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Hyperbolic umbilic catastrophe in crystal fracture

Abstract

WE have demonstrated the existence of a cusp catastrophe in a symmetry-breaking mechanical instability of a close packed atomic lattice1,2, and in an extension of this work we demonstrate here the existence of the more complex hyperbolic umbilic catastrophe3–5 in a three-dimensional failure-stress locus.

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References

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THOMPSON, J., SHORROCK, P. Hyperbolic umbilic catastrophe in crystal fracture. Nature 260, 598–599 (1976). https://doi.org/10.1038/260598a0

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  • DOI: https://doi.org/10.1038/260598a0

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