Material symmetry phase transitions in three-dimensional tensegrity metamaterials

Salahshoor, Hossein; Pal, Raj Kumar; Rimoli, Julián J.

doi:10.1016/j.jmps.2018.07.011

Cited by 25 publications

(8 citation statements)

References 41 publications

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“…In [154], n-dimensional assemblies of tensegrity units were analyzed at different prestress levels; various wave-propagation regimes were shown possible. In [155], it was found that the symmetries of the homogenized elasticity tensor of a tensegrity lattice depend on prestress. In [156], a systematic design framework was proposed for prestress-tunable tensegrity metamaterials, which allows also for the generation of floating-compression TS lattices.…”

Section: Tensegrity Metamaterialsmentioning

confidence: 99%

Seventy years of tensegrities (and counting)

Micheletti

Podio–Guidugli

2022

Arch Appl Mech

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We try to make a long way short by proceeding per exempla from Kenneth Snelson’s sculptures and Richard Buckminster Fuller’s coinage of the term tensegrity to modern tensegrity metamaterials. We document the passage from initial interest in tensegrity frameworks for their visual impact to today’s interest, driven by their peculiar structural performances. In the past seventy years, the early art pieces and roofing structural complexes have been followed by formalization of the principles governing the form-finding property of ‘pure’ tensegrity structures and by engineering hybridization leading to a host of diverse practical applications, such as variable-geometry civil engineering structures, on-earth and in-orbit deployable structures and robots, and finally to recent and promising studies on tensegrity metamaterials and small-scale tensegrity structures.

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Section: Tensegrity Metamaterialsmentioning

confidence: 99%

Seventy years of tensegrities (and counting)

Micheletti

Podio–Guidugli

2022

Arch Appl Mech

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“…Innovative metamaterials and lattices were discussed in [18] with the focus on the geometrically nonlinear behavior of tensegrity prisms with extreme properties. Construction of 3D tensegrity lattices using elementary cells based on the truncated octahedron was discussed in [19] and expanded for phase transition in [20]. The authors in [21] proposed automatically assembled lattices aimed at large-scale applications.…”

Section: Introductionmentioning

confidence: 99%

Towards Recognition of Scale Effects in a Solid Model of Lattices with Tensegrity-Inspired Microstructure

Gilewski

Sabouni-Zawadzka

2021

Solids

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This paper is dedicated to the extended solid (continuum) model of tensegrity structures or lattices. Tensegrity is defined as a pin-joined truss structure with an infinitesimal mechanism stabilized by a set of self-equilibrated normal forces. The proposed model is inspired by the continuum model that matches the first gradient theory of elasticity. The extension leads to the second- or higher-order gradient formulation. General description is supplemented with examples in 2D and 3D spaces. A detailed form of material coefficients related to the first and second deformation gradients is presented. Substitute mechanical properties of the lattice are dependent on the cable-to-strut stiffness ratio and self-stress. Scale effect as well as coupling of the first and second gradient terms are identified. The extended solid model can be used for the evaluation of unusual mechanical properties of tensegrity lattices.

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“…Geometrically nonlinear behavior of uniformly compressed tensegrity prisms with extreme softening/stiffening response is recognized in reference [22] with relation to the design and manufacture of tensegrity lattices and innovative metamaterials. An interesting method to construct 3D tensegrity lattices from truncated octahedron elementary cells was proposed and discussed in reference [23] and extended for phase transition in reference [24]. Various automatically assembled tensegrity lattices were proposed in reference [25] for large scale structures.…”

Section: Introductionmentioning

confidence: 99%

Soft and Stiff Simplex Tensegrity Lattices as Extreme Smart Metamaterials

Sabouni-Zawadzka

Gilewski

2019

Materials

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The present paper is dedicated to an evaluation of novel cellular metamaterials based on a tensegrity pattern. The materials are constructed from supercells, each of which consists of a number of simplex modules with different geometrical proportions. Mechanical properties of the metamaterial can be controlled by adjusting the level of self-equilibrated forces or by changing the properties of structural members. A continuum model based on the equivalence of strain energy of the 3D theory of elasticity with a discrete formulation is used to identify the qualitative properties of the considered metamaterials. The model allows the inclusion of nonlinearities related to the equations of equilibrium in actual configuration of the structure with self-equilibrated set of normal forces typical for tensegrities. The lattices are recognised as extreme metamaterials according to the eigensolution of the equivalent elasticity matrices of the continuum model. The six representative deformation modes are defined and discussed: stiff, soft and medium extensional modes and high (double) as well as low shear modes. The lattices are identified as unimode or nearly bimode according to the classification of extreme materials.

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Material symmetry phase transitions in three-dimensional tensegrity metamaterials

Cited by 25 publications

References 41 publications

Seventy years of tensegrities (and counting)

Seventy years of tensegrities (and counting)

Towards Recognition of Scale Effects in a Solid Model of Lattices with Tensegrity-Inspired Microstructure

Soft and Stiff Simplex Tensegrity Lattices as Extreme Smart Metamaterials

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