Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-02T20:25:05.660Z Has data issue: false hasContentIssue false
  • English
  • Français

Viscoelastic Behavior of a Centrally Loaded Circular Film Being Clamped at the Circumference

Published online by Cambridge University Press:  01 February 2011

Michelle L Oyen ,
Kuo-kang Liu  and
Kai-tak Wan
Michelle L Oyen
Affiliation:
[email protected], Cambridge University, Engineering Department, Trumpington St, Cambridge, CB2 1PZ, United Kingdom
Kuo-kang Liu
Affiliation:
[email protected], Keele University, ISTM School of Medicine, Stoke-on-Trent, ST4 7QB UK, United Kingdom
Kai-tak Wan
Affiliation:
[email protected], Northeastern University, Mechanical and Industrial Eng, 360 Huntington Ave, Boston, MA, 02115, United States
Get access

Abstract

A new theoretical model is constructed for the viscoelastic response of a clamped circular membrane deformed by a spherical indenter, using the classical Maxwell and Standard Linear Solid (SLS) constitutive equations. Preliminary stress-relaxation experiments are performed for a hydrogel membrane and the corresponding data fitted to the SLS-based viscoelastic model.

Keywords

viscoelasticitythin filmstress/strain relationship
Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 1049: Symposium AA – Fundamentals of Nanoindentation and Nanotribology IV , 2007 , 1049-AA07-08-OO08-08
Copyright
Copyright © Materials Research Society 2008

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1 KT, Wan, Guo, S, DA, Dillard, “A theoretical and numerical study of a thin clamped circular film under an external load in the presence of tensile residual stress”, Thin Solid Films 425, 150–162 (2003).Google Scholar
2 KT, Wan, YW, Mai, “Fracture mechanics of a shaft-loaded blister of thin flexible membrane on rigid substrate”, International Journal of Fracture 74, 181–197 (1995).Google Scholar
3 KK, Liu, KT, Wan, “Multi-scale mechanical characterization of a freestanding polymer film using indentation”, submitted (2007).Google Scholar
4 GT, Mase and GE, Mase: Continuum Mechanics for Engineers, 2nd Ed., CRC, Boca Raton, FL, 1999.Google Scholar
5 KL, Johnson, Contact Mechanics. Cambridge University Press, UK, 1985.Google Scholar
6 ML, Oyen, “Analytical Techniques for Indentation of Viscoelastic Materials”, Philosophical Magazine 86 [33-35], 5625–5641, 2006.Google Scholar
7 JM, Mattice, AG, Lau, ML, Oyen, RW, Kent, “Spherical Indentation Load-Relaxation of Soft Biological Tissues”, Journal of Materials Research 21, 2003–10 (2006).Google Scholar
8 ML, Oyen, “Spherical Indentation Creep Following Ramp Loading”, Journal of Materials Research 20, 2094–2100 (2005).Google Scholar
9 ML, Oyen, AJ, Bushby, Viscoelastic Effects in Small-Scale Indentation of Biological Materials. International Journal of Surface Science and Engineering 1, 180–197 (2007).Google Scholar
10 JL, Drury, RG, Dennis, Mooney, D J, “The tensile properties of alginate hydrogels”, Biomaterials 25, 3187–3199 (2004).Google Scholar