A Microstructurally Based Orthotropic Hyperelastic Constitutive Law-Reference-Cited by-同舟云学术

A Microstructurally Based Orthotropic Hyperelastic Constitutive Law

Published:2002-08-16 Issue:5 Volume:69 Page:570-579
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Bischoff J. E.¹,Arruda E. A.²,Grosh K.²

Affiliation:

1. Department of Engineering Science, University of Auckland, Auckland, New Zealand

2. Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109-2125

Abstract

A constitutive model is developed to characterize a general class of polymer and polymer-like materials that displays hyperelastic orthotropic mechanical behavior. The strain energy function is derived from the entropy change associated with the deformation of constituent macromolecules and the strain energy change associated with the deformation of a representative orthotropic unit cell. The ability of this model to predict nonlinear, orthotropic elastic behavior is examined by comparing the theory to experimental results in the literature. Simulations of more complicated boundary value problems are performed using the finite element method.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/69/5/570/5469390/570_1.pdf

Reference29 articles.

1. Lanir, Y., and Fung, Y. C., 1974, “Two-Dimensional Mechanical Properties of Rabbit Skin—II: Experimental Results,” J. Biomech., 7, pp. 171–182.

2. Lanir, Y. , 1979, “A Structural Theory for the Homogeneous Biaxial Stress-Strain Relationships in Flat Collagenous Tissues,” J. Biomech., 12, pp. 423–436.

3. Lanir, Y. , 1979, “Biaxial Stress-Strain Relationship in the Skin,” Isr. J. Technol., 17, pp. 78–85.

4. Humphrey, J. D., Strumpf, R. K., and Yin, F. C. P., 1992, “A Constitutive Theory for Biomembranes: Application to Epicardial Mechanics,” ASME J. Biomech. Eng., 114, pp. 461–466.

5. Rodriguez, E. K., Hoger, A., and McCulloch, A. D., 1994, “Stress-Dependent Finite Growth in Soft Elastic Tissues,” J. Biomech., 27(4), pp. 455–467.

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