Determination of suitable hyper elastic material model through non-linear regression analysis

The material behaviour of elastomers can be simulated through Strain Energy Density (SED) function which can be defined by the following hyper plastic material models: (i) Neo-Hookean, (ii) Mooney-Rivlin, (iii) Yeoh and (iv) Ogden. The stress-strain relations of the above-mentioned SED functions for uni-axial tension, planar (pure shear) tension and equi-biaxial tension are validated with Treloar's data. Different combinations of Treloar's data are used to determine the co-efficient of SED functions of the above said models. These co-efficient values are determined using the software like ANSYS, MATLAB and POLYMATH and the validation of the results is carried out based on sum of squared error (SSE) which is calculated between the experimental values and predicted values. From the result, it is found that SSE less than 5 and closer to 0 can be taken as good prediction for selection of material model and co-efficient of material models. The engineering stress-strain behaviour of synthetic rubber (NBR) is obtained experimentally from uni-axial tension test and the co-efficient of SED functions are determined.

• Record URL:
  • https://doi.org/10.4273/ijvss.9.5.03
• Record URL:
  • http://www.maftree.org/eja/index.php/ijvss/article/view/901
• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/09753060
• Supplemental Notes:
  • © 2017. MechAero Foundation for Technical Research & Education Excellence.
• Authors:
  • Kamalakannan, D
  • Baskar, V Arun
  • Prabu, B
• Publication Date: 2017

Language

• English

Media Info

• Media Type: Web
• Features: References;
• Pagination: pp 280-283
• Serial:
  • International Journal of Vehicle Structures and Systems
  • Volume: 9
  • Issue Number: 5
  • Publisher: MechAero Foundation for Technical Research & Education Excellence
  • ISSN: 0975-3060
  • EISSN: 0975-3540
  • Serial URL: http://www.maftree.org/eja/index.php/ijvss/index

Subject/Index Terms

• TRT Terms: Deformation curve; Elastomers; Mathematical models; Mechanical elasticity; Regression analysis; Synthetic rubber
• Uncontrolled Terms: Hyperelasticity
• Subject Areas: Highways; Materials;

Filing Info

• Accession Number: 01670758
• Record Type: Publication
• Files: TRIS
• Created Date: May 29 2018 4:03PM