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Stress analysis of an infinite plate with single hole by using Airy’s stress function
Materials Today: Proceedings, 2022Soni Kumari, Din Bandhu
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Generalized Airy Stress Functions
Meccanica, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fosdick, Roger, Schuler, Karl
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2003
In William’s eigenfunction expansion method [1] the Airy stress function for a semi-infinite crack in an infinite plate subjected to general loading is assumed in the form $$ U = {r^{\lambda + 1}}f(\theta ) $$ (1) where r, θ are polar coordinates centered at the crack tip and λ is real.
Gdoutos E E, E E Gdoutos
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In William’s eigenfunction expansion method [1] the Airy stress function for a semi-infinite crack in an infinite plate subjected to general loading is assumed in the form $$ U = {r^{\lambda + 1}}f(\theta ) $$ (1) where r, θ are polar coordinates centered at the crack tip and λ is real.
Gdoutos E E, E E Gdoutos
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Parametric self-supporting surfaces via direct computation of airy stress functions
ACM Transactions on Graphics, 2015This paper presents a method that employs parametric surfaces as surface geometry representations at any stage of a computational process to compute self-supporting surfaces. This approach can be differentiated from existing relevant methods because such methods represent surfaces by a triangulated mesh surface or a network consisting of lines.
Philippe Block, Masaaki Miki
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Airy stress function for atomic models
Journal of Computational Physics, 1981Abstract A simple method is shown for computing the Airy stress function for two-dimensional problems. The method is applied to a simple mechanics example and to large computer-generated atomic models whose properties are independent of some coordinate z.
Steinhardt, Paul J., Chaudhari, P.
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Graphic statics using discontinuous Airy stress functions
International Journal of Space Structures, 2016It is known that the equilibrium of two-dimensional trusses can be represented using Maxwell reciprocal diagrams and polyhedral Airy stress functions, with the change in slope of the stress function corresponding to a tension force. This article generalises the analysis to include two-dimensional frames, showing how a discontinuity in the value of the ...
Allan Mcrobie
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On Airy functions and stresses in nonisotropic heterogeneous 2d‐elasticity
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2008AbstractProblems in elasticity are described by relations between the displacement field u, the strain or deformation tensor ε, and the stress tensor σ. In 2D elasticity and if volume forces are absent, one may also consider an elastic potential. We explain these settings for a domain Ω with finitely many holes.
Kulikov, A., Nazarov, S. A., Sweers, G.
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Design of tension structures and shells using the Airy stress function
International Journal of Space Structures, 2021Discontinuities in the Airy stress function for in-plane stress analysis represent forces and moments in connected one-dimensional elements. We expand this representation to curved membrane-action structures, such as shells and cable nets, and graphically visualise the internal stresses and section forces at the boundary necessary for equilibrium.
Alexander Sehlström +2 more
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Stresses in an overthrust sheet and propagation of thrusting: An Airy stress function solution
Tectonics, 1992An Airy stress function solution is derived for the stress field in an elastic wedge‐shaped overthrust sheet subject to horizontal forces at the rear and at the front. From this stress solution the state of stress on the basal thrust (lower boundary of the sheet) is obtained.
J. Y. Liu, G. Ranalli
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Formulation of Electrostrictive Stresses in Dielectric Bodies via an Airy Stress Function
Ferroelectrics Letters Section, 2006A Maxwell-Airy stress function approach is presented for the evaluation of electrostrictive stresses in dielectric bodies. In the plane stress state a two-dimensional stress function is related to the electric field for an unpoled dielectric within an m3m cubic symmetry.
W. B. CARLSON, D. E. McCAULEY
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