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Mathematical Models and Finite Element Approaches for Nanosized Piezoelectric Bodies with Uncoulped and Coupled Surface Effects Read chapter Read first chapter

2017 | OriginalPaper | Chapter

A Review on Models for the 3D Statics and 2D Dynamics of Pantographic Fabrics

Authors : Emilio Barchiesi, Luca Placidi

Published in: Wave Dynamics and Composite Mechanics for Microstructured Materials and Metamaterials

Publisher: Springer Singapore

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Abstract

A review on models for the statics of out-of-plane deformable pantographic fabrics is presented, along with a model describing the dynamics of in-plane-only deformable pantographic fabrics. We discuss those models able to describe the mechanical exotic properties conferred by the peculiar microstructure possessed by pantographic metamaterials, when three-dimensional deformations and in-plane dynamics are separately involved. For each approach, model formulation and modelling assumptions are discussed along with the presentation of numerical solutions in exemplary cases, and no attempt is made to model damage and failure phenomena.

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previous chapter Spectral Properties of Nanodimensional Piezoelectric Bodies with Voids and Surface Effects
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Metadata
Title
A Review on Models for the 3D Statics and 2D Dynamics of Pantographic Fabrics
Authors
Emilio Barchiesi
Luca Placidi
Copyright Year
2017
Publisher
Springer Singapore
Book
Wave Dynamics and Composite Mechanics for Microstructured Materials and Metamaterials

Print ISBN: 978-981-10-3796-2

Electronic ISBN: 978-981-10-3797-9

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-981-10-3797-9_14

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