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1 Acta of Bioengineering and Biomechanics

1 2005

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2D rheological models for stress relaxation and creep in living soft tissues

Kobelev A. V., Kobeleva R. M., Protsenko Y. L.

Acta of Bioengineering and Biomechanics

2005

Vol. 7, nr 1

23-34

Identified rheological 2D models of myocardium proposed earlier by us to analyze static 'forcedeformation" curves and ąuasi-static hysteresis loops are used to describe stress relaxation and creep in a wide range of living soft tissues, beginning with myocite level and up to the muscle fibers. The viscous properties are determined with the help of the dampers connected in series or in parallel to certain elastic primary elements of the models. The stress response functions of the models are found for the external longitudinal step-wise or pulse (colurnn-like) stretching. The inverse response functions of the longitudinal displacement for the external stress loading of the pulse shape time dependencies are also found. The values of both elastic modules, as in the static case. and also viscous coefficients are esrimated by comparing theoretical curves of relaxation, creep and recovery with the experirnental data. The latter are obtained on rather different objects, passive muscles preparations (the stress relaxation response) and endothelium cells (the creep response). It IS stated that 2D models proposed appear to be too generał to describe nonlinear relaxation and creep properties. which are lacking the traditionally used ID ones without essential modification of those models.