Point loading of assemblies of interlocked cube-shaped elements

Schaare, Stephan; Dyskin, Arcady; Estrin, Yuri; Arndt, Stephan; Pasternak, Elena; Kanel-Belov, Alexei

doi:10.1016/j.ijengsci.2008.06.012

Cited by 57 publications

(41 citation statements)

References 15 publications

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“…Dyskin et al (2003a) expanded and generalized this concept, and introduced the term topologically interlocked materials (TIM) for this class of low-dimensional materials created from individual unit elements interacting with each other by contact and embedded within a constraining framework. It has been demonstrated that TIMs can possess attractive mechanical properties including: (i) high damage tolerance (Dyskin et al, 2003b;Khor, 2008;Schaare et al, 2008), (ii) negative stiffness characteristics under certain loading conditions (Estrin et al, 2011;Schaare et al, 2008), (iii) variable stiffness as adjusted by control of constraint (Brugger et al, 2009;Dyskin et al, 2003b), (iv) quasi-ductile response obtained from brittle constituent materials (Dyskin et al, 2001(Dyskin et al, , 2003a and (v) remanufacturability (Mather et al, 2012).…”

Section: Introductionmentioning

confidence: 99%

“…In order to be able to predict the mechanical properties of the proposed hybrid material, predictive models for the prediction of the mechanical behavior are needed. Finite element models have successfully been used to analyze individual TIM configurations (Ashby, 2005;Brugger et al, 2009;Schaare et al, 2008), however, such models only predict the properties of one specific material configuration and are not sufficient when designing materials. One attempt to develop an analytical model for the prediction of the elastic properties of TIMs was undertaken in (Dyskin et al, 2003c).…”

Section: Introductionmentioning

confidence: 99%

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Transverse loading of cellular topologically interlocked materials

Khandelwal

Siegmund

Cipra

et al. 2012

International Journal of Solids and Structures

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a b s t r a c tTopologically interlocked materials (TIMs) are a class of materials made by a structured assembly of an array of identically shaped and sized unit elements that are held in a confining framework. The assembly can resist transverse forces in the absence of adhesives between the unit elements. The present study focuses on topologically interlocked materials with cellular unit elements. The resulting materials achieve their properties by a combination of deformation of the individual unit elements and their contact interaction. Drop tower tests were conducted to characterize the mechanical behavior of the cellular TIMs made of an intrinsically brittle base material. The TIMs were found to exhibit perfect softening, independent of the relative density of the cellular units. The analysis of the experiments revealed a positive correlation between strength and toughness in contrast to more conventional materials. An analytical model for the prediction of the observed material behavior is developed. Model predictions are in agreement with experimental data. The implications of the present findings for the design of these novel materials are discussed.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Transverse loading of cellular topologically interlocked materials

Khandelwal

Siegmund

Cipra

et al. 2012

International Journal of Solids and Structures

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“…Apparent negative stiffness can be exhibited during phase transformations (e.g., Roytburd, 1996) and in unstable regions in deformation of non-linear springs with non-convex energy (e.g., Cardin & Favretti, 2003;Puglisi & Truskinovsky, 2000). Effect of negative stiffness on a structural level is observed in models of single foam cells (Lakes, Rosakis, & Ruina, 1993) and in plate-like interlocking structures of cubic elements constrained by a rigid frame (Estrin et al, 2003;Schaare et al, 2008).…”

Section: Introductionmentioning

confidence: 99%

Elastic composite with negative stiffness inclusions in antiplane strain

Dyskin

Pasternak²

2012

International Journal of Engineering Science

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“…Past work has demonstrated the effect of change of the initial constraint conditions on the TIM system stiffness and load carrying capacity. Schaare et al [33] -employing finite element (FE) simulations --showed that the mechanical resistance of a simulated TIM system was proportional to the constraint conditions. TIM assemblies can be seen as a special class of granular materials.…”

Section: Deshmukh and Mckinleymentioning

confidence: 99%

Adaptive mechanical properties of topologically interlocking material systems

Khandelwal

Siegmund

Cipra

et al. 2015

Smart Mater. Struct.

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ABSTRACT:Topologically interlocked material systems are two-dimensional granular crystals created as ordered and adhesion-less assemblies of unit elements of the shape of platonic solids. The assembly resists transverse forces due to the interlocking geometric arrangement of the unit elements. Topologically interlocked material systems yet require an external constraint to provide resistance under the action of external load.Past work considered fixed and passive constraints only. The objective of the present study is to consider active and adaptive external constraints with the goal to achieve variable stiffness and energy absorption characteristics of the topologically interlocked material system through an active control of the in-plane constraint conditions. Experiments and corresponding model analysis are used to demonstrate control of system stiffness over a wide range, including negative stiffness, and energy absorption characteristics.The adaptive characteristics of the topologically interlocked material system are shown to solve conflicting requirements of simultaneously providing energy absorption while keeping loads controlled.Potential applications can be envisioned in smart structure enhanced response characteristics as desired in shock absorption, protective packaging and catching mechanisms.

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Point loading of assemblies of interlocked cube-shaped elements

Cited by 57 publications

References 15 publications

Transverse loading of cellular topologically interlocked materials

Transverse loading of cellular topologically interlocked materials

Elastic composite with negative stiffness inclusions in antiplane strain

Adaptive mechanical properties of topologically interlocking material systems

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