Point loading of assemblies of interlocked cube-shaped elements

S. Schaare, Arcady Dyskin, Y. Estrin, S. Arndt, Elena Pasternak, A. Kanel-Belov

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    40 Citations (Scopus)

    Abstract

    A new concept of assembling layer-like structures from identical convex elements interlocked by virtue of their geometry and spatial arrangement was developed recently. In particular, identical cubes can be arranged in this type of assembly, such that none of them can be removed from the structure. This is achieved through the kinematic constraint imposed by the neighbouring elements, provided that a constraining frame substitutes for neighbours along the periphery of the assembly. We report experimental results and the results of numerical simulation showing that such assemblies exhibit a highly non-linear response to out-of-plane point loads (indentation), in particular a pronounced loading/unloading hysteresis, post-peak softening, a negative stiffness in the stage of unloading and localisation of irreversible rotations. The results of the simulations confirm that the observed unusual mechanical response is an intrinsic, material-independent property of such assemblies. (C) 2008 Elsevier Ltd. All rights reserved.
    Original languageEnglish
    Pages (from-to)1228-1238
    JournalInternational Journal of Engineering Science
    Volume46
    DOIs
    Publication statusPublished - 2008

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    Unloading
    Indentation
    Hysteresis
    Kinematics
    Stiffness
    Geometry
    Computer simulation

    Cite this

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    title = "Point loading of assemblies of interlocked cube-shaped elements",
    abstract = "A new concept of assembling layer-like structures from identical convex elements interlocked by virtue of their geometry and spatial arrangement was developed recently. In particular, identical cubes can be arranged in this type of assembly, such that none of them can be removed from the structure. This is achieved through the kinematic constraint imposed by the neighbouring elements, provided that a constraining frame substitutes for neighbours along the periphery of the assembly. We report experimental results and the results of numerical simulation showing that such assemblies exhibit a highly non-linear response to out-of-plane point loads (indentation), in particular a pronounced loading/unloading hysteresis, post-peak softening, a negative stiffness in the stage of unloading and localisation of irreversible rotations. The results of the simulations confirm that the observed unusual mechanical response is an intrinsic, material-independent property of such assemblies. (C) 2008 Elsevier Ltd. All rights reserved.",
    author = "S. Schaare and Arcady Dyskin and Y. Estrin and S. Arndt and Elena Pasternak and A. Kanel-Belov",
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    Point loading of assemblies of interlocked cube-shaped elements. / Schaare, S.; Dyskin, Arcady; Estrin, Y.; Arndt, S.; Pasternak, Elena; Kanel-Belov, A.

    In: International Journal of Engineering Science, Vol. 46, 2008, p. 1228-1238.

    Research output: Contribution to journalArticle

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    T1 - Point loading of assemblies of interlocked cube-shaped elements

    AU - Schaare, S.

    AU - Dyskin, Arcady

    AU - Estrin, Y.

    AU - Arndt, S.

    AU - Pasternak, Elena

    AU - Kanel-Belov, A.

    PY - 2008

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    AB - A new concept of assembling layer-like structures from identical convex elements interlocked by virtue of their geometry and spatial arrangement was developed recently. In particular, identical cubes can be arranged in this type of assembly, such that none of them can be removed from the structure. This is achieved through the kinematic constraint imposed by the neighbouring elements, provided that a constraining frame substitutes for neighbours along the periphery of the assembly. We report experimental results and the results of numerical simulation showing that such assemblies exhibit a highly non-linear response to out-of-plane point loads (indentation), in particular a pronounced loading/unloading hysteresis, post-peak softening, a negative stiffness in the stage of unloading and localisation of irreversible rotations. The results of the simulations confirm that the observed unusual mechanical response is an intrinsic, material-independent property of such assemblies. (C) 2008 Elsevier Ltd. All rights reserved.

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