全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

A Simplified Nonlinear Generalized Maxwell Model for Predicting the Time Dependent Behavior of Viscoelastic Materials

DOI: 10.4236/wjm.2011.13021, PP. 158-167

Keywords: Hyperlogistic-Type Function, Maxwell Model, Nonlinear Stress-Time Relationship, Riccati Equation, Viscoelasticity

Full-Text   Cite this paper   Add to My Lib

Abstract:

In this paper, a simple nonlinear Maxwell model consisting of a nonlinear spring connected in series with a nonlinear dashpot obeying a power-law with constant material parameters, for representing successfully the time-dependent properties of a variety of viscoelastic materials, is proposed. Numerical examples are performed to illustrate the sensitivity of the model to material parameters.

References

[1]  T. Alfrey and P. Doty, “The Methods of Specifying the Properties of Viscoelastic Materials,” Journal of Applied Physics, Vol. 16, No. 11, 1945, pp. 700-713. doi:10.1063/1.1707524
[2]  R. Chotard-Ghodsnia and C. Verdier, “Rheology of Living Materials,” In: F. Mollica, L. Preziosi and K. R. Rajagopal, Eds., Modeling of Biological Materials, Springer, New York, 2007, pp. 1-31. doi:10.1007/978-0-8176-4411-6_1
[3]  D. T. Corr, M. J. Starr, R. Vanderby, Jr and T. M. Best, “A Nonlinear Generalized Maxwell Fluid Model for Viscoelastic Materials,” Journal of Applied Mechanics, Vol. 68, No. 5, 2001, pp. 787-790. doi:10.1115/1.1388615
[4]  M. D. Monsia, “Lambert and Hyperlogistic Equations Models for Viscoelastic Materials: Time-Dependent Analysis,” International Journal of Mechanical Engineering, Serials Publications, New Delhi, India, January-June 2011.
[5]  M. D. Monsia, “A Hyperlogistic-Type Model for the Prediction of Time-Dependent Nonlinear Behavior of Viscoelastic Materials,” International Journal of Mechanical Engineering, Serials Publications, New Delhi, India, January-June 2011.
[6]  M. D. Monsia, “A Nonlinear Generalized Standard Solid Model for Viscoelastic Materials,” International Journal of Mechanical Engineering, Serials Publications, New Delhi, India, January-June 2011.
[7]  M. D. Monsia, “A Modified Voigt Model for Nonlinear Viscoelastic Materials,” International Journal of Mechanical Engineering, Serials Publications, New Delhi, India, January-June 2011.
[8]  M. D. Monsia, “A Nonlinear Generalized Four-parameter Voigt Model for Viscoelastic Materials,” International Journal of Mechanical Engineering, Serials Publications, New Delhi, India, July-December 2011.
[9]  C. Debouche, “Présentation Coordonnée de Différents Modèles de Croissance, ” Revue de Statistique Appliquée, Vol. 27, No. 4, 1979, pp. 5-22. http://www.numdam.org/item?id=RSA_1979_27_4_5_0>
[10]  O. Garcia, “Unifying Sigmoid Univariate Growth Equations,” Forest Biometry, Modelling and Information Sciences, Vol. 1, 2005, pp. 63-68. http://www.fbmis.info/A/5.1.GarciaO.1.pdf

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133