Experimental verification of 2D Cosserat chirality with stretch-micro-rotation coupling in orthotropic metamaterials with granular motif

Giorgio, Ivan; Hild, François; Gerami, Emaad; Dell’Isola, Francesco; Misra, Anil

doi:10.1016/j.mechrescom.2022.104020

Cited by 21 publications

(3 citation statements)

References 57 publications

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“…In addition, metamaterials open up new avenues for broadband sound insulation. The results obtained for two-dimensional chiral metamaterials demonstrate the possibility of designing the micromechanical morphology that provides the desired macroscopic behavior [21]. The orthotropic behavior of metamaterials also affects the bearing capacity of related structures, which should meet the requirements for lightness and high rigidity [22].…”

Section: Introductionmentioning

confidence: 83%

Influence of Topological Defects on the Mechanical Response of Unit Cells of the Tetrachiral Mechanical Metamaterial

Akhmetshin,

Iokhim,

Kazantseva

et al. 2023

Designs

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The primary benefit of metamaterials is that their physical and mechanical properties can be controlled by changing the structure geometry. Numerical analysis tools used in this work offer a few advantages over full-scale testing, consisting of an automated process, as well as lower material and time costs. The investigation is concerned with the behavior of unit cells of the tetrachiral mechanical metamaterial under uniaxial compression. The base material is studied within an elastic mathematical model. The influence of topological defects of the unit cell on the metamaterial properties is studied for the first time. Defects, and especially topological defects, play a decisive role in the mechanical behavior of materials and structures. The unit cell without defects reveals orthotropy of properties. Torsion of a cell with a chiral structure is induced by the rotation of all tetrachiral walls, and therefore it is sensitive to the introduction of defects. There are cases of increased torsion as well as of no compression–torsion coupling effect. In the latter case, the unit cell experiences only shear. The effective Young’s modulus is calculated to vary in the range from 23 to 57 MPa for unit cells of different topologies. With the successive introduction of defects in two walls, the studied characteristics increase, correlating with each other. A further increase in the number of defects affects the characteristics in different ways. The introduction of two more defects in the walls decreases torsion and increases Young’s modulus, after which both characteristics decrease. The introduction of topological defects in all walls of the unit cell leads to the orthotropic behavior of the cell with the opposite sign of torsion.

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Section: Introductionmentioning

confidence: 83%

Influence of Topological Defects on the Mechanical Response of Unit Cells of the Tetrachiral Mechanical Metamaterial

Akhmetshin,

Iokhim,

Kazantseva

et al. 2023

Designs

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“…In this paper, we consider a generalized continuum that takes account of the pore deformations as Biot proposed, but in future developments other kind of generalization suited for bone can be considered (second gradient materials (Madeo et al 2013) (Giorgio, dell'Isola, F. & Steigmann 2023) (Ciallella et al 2022), Cosserat materials (Giorgio, I., Hild, F., et al 2022) thermoviscoelastic materials (Giorgio 2022).…”

Section: Discussionmentioning

confidence: 99%

Frequency dependent model for bone remodeling stimulated by harmonic mechanical loading

2023

Preprint

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In this paper, the bone tissue was modeled as a linear viscoelastic material saturated with interstitial fluid. We considered a specific case of harmonic loading and related the mechanical stimuli to the loading frequency. In this way, we could include the inertial effect in the model while not having to deal with the perturbation during each loading period. Two types of mechanical signals were considered: strain energy and dissipation energy. A parametric study revealed the dependency of the two signals on loading frequency and material property. The evolution of the apparent mass density supported the parametric study's findings. Under the three different frequency loadings, the strain energy-stimulated samples experienced identical remodeling scenarios. The samples stimulated with dissipation energy, on the other hand, exhibited a strong frequency dependence. An additional study was performed to investigate the effect of long-term variations in the loading frequency on the remodeling process. This demonstrated the model's capabilities in designing and evaluating load regimes for rehabilitation following a bone injury or bone reconstruction.

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“…Among the microcontinuum theories of elasticity, the Cosserat theory has attracted increasing interest for describing microstructural effects due to chirality of the microstructure [7][8][9]. An extended micropolar theory was ideated to study the chiral effects that arise from coupling between stretching deformations and the microrotation [10][11][12][13]. In Cosserat models, chirality introduces three additional parameters for a total of nine material parameters.…”

Section: Introductionmentioning

confidence: 99%

Explicit Formulas for the Deformation of Chiral Porous Circular Beams in Gradient Thermoelasticity

De Cicco

2024

Symmetry

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Chirality and porosity are characteristic properties of nanostructured materials. Their effects on the mechanical behaviour of structural elements, such as shells, plates and beams, cannot be disregarded. In this paper, we study the thermoelastic deformation of a chiral porous circular beam loaded with an axial force and torque. The beam is also under the action of a constant temperature field. The analytical solution is obtained using the results established in a paper recently published by the Author within the context of the strain gradient theory proposed by Papanicopolous. In the constitutive equations, the chirality is introduced by a material constant parameter and the porosity is described by means of a scalar function. Displacements, microdilatation function, and stress and strain fields are expressed in explicit form and in terms of engineering constants. Explicit formulas of the stiffness of chiral porous circular beams are presented and the effects of right and left chirality are discussed.

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Experimental verification of 2D Cosserat chirality with stretch-micro-rotation coupling in orthotropic metamaterials with granular motif

Cited by 21 publications

References 57 publications

Influence of Topological Defects on the Mechanical Response of Unit Cells of the Tetrachiral Mechanical Metamaterial

Influence of Topological Defects on the Mechanical Response of Unit Cells of the Tetrachiral Mechanical Metamaterial

Frequency dependent model for bone remodeling stimulated by harmonic mechanical loading

Explicit Formulas for the Deformation of Chiral Porous Circular Beams in Gradient Thermoelasticity

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