2022
DOI: 10.1016/j.physd.2022.133177
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Description of the buckling of a chain of hard spheres in terms of Jacobi functions

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Cited by 6 publications
(20 citation statements)
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“…10: 230293 direction. These discrete equations have been solved numerically using the shooting method [1,[22][23][24][25], and the solutions produce the angle profiles, θ n .…”
Section: Differential Equationmentioning
confidence: 99%
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“…10: 230293 direction. These discrete equations have been solved numerically using the shooting method [1,[22][23][24][25], and the solutions produce the angle profiles, θ n .…”
Section: Differential Equationmentioning
confidence: 99%
“…We first consider the absence of tilt, τ = 0, for which there is a constant compressive force Gfalse(ufalse)=G. Taylor expanding the square root in the denominator of the right-hand side of equation (2.2) to order ϕ 2 , one obtains the reduced equation [25],ϕ=false(scriptG14false)ϕϕ32scriptG.(In [25] this was written in terms of a parameter κ 2 , defined as κ2=scriptG14. )…”
Section: Approximations Of the Full Equationmentioning
confidence: 99%
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