Magnetically manipulated interventional robotic systems offer outstanding advantages for improving vascular interventions, including minimizing radiation exposure to physicians and increasing the controllability of magnetic devices in hard‐to‐reach vessels. However, automatic control guidewires (MGs) is still challenging terms modeling trajectory planning. Herein, a magnetically controlled guid...

We derive the linear elastic Cosserat shell model of order O(h5) in thickness h. To this aim, we linearise geometrically nonlinear established previously. Using Korn-type inequalities for shells, coercivity energy functional and Lax-Milgram theorem, prove existence uniqueness weak solutions to equilibrium equations.

We formulate the static mechanical coupling of a geometrically exact Cosserat rod to a nonlinearly elastic continuum. In this setting, appropriate coupling conditions have to connect a one-dimensional model with director variables to a three-dimensional model without directors. Two alternative coupling conditions are proposed, which correspond to two different configuration trace spaces. For bo...

The paper studies the propagation of shear elastic waves in a layer on basis simplified Cosserat model. One planes bounding is loaded with inertial mass, second boundary fixed. possibility appearance localized (surface) wave along surface established. velocity determined short-wave and long-wave approximations.