An analytical model to predict material gradient and anisotropy in bamboo

An analytical model to predict material gradient and anisotropy in bamboo Heterogeneity and anisotropy are two important features of biological materials, such as bone in animals, trunk of wood, and culm of bamboo. Both material heterogeneity and anisotropy have their particular biological functions and are formed through a complex and systematic biochemical process. In this paper, we intend to use a simple mechanical theory—the elastic growth theory—to predict these two features that are widely observed in bamboo. The theory assumes that the deformation gradient tensor is composed of two parts: one related to volumetric growth and the other corresponding to deformation. The analysis is carried out for a two-layered hollow cylinder model, which captures the main geometric characteristic of the cross-section of bamboo culm. Though the problem is nonlinear, we are able to derive exact and explicit expressions for the stresses and displacements in both layers. It is shown that, due to the volumetric growth, a residual stress field and elastic deformation are induced in the structure, which in turn leads to an equivalent and macroscopic material gradient and anisotropy. Numerical examples are considered to confirm the validity of the theoretical model and to perform a parametric study. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mechanica Springer Journals

An analytical model to predict material gradient and anisotropy in bamboo

Loading next page...
 
/lp/springer_journal/an-analytical-model-to-predict-material-gradient-and-anisotropy-in-ZRj1009sEi
Publisher
Springer Vienna
Copyright
Copyright © 2015 by Springer-Verlag Wien
Subject
Engineering; Theoretical and Applied Mechanics; Classical and Continuum Physics; Continuum Mechanics and Mechanics of Materials; Structural Mechanics; Vibration, Dynamical Systems, Control; Engineering Thermodynamics, Heat and Mass Transfer
ISSN
0001-5970
eISSN
1619-6937
D.O.I.
10.1007/s00707-015-1514-0
Publisher site
See Article on Publisher Site

Abstract

Heterogeneity and anisotropy are two important features of biological materials, such as bone in animals, trunk of wood, and culm of bamboo. Both material heterogeneity and anisotropy have their particular biological functions and are formed through a complex and systematic biochemical process. In this paper, we intend to use a simple mechanical theory—the elastic growth theory—to predict these two features that are widely observed in bamboo. The theory assumes that the deformation gradient tensor is composed of two parts: one related to volumetric growth and the other corresponding to deformation. The analysis is carried out for a two-layered hollow cylinder model, which captures the main geometric characteristic of the cross-section of bamboo culm. Though the problem is nonlinear, we are able to derive exact and explicit expressions for the stresses and displacements in both layers. It is shown that, due to the volumetric growth, a residual stress field and elastic deformation are induced in the structure, which in turn leads to an equivalent and macroscopic material gradient and anisotropy. Numerical examples are considered to confirm the validity of the theoretical model and to perform a parametric study.

Journal

Acta MechanicaSpringer Journals

Published: Dec 26, 2015

References

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Search

Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly

Organize

Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.

Access

Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

DeepDyve

Freelancer

DeepDyve

Pro

Price

FREE

$49/month
$360/year

Save searches from
Google Scholar,
PubMed

Create lists to
organize your research

Export lists, citations

Read DeepDyve articles

Abstract access only

Unlimited access to over
18 million full-text articles

Print

20 pages / month

PDF Discount

20% off