Elastic response of a hollow cylinder with voids and micropolar structure

• Published in: Continuum mechanics and thermodynamics Vol. 34; no. 3; pp. 855 - 866
• Main Authors: Vlase, Sorin, Marin, Marin, Öchsner, Andreas, Itu, Calin
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2022; Springer; Springer Nature B.V
• Subjects: Classical and Continuum Physics; Composite materials; Crack initiation; Cylinders; Elasticity; Engineering; Engineering Thermodynamics; Experimental methods; Finite element analysis; Finite element method; Heat and Mass Transfer; Manufacturing; Mechanical properties; Original Article; Physical properties; Physics; Physics and Astronomy; Research methodology; Structural Materials; Theoretical and Applied Mechanics; Voids; Voids; Finite element method; Elasticity; Micropolar; Micropolar media
• ISSN: 0935-1175; 1432-0959
• DOI: 10.1007/s00161-022-01095-7

The paper aims to study, using the finite element method, the elastic behavior of a cylinder made by a material with micropolar structure, containing (as the results of the processing or introduced intentionally) voids. To study such a type of problem, a theoretical model of a continuous solid body with voids in the material is presented, after which, in order to determine the effect that these voids have, a model with finite elements is made, using Lagrange’s equations. This model can be applied to any type of elastic solid with voids. In the paper study the elastic response of a hollow cylinder made by a material with voids. Finally, comparative results are obtained to show the influence of voids on the elastic behavior of the body in some classic cases. These results are compared with the values obtained in the literature by experimental methods. It is found that a small percentage of voids can lead to significant variations on the mechanical properties.