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- W4385357585 abstract "A one-dimensional nonlinear elastic chain, known as Fermi–Pasta–Ulam system, is analyzed in the static field. The chain is made of elements admitting a quartic potential, with softening nonlinear behavior. When the chain is subject to pure tension, it exhibits a multi-degenerate hill-top bifurcation, from which several softening branches bifurcate. On each path, the springs either behave softening or hardening, in all the possible combinations, making the response non-unique. Both exact and asymptotic solutions are pursued, and the multitude of the bifurcated paths is illustrated by bifurcation diagrams. A proof of their instability is given. The role of the imperfections is commented, either in modifying the equilibrium paths and in unfolding the degenerate bifurcation." @default.
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- W4385357585 date "2023-11-01" @default.
- W4385357585 modified "2023-09-25" @default.
- W4385357585 title "Multi-degenerate hill-top bifurcation of Fermi–Pasta–Ulam softening chains: Exact and asymptotic solutions" @default.
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- W4385357585 doi "https://doi.org/10.1016/j.ijnonlinmec.2023.104509" @default.
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