smooth Airy stress function can be discretised into a polyhedron as the ...
Chiang, Y.-C. (author), Buskermolen, P.J. (author), Borgart, A. (author)   +2 more
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Separating Stresses Thermoelastically in a Central Circularly Perforated Plate Using an Airy Stress Function

Strain, 2009
Abstract:  Thermoelastic stress analysis (TSA) is a contemporary full‐field, non‐contacting method of experimental stress analysis. In a cyclically loaded structure which experiences adiabatic and reversible conditions, the measured local change in temperature is proportional to the change in stress.
S.‐J. Lin, D. R. Matthys, R. E. Rowlands   +2 more
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The role of Airy’s stress function

1960
Consider a tetrahedron, centroid P, of continuous material, isolated in thought from the material which surrounds it. Let the lengths of the edges be infinitesimal of order l.
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Estimating the stresses in cantilever beam loaded by a parabolically distributed load with Airy stress functions

International Journal of Mechanics and Materials in Design, 2006
This study presents three mathematical methods namely the polynomial stress function approach, the Fourier series form approach and the approximated equations form approach for finding the stress distribution in a cantilever beam with rectangular cross section loaded by a parabolically distributed load.
Abbas Rastgoo, Armen Amirian
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Inverse Stress Analysis of Pinned Connections Using Strain Gages and Airy Stress Function

2003
R E Rowlands
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The Airy Stress Function for Non-Euclidean Model of a Continuous Medium and Description of Residual Stresses

2021
In the frame of the non-Euclidean model of a continuous medium for which the Saint-Venant compatibility condition for deformations is not fulfilled, an equation for the Airy stress function was derived. A representation was constructed for the field of internal stresses, and it was shown to consist of the classical field of elastic stresses and the ...
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