Geodesic
The emergence of Airy stress function in two-dimensional disordered packings of particles
Teoretičeskaâ i matematičeskaâ fizika, Tome 215 (2023) no. 2, pp. 225-231

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The packing of hard-core particles in contact with their neighbors is a statically determinate problem. The probability functional method allows deriving the full system of equations for the stress tensor components analytically. For an isotropic and homogeneous two-dimensional packing, we derive the classical Euler–Cauchy and Navier equations; the latter allows expressing the stress tensor of the system in terms of the Airy stress function.
Keywords: stress tensor, Airy stress function, particle packing. 
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     title = {The emergence of {Airy} stress function in two-dimensional disordered packings of particles},
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D. V. Grinev. The emergence of Airy stress function in two-dimensional disordered packings of particles. Teoretičeskaâ i matematičeskaâ fizika, Tome 215 (2023) no. 2, pp. 225-231. http://geodesic.mathdoc.fr/item/TMF_2023_215_2_a4/