Point loading of assemblies of interlocked cube-shaped elements

S. Schaare; A. V. Dyskin; Y. Estrin; S. Arndt; E. Pasternak; A. Kanel-Belov

doi:10.1016/j.ijengsci.2008.06.012

Point loading of assemblies of interlocked cube-shaped elements

S. Schaare, A. V. Dyskin, Y. Estrin, S. Arndt, E. Pasternak, A. Kanel-Belov

Research output: Contribution to journal › Article › peer-review

65 Scopus citations

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.

Original language	English
Pages (from-to)	1228-1238
Number of pages	11
Journal	International Journal of Engineering Science
Volume	46
Issue number	12
DOIs	https://doi.org/10.1016/j.ijengsci.2008.06.012
State	Published - Dec 2008
Externally published	Yes

Bibliographical note

Funding Information:
Support from the DFG through Grant ES-74/10 is acknowledged. The authors also acknowledge the assistance of Prof. N. Müller and Mr. D. Trenke who produced the frame used in the experiments reported. Also, support from the Australian Research Council through the Discovery Grants DP0559737 (AVD) and DP0773839 (EP) is acknowledged.

Funding

Support from the DFG through Grant ES-74/10 is acknowledged. The authors also acknowledge the assistance of Prof. N. Müller and Mr. D. Trenke who produced the frame used in the experiments reported. Also, support from the Australian Research Council through the Discovery Grants DP0559737 (AVD) and DP0773839 (EP) is acknowledged.

Funders	Funder number
Australian Research Council	DP0559737, DP0773839
Deutsche Forschungsgemeinschaft	ES-74/10

Keywords

Negative stiffness
Point loading
Post-peak softening
Topological interlocking

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10.1016/j.ijengsci.2008.06.012

Cite this

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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.",

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AU - Arndt, S.

AU - Pasternak, E.

AU - Kanel-Belov, A.

N1 - Funding Information: Support from the DFG through Grant ES-74/10 is acknowledged. The authors also acknowledge the assistance of Prof. N. Müller and Mr. D. Trenke who produced the frame used in the experiments reported. Also, support from the Australian Research Council through the Discovery Grants DP0559737 (AVD) and DP0773839 (EP) is acknowledged.

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Point loading of assemblies of interlocked cube-shaped elements

Abstract

Bibliographical note

Funding

Keywords

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