Published in Mechanics in Biology: Proceedings of the 2000 ASME International Mechanical Engineering Congress and Exposition: Orlando, FL, November 5, 2000.
NOTE: At the time of publication, the author Stephen Klisch was not yet affiliated with Cal Poly.
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.
2000 by ASME.
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