Anisotropy in hypoelastic soft-tissue mechanics, I: Theory

Freed, Alan

doi:10.2140/jomms.2008.3.911

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

Subscriptions

ISSN 1559-3959 (online)

ISSN 1559-3959 (print)

Author index

To appear

Other MSP journals

Anisotropy in hypoelastic soft-tissue mechanics, I: Theory

Alan David Freed

Vol. 3 (2008), No. 5, 911–928

DOI: 10.2140/jomms.2008.3.911

Abstract

A hypoelastic constitutive theory is derived with an eye towards modeling the passive response of soft anisotropic biological tissues. Anisotropy is handled through a material tensor whose construction is independent of the constitutive formulation. Anisotropy tensors are provided for tissues that have a single dominant fiber family with an elliptic fiber projection onto the transverse plane, and their limiting cases. The tissue is comprised of two constituents: a matrix phase and a fiber phase. The theory is derived in the polar configuration, for ease of handling the derivatives, and then mapped into the commonly used Eulerian configuration. Kirchhoff stress and its conjugate strain-rate are the state variables.

Keywords

anisotropy, finite deformations, hypoelasticity, polar configuration, polar rates, polar strain, polar stress, soft tissue, spin, swirl, vorticity

Milestones

Received: 9 January 2008

Revised: 21 March 2008

Accepted: 5 April 2008

Published: 1 July 2008

Authors

Alan David Freed
202 Pioneer Hall Saginaw Valley State University University Center, MI 48710 United States

Vol. 3, No. 5, 2008

Alan David Freed

Abstract

Keywords

Milestones

Authors