A MATHEMATICAL THEORY FOR BLOOD FLOW DYNAMICS IN THE ARTERIAL SYSTEM analysis of rotation angle and dynamical equations for forces and moments operating on artreial wall.
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We have established a mathematical model of arterial system. This paper expand theoretical analysis of the mechanical dynamical structure of the arterial wall. The general deformation theory of dynamical analysis was applied to establish the balancing equations of the forces and moments that operate on the arterial wall surface. To generalyze the dynamical problem，we brought the shell theory of the curved surface into the analysis of the arterial wall surface. To associate and identify the directions of the forces and moments before and after the deformation， we firstly analyzed the relative rotation angles between each lines of the micro surface elements around the 3 axies which were founded on the elements. Utilyzing these parameters of the relative rotation， movements， we induced the balancing equations of the forces. Since we Assume more general case， we also studied the balancing equations of bending，twisting moments and transverse shear. Then we have obtained 6 equilibrium equation in 3 directions. This paper is one of the vital points of the mathematical expansion of our theory. [The constructive dynamic analysis of the arterial wall] -1 The rotation angle of the arterial wall and the equilibrium equations for the stress and moments operating on the wall.
A MATHEMATICAL THEORY FOR BLOOD FLOW DYNAMICS IN THE ARTERIAL SYSTEM analysis of rotation angle and dynamical equations for forces and moments operating on artreial wall.
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