For Libraries For Publication Open Access Downloads About Us Contact Us
Paper Titles
A Brief Survey on Artificial Intelligence Methods in Synchronous Motor Control
p.198
Algorithm for Real-Time AI-Based PI Controller in PMSM
p.204
Ultrasonic Machining Aided Tool Rotation of Sintered NdFeB Magnet
p.210
Shop Floor Control Mechanism of Aerospace Machine Shop
p.214
Nonlinear Periodic Oscillations of Micro-Voids in a Class of Incompressible Hyper-Elastic Spheres
p.220
Preparation and Characteristics Analysis of PVA Hydrogel for Substituting Creatural Soft Tissue
p.226
Calculation for Flow Field and Motion of the Missile Capsule in Launching Tube
p.232
Rheological Analysis of Microminiature Powder Injection Molding (μPIM) Feedstock
p.238
Application of Taguchi Method for Parameters Optimization in Micro Metal Injection Molding
p.244

Nonlinear Periodic Oscillations of Micro-Voids in a Class of Incompressible Hyper-Elastic Spheres

Article Preview

Abstract:

The problem of radially symmetric motion is examined for a pre-existing micro-void in the interior of a sphere under a suddenly applied outer surface tensile load, where the sphere is composed of a homogeneous incompressible hyper-elastic material. Through qualitatively analyzing the second-order ordinary differential equation that describes the motion of the pre-existing micro-void with time, some interesting conclusions are proposed. For any given values of surface tensile loads, it is proved that the motion of the pre-existing micro-void with time presents a nonlinear periodic oscillation, however, in certain cases, the oscillation amplitude increases discontinuously with the increasing values of surface tensile loads. Finally, based on the known transversely isotropic incompressible Gent-Thomas material model as an example, numerical simulations are carried out.

You might also be interested in these eBooks
Advances in Mechanical Engineering (ICME) View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volumes 52-54)

Pages:

220-225

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.52-54.220

Citation:

Cite this paper

Online since:

March 2011

Authors:

Miao Miao Cai, Jia Na Meng, Xue Gang Yuan, Da Tian Niu

Keywords:

Dynamic Propertry, Incompressible Hyper-Elastic Material, Nonlinear Periodic Oscillation, Pre-Existing Micro-Void

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

© 2011 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

References

[1] J. M. Ball. Philos Trans Roy Soc Lond Ser A Vol. 306 (1982), p.557.

Google Scholar

[2] C. O. Horgan, R. Abeyaratne. J. Elasticity Vol. 16 (1986), p.189.

Google Scholar

[3] M. –S Chou-Wang, C. O. Horgan. Int. J. Eng. Sci. Vol. 27 (1989), p.967.

Google Scholar

[4] X. C. Shang, C. J. Cheng, Int. J. Engin. Sci. Vol. 39 (2001), p.1101.

Google Scholar

[5] X. G. Yuan, Z. Y. Zhu, C. J. Cheng. J. Engin. Math. Vol. 51 (2005), p.1.

Google Scholar

[6] N. Roussos, D.P. Mason. Commu. Non. Sci. Num. Simu. vol. 10 (2005), p.139.

Google Scholar

[7] X. G. Yuan, Z. Y. Zhu, C. J. Cheng. Int. J. Nonlinear Mech. Vol. 42 (2007), p.442.

Google Scholar

[8] X.G. Yuan, H.W. Zhang. Computer Modeling in Engineering & Sciences vol. 32 (2008), p.175.

Google Scholar

[9] A. N. Gent, J. Thomas. Polym. Sci. Vol. 28 (1958), p.625.

Google Scholar

© 2025 Trans Tech Publications Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies. For open access content, terms of the Creative Commons licensing CC-BY are applied.
Scientific.Net is a registered trademark of Trans Tech Publications Ltd.