A continuum description of the buckling of a line of spheres in a transverse harmonic confining potential
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2023Access:
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S. Hutzler, J. Ryan-Purcell, A. Mughal and D. Weaire, A continuum description of the buckling of a line of spheres in a transverse harmonic confining potential, Royal Society Open Science, 10, 7, 2023, 230293-Download Item:
Abstract:
A line of contacting hard spheres, placed in a transverse confining potential, buckles under compression or when tilted away from the horizontal, once a critical tilt angle is exceeded. This interesting nonlinear problem is enriched by the combined application of both compression and tilt. In a continuous formulation, the profile of transverse sphere displacement is well described by numerical solutions of a second-order differential equation (provided that buckling is not of large amplitude). Here we provide a detailed discussion of these solutions, which are approximated by analytic expressions in terms of Jacobi, Whittaker and Airy functions. The analysis in terms of Whittaker functions yields an exact result for the critical tilt for buckling without compression.
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ESA 4000129502/20/NL/PG
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http://people.tcd.ie/shutzlerhttp://people.tcd.ie/dweaire
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Author: Hutzler, Stefan; Weaire, Denis
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Royal Society Open Science;10;
7;
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one-dimensional colloidal chains, buckling, Jacobi functions, Whittaker functions, Airy functionsDOI:
doi.org/10.1098/rsos.230293Metadata
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