Pointwise Identification of Elastic Properties in Nonlinear Hyperelastic Membranes—Part II: Experimental Validation

Author:

Zhao Xuefeng1,Chen Xiaolin2,Lu Jia1

Affiliation:

1. Department of Mechanical and Industrial Engineering, Center for Computer Aided Design, The University of Iowa, Iowa City, IA 52242-1527

2. Mechanical Engineering Program, School of Engineering and Computer Science, Washington State University, Vancouver, WA 98686

Abstract

Following the theoretical and computational developments of the pointwise membrane identification method reported in the first part of this paper, we perform a finite inflation test on a rubber balloon to validate the method. The balloon is inflated using a series of pressurized configurations, and a surface mesh that corresponds through all the deformed states is derived using a camera-based three dimensional reconstruction technique. In each configuration, the wall tension is computed by the finite element inverse elastostatic method, and the in-plane stretch relative to a slightly pressurized configuration is computed with the aid of finite element interpolation. Based on the stress-strain characteristics, the Ogden model is employed to describe the material behavior. The elastic parameters at every Gauss point in a selected region are identified simultaneously. To verify the predictive capability of the identified material model, the deformation under a prescribed pressure is predicted using the finite element method and is compared with the physical measurement. The experiment shows that the method can effectively delineate the distributive elastic properties in the balloon wall.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference32 articles.

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3. Computational Methods for Inverse Finite Elastostatics;Govindjee;Comput. Methods Appl. Mech. Eng.

4. Computational Methods for Inverse Deformations in Quasi-Incompressible Finite Elasticity;Govindjee;Int. J. Numer. Methods Eng.

5. Inverse Elastostatic Stress Analysis in Pre-Deformed Biological Structures: Demonstration Using Abdominal Aortic Aneurysm;Lu;J. Biomech.

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