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Properties of rheological models with distributed parameters

Publication at Faculty of Pharmacy in Hradec Králové |
2010

Abstract

Correct analysis of loading in biological systems is fundamental task in biomechanics. Biological mechanical systems are dynamically loaded heterogeneous structures.

Adequate models should provide information on time domain changes of strains and stresses in different locations. Classical rheological models do not provide tool for realistic solution of this task, as real biological bodies are systems with distributed parameters (DP) and inertial forces effect the dynamics of theirs mechanical behavior.

Models with DP respect this situation and may lead to more adequate modelling of real bodies. Basic idea of models consists in "fragmentation" of system into high number of elementary segments.

We developed necessary theoretical background and software for simulation. The main fields of applications are as follows: Time domain changes of strains and stresses in heterogeneous structures, strain and stress propagation and damping, passage through boundaries, energy losses and energy production, mechanical matching, mechanical wave speed propagation.