Abstract

In this paper we present a model of growth for cartilaginous tissues in which there exists a saturated solid matrix composed of multiple constituents that may grow and remodel independently of each other. Klisch and Hoger recently developed a general theory of volumetric growth for a mixture of ν-1 growing elastic materials and an inviscid fluid, which included a treatment of two special types of internal constraints that are relevant to cartilage. Here, that theory is specialized to construct a cartilage growth model. This theory allows the constituents of the solid matrix to grow independently of each other, and can model the evolution of the constituent pre-stresses and the tissue’s mechanical properties during developmental growth and degeneration. A simple example is presented which illustrates these features of the theory.

Disciplines

Biomechanical Engineering

Publisher statement

Please contact ASME at permissions@asme.org for permission to reuse this article. Publisher website: http://store.asme.org.

Share

COinS
 

URL: https://digitalcommons.calpoly.edu/meng_fac/6