Application of a meshless method for calculating the interaction of an intravascular microrobot with blood vessel walls

The development of intravascular microrobots requires determining maximum allowable forces exerted by microrobot supporting legs on vessel walls. In this study, the blood vessel is considered to be a soft orthotropic shell loaded by a force distributed over a small area. To solve the problem, one of the meshless method based on the collocation method is used. General formulas of soft shells are presented as applied to the meshless method. The constructed model makes it possible to obtain equivalent stresses depending on the load and the area of its distribution for various parameters of the vessel. The parameters of the coronary artery are determined for the elderly age group. It is shown that blood vessels cannot be damaged by microrobot supporting legs due to the constraints imposed on the value of their transverse displacements.

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