Growth in soft biological tissue and residual stress development

Guillou, A. and Ogden, R.W. (2006) Growth in soft biological tissue and residual stress development. In: Holzapfel, G.A. and Ogden, R.W. (eds.) Mechanics of Biological Tissue. Springer-Verlag: Berlin, pp. 47-62. ISBN 9783540311843 (doi: 10.1007/3-540-31184-X_4)

Abstract

In this paper we summarize a general continuum mechanical theory that takes account of growth in materials capable of large deformations, with particular reference to soft biological tissues such as arterial walls. The material response is elastic at any stage of the growth and the stress depends on the growth. Part of the objective is to relate the growth to the development of residual stress. The theory is applied to a circular cylindrical tube subject to extension and internal pressure when the wall thickness changes as a result of persistent high pressure, and the results are illustrated for a simple example.

• Item Type: Book Sections
• Status: Published
• Glasgow Author(s) Enlighten ID: Ogden, Professor Raymond
• Authors: Guillou, A., and Ogden, R.W.
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Publisher: Springer-Verlag
• ISBN: 9783540311843