Bistability in thermomechanical metamaterials structured as three-dimensional composite tetrahedra

Klein, John T.; Karpov, Eduard G.

doi:10.1016/j.eml.2019.100459

Cited by 11 publications

(6 citation statements)

References 19 publications

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“…In the context of multistability the index can for example be used for the geometric layouting of unit-cells/building-blocks of periodic metamaterials (e.g. [18,44,58,8,27]) and origami structures (e.g. hypar tessellation [31], waterbomb cylinder tessellation [10] or the Kresling pattern with a circular arrangement to closed strips, which correspond to snapping antiprisms [53] and can be composed to cylindrical towers [28,5,30], or a helical arrangement according to C.R.…”

Section: Discussionmentioning

confidence: 99%

“…Beside the above reviewed mathematical studies on snapping structures, there are also the following application driven approaches. The snapping behavior of structures is studied by (1) numerical simulations based on (a) finite element methods [44,18,58] or (b) force method approaches like [16] or a generalized displacement control method [10,31,30], (2) theoretical approaches based on the variation of the total potential energy [58,25,27,8].…”

Section: Review and Outlinementioning

confidence: 99%

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Snappability and singularity-distance of pin-jointed body-bar frameworks

Nawratil¹

2021

Preprint

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It is well-known that there exist rigid frameworks whose physical models can snap between different realizations due to non-destructive elastic deformations of material. We present a method to measure these snapping capability based on the total elastic strain energy density of the framework by using the physical concept of Green-Lagrange strain. As this so-called snappability only depends on the intrinsic framework geometry, it enables a fair comparison of pin-jointed body-bar frameworks, thus it can serve engineers as a criterion within the design process either to avoid snapping phenomena (e.g. truss structures) or to utilize them (e.g. multistable materials).Moreover, it turns out that the value obtained from this intrinsic pseudometric also gives the distance to the closest shaky configuration in the case of isostatic frameworks. Therefore it is also of use for the kinematics community, which is highly interested in the computation of these singularity-distances for diverse mechanical devices. In more detail we study this problem for parallel manipulators of Stewart-Gough type.

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Section: Discussionmentioning

confidence: 99%

Section: Review and Outlinementioning

confidence: 99%

Snappability and singularity-distance of pin-jointed body-bar frameworks

Nawratil¹

2021

Preprint

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“…Materials science and mechanics have also witnessed a number of important developments, some of which are of a fundamental nature, such as the verification, through models and experiments, that materials need not get thinner when stretched . This has led to the coining of new terms to describe these new systems, such as “auxetic” (from the Greek word auxetikos , a term coined by Kenneth E. Evans, to describe systems which exhibit a negative Poisson's ratio), “metamaterials” or “mechanical metamaterials,” a testimony of the growth of this and related fields . Suffice to mention that 2019 marks the 15th anniversary of the first of the “Auxetics and Related Systems” international meeting held near Poznan Poland, an initiative of Professor Krzysztof Witold Wojciechowski, which has now become the most important annual gathering for scientists working in this field and has led to numerous specialized publications …”

Section: Introductionmentioning

confidence: 99%

Smart Honeycomb “Mechanical Metamaterials” with Tunable Poisson's Ratios

Grima‐Cornish

Cauchi

Attard

et al. 2020

Physica Status Solidi (b)

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Mechanical metamaterials represent a class of deformable systems, which exhibit macroscopic deformations, mechanical, and/or thermal properties. These emerge due to the structure of their subunits rather than their materials composition and typically exhibit anomalous (normally negative) macroscopic structural, mechanical, or thermal property/properties caused by a change in shape/size of the system. Herein, a class of honeycombs is discussed, which push to the extreme the classical definition of “mechanical metamaterials,” exhibiting temperature‐tunable Poisson's ratio properties. More specifically, centrosymmetric honeycombs with T‐shaped joints constructed from different materials are shown to exhibit temperature‐dependent Poisson's ratio values, which can be either positive or negative (auxetic) depending on the external stimulus the system is subjected to. The sign and magnitudes of the Poisson's ratio values are explained in terms of particular geometries that these composite honeycomb systems attain at different temperature conditions. In particular, auxeticity is attributed to the transformation of the T‐shaped units to re‐entrant units. Practical aspects on how these properties may be achieved are discussed, including the possibility that the changes in shape, and hence Poisson's ratios, are induced via different extents of dryness on opposite surfaces of ligaments made from absorbent materials.

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“…Many interesting properties and behaviors are realized from bistable unit cell designs in periodic metamaterials, including highly efficient energy damping and trapping [22,23], negative stiffness [24], negative incremental compressibility [25][26][27][28], and extensibility [29,30]. Other studies of materials with engineered internal structure showed opportunities for a Saint-Venant's edge effect reversal [31], strain energy control and redirection by demand [32][33][34], loss of reciprocity of materials deformation [35], and the negative thermal expansion phenomenon [36][37][38][39][40]. Harnessing these advanced behaviors could enable many exciting solutions in architecture, energy systems, manufacturing industry, transportation, and other areas.…”

Section: Introduction and Materials System Definitionmentioning

confidence: 99%

Analysis of Antichiral Thermomechanical Metamaterials with Continuous Negative Thermal Expansion Properties

2020

Self Cite

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Negative thermal expansion is an interesting and appealing phenomenon for various scientific and engineering applications, while rarely occurring in natural materials. Here, using a universal antichiral metamaterial model with bimetal beams or strips, a generic theory has been developed to predict magnitude of the negative thermal expansion effect from model parameters. Thermal expansivity of the metamaterial is written as an explicit function of temperature and only three design parameters: relative node size, chirality angle, and a bimetal constant. Experimental measurements follow theoretical predictions well, where thermal expansivity in the range of negative 0.0006–0.0041 °C−1 has been seen.

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Bistability in thermomechanical metamaterials structured as three-dimensional composite tetrahedra

Cited by 11 publications

References 19 publications

Snappability and singularity-distance of pin-jointed body-bar frameworks

Snappability and singularity-distance of pin-jointed body-bar frameworks

Smart Honeycomb “Mechanical Metamaterials” with Tunable Poisson's Ratios

Analysis of Antichiral Thermomechanical Metamaterials with Continuous Negative Thermal Expansion Properties

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