Mechanical characterization of hyperelastic polydimethylsiloxane by simple shear test

Abstract Polydimethylsiloxane (PDMS) is a commercially silicone rubber widely used in mechanical sensors, electronic products and medical devices. This paper describes and analyzes the mechanical behavior of polymer PDMS under large shear deformations. The goal of this work is to estimate experimentally the angular distortions associated with different applied forces, considering a simple shear test based on single lap joints. The experimental procedure to obtain the displacement field is carried out using the digital image correlation (DIC) method, which is an optical-numerical experimental approach developed for full-field and non-contact measurements. The material parameters, associated with classical Mooney-Rivlin model, are estimated from experimental data by means of Levenberg-Marquardt method. Furthermore, due to nonlinear stress–strain behavior observed in experimental data, it is proposed a new nonlinear model and two new parameters are determined in the same way.

[1]  Cem Topkaya,et al.  TEST METHOD FOR DETERMINING THE SHEAR MODULUS OF ELASTOMERIC BEARINGS , 2002 .

[2]  Oscar Lopez-Pamies,et al.  A new I1-based hyperelastic model for rubber elastic materials , 2010 .

[3]  Philip E. Gill,et al.  Practical optimization , 1981 .

[4]  R. Ogden.  Non-Linear Elastic Deformations , 1984 .

[5]  L. Nunes.  Shear modulus estimation of the polymer polydimethylsiloxane (PDMS) using digital image correlation , 2010 .

[6]  Ya-Pu Zhao,et al.  Deformation of PDMS membrane and microcantilever by a water droplet: comparison between Mooney-Rivlin and linear elastic constitutive models. , 2009, Journal of colloid and interface science.

[7]  Gyujei Lee,et al.  Characterization of elastic modulus and work of adhesion in elastomeric polymers using microinstrumented indentation technique , 2008 .

[8]  Evelyne Toussaint,et al.  A new characterisation method for rubber , 2009 .

[9]  L. Treloar,et al.  Stress-strain data for vulcanised rubber under various types of deformation , 1944 .

[10]  Ryutaro Maeda,et al.  3D replication using PDMS mold for microcoil , 2009 .

[11]  M. Boyce,et al.  Constitutive models of rubber elasticity: A review , 2000 .

[12]  Patrizio Neff,et al.  Simple shear in nonlinear Cosserat elasticity: bifurcation and induced microstructure , 2009 .

[13]  J. K. Spelt,et al.  Analytical models of adhesively bonded joints—Part I: Literature survey , 2009 .

[14]  Stress—Strain Curves of Rubbers in Simple Shear , 1964 .

[15]  Jean-Claude Michel,et al.  Second-order estimate of the macroscopic behavior of periodic hyperelastic composites: theory and experimental validation , 2004 .

[16]  W. F. Riley,et al.  Experimental stress analysis , 1978 .

[17]  Shung-Wen Kang,et al.  Fabrication of polydimethylsiloxane (PDMS) pulsating heat pipe , 2009 .

[18]  David L Kaplan,et al.  Silk film biomaterials for cornea tissue engineering. , 2009, Biomaterials.

[19]  Hyper-elastic constitutive equations of conjugate stresses and strain tensors for the Seth-Hill strain measures , 2002 .

[20]  Grégory Chagnon,et al.  Mechanical experimental characterisation and numerical modelling of an unfilled silicone rubber , 2008 .

[21]  K. Karimi,et al.  On the analysis of simple shear problem using the micro-polar hypoelasticity Cosserat theory , 2010 .

[22]  Mario M. Attard,et al.  Hyperelastic constitutive modeling under finite strain , 2004 .

[23]  J. L. Dournaux,et al.  Full-field measurement technique and its application to the analysis of materials behaviour under plane strain mode , 2009 .

[24]  Ajit Khosla,et al.  Preparation, characterization and micromolding of multi-walled carbon nanotube polydimethylsiloxane conducting nanocomposite polymer , 2009 .

[25]  Gerhard A. Holzapfel,et al.  Nonlinear Solid Mechanics: A Continuum Approach for Engineering Science , 2000 .

[26]  正木 信夫,et al.  HANDBOOK OF Signal Processing in Acoustics(全2巻), David Havelock, Sonoko Kuwano, Michael Vorlander (Editors), Springer Science+Business Media, LLC, New York, 2009年, 1,950頁 , 2010 .

[27]  Kenneth Levenberg.  A METHOD FOR THE SOLUTION OF CERTAIN NON – LINEAR PROBLEMS IN LEAST SQUARES , 1944 .

[28]  D. Marquardt.  An Algorithm for Least-Squares Estimation of Nonlinear Parameters , 1963 .

[29]  D. Amodio,et al.  Characterization of hyperelastic rubber-like materials by biaxial and uniaxial stretching tests based on optical methods , 2008 .

[30]  Tibi Beda,et al.  Modeling hyperelastic behavior of rubber: A novel invariant-based and a review of constitutive models , 2007 .

[31]  M. Mooney.  A Theory of Large Elastic Deformation , 1940 .

[32]  Dermot Diamond,et al.  Performance characteristics of a polypyrrole modified polydimethylsiloxane (PDMS) membrane based microfluidic pump , 2008 .