Construction of a Bending Model of Micropolar Elastic Thin Beams with a Circular Axis and Its Implementation Using the Finite Element Method

• Published in: Journal of applied mechanics and technical physics Vol. 63; no. 7; pp. 1205 - 1217
• Main Authors: Sargsyan, S. H., Khachatryan, M. V.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01.12.2022; Springer Nature B.V
• Subjects: Applications of Mathematics; Bending; Classical and Continuum Physics; Classical Mechanics; Curved beams; Elastic deformation; Elasticity; Energy conservation law; Finite element analysis; Finite element method; Fluid- and Aerodynamics; Mathematical Modeling and Industrial Mathematics; Mathematical models; Mechanical Engineering; Physics; Physics and Astronomy; Static deformation; Variational principles; beam with a circular axis; finite element method; plane bending; micropolar theory of elasticity; one-dimensional model

The problem of a transition from a system of two-dimensional equations of the micropolar (moment) theory of elasticity in a thin curved region to a one-dimensional system of equations of deformation of a micropolar elastic thin beam with a circular axis (a curved beam with a median surface in the fo...