Analysis of Bloch’s Method in Structures with Energy Dissipation

Farzbod, Farhad; Leamy, Michael J.

doi:10.1115/1.4003943

Cited by 56 publications

(18 citation statements)

References 35 publications

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“…Viscoelastic material behavior is often represented by mechanical spring-dashpot models (Section A2.1, Supporting Information). Here, we apply the models commonly used in the studies on viscoelastic phononic materials [25][26][27][30][31][32][33]35,36,62] to approximate the master curves of PMMA (Figure 1c) around the β transition zone. The goal is to estimate the accuracy of these models.…”

Section: Fitting Experimental Master Curvesmentioning

confidence: 99%

Dissipative Dynamics of Polymer Phononic Materials

Krushynska

Gliozzi

Fina

et al. 2021

Adv Funct Materials

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Phononic materials are artificial composites with unprecedented abilities to control acoustic waves in solids. Their performance is mainly governed by their architecture, determining frequency ranges in which wave propagation is inhibited. However, the dynamics of phononic materials also depends on the mechanical and material properties of their constituents. In the case of viscoelastic constituents, such as most polymers, it is challenging to correctly predict the actual dynamic behavior of real phononic structures. Existing studies on this topic either lack experimental evidence or are limited to specific materials and architectures in restricted frequency ranges. A general framework is developed and employed to characterize the dynamics of polymer phononic materials with different architectures made of both thermoset and thermoplastic polymers, presenting qualitatively different viscoelastic behaviors. Through a comparison of experimental results with numerical predictions, the reliability of commonly used elastic and viscoelastic material models is evaluated in broad frequency ranges. Correlations between viscous effects and the two main band-gap formation mechanisms in phononic materials are revealed, and experimentally verified guidelines on how to correctly predict their dissipative response are proposed in a computationally efficient way. Overall, this work provides comprehensive guidelines for the extension of phononics modeling to applications involving dissipative viscoelastic materials.

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Section: Fitting Experimental Master Curvesmentioning

confidence: 99%

Dissipative Dynamics of Polymer Phononic Materials

Krushynska

Gliozzi

Fina

et al. 2021

Adv Funct Materials

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“…Leveraging the periodic nature of the Configuration A assembly, the mechanical instability in the unfoldable Z ‐direction was explored by employing the Bloch–Floquet formalism [ 27,28 ] (Section SI, Supporting Information: Bloch Analysis) implemented using the commercial finite element code ABAQUS with appropriate RVE following well‐established procedures. [ 28–31,33 ] All Bloch simulations were conducted employing first order quadrilateral and triangular shell elements (ABAQUS element types S4R and S3) with five integration points through the thickness. Following mesh convergence studies, the average element size was established at 0.5 µm.…”

Section: Methodsmentioning

confidence: 99%

Folding at the Microscale: Enabling Multifunctional 3D Origami‐Architected Metamaterials

Lin

Novelino

Wei

et al. 2020

Small

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Mechanical metamaterials inspired by the Japanese art of paper folding have gained considerable attention because of their potential to yield deployable and highly tunable assemblies. The inherent foldability of origami structures enlarges the material design space with remarkable properties such as auxeticity and high deformation recoverability and deployability, the latter being key in applications where spatial constraints are pivotal. This work integrates the results of the design, 3D direct laser writing fabrication, and in situ scanning electron microscopic mechanical characterization of microscale origami metamaterials, based on the multimodal assembly of Miura‐Ori tubes. The origami‐architected metamaterials, achieved by means of microfabrication, display remarkable mechanical properties: stiffness and Poisson’s ratio tunable anisotropy, large degree of shape recoverability, multistability, and even reversible auxeticity whereby the metamaterial switches Poisson’s ratio sign during deformation. The findings here reported underscore the scalable and multifunctional nature of origami designs, and pave the way toward harnessing the power of origami engineering at small scales.

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“…According to the BlochFloquet theorem [40], the boundary conditions satisfy the following equations:…”

Section: Bloch Analysis Methodsmentioning

confidence: 99%