Micro–macro asymptotic approach applied to heterogeneous elastic micropolar media. Analysis of some examples. (15th March 2022)

• Record Type: Journal Article
• Authors: Rodríguez-Ramos, R.; Yanes, V.; Espinosa-Almeyda, Y.; Otero, J.A.; Sabina, F.J.; Sánchez-Valdés, C.F.; Lebon, F.
• Is Part Of: International journal of solids and structures. Volume 239/240(2022)
• Publication Date: 2022-03-15
• Subjects: Asymptotic homogenization method -- Centro-symmetric Cosserat composite -- Micropolar media -- Laminate composite -- Engineering moduli; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2022.111444
• Languages: English
• ISSNs: 0020-7683

Abstract

Abstract: In this work, the derivation of the effective properties for heterogeneous micropolar media with periodic structure using the two-scale asymptotic homogenization method (AHM) is reported. Analytical expressions for the local problems and the effective coefficients are explicitly described. As a particular case, periodic laminated composites are also analyzed, focusing on centro-symmetric Cosserat composites with isotropic and cubic constituents. Also, closed-form formulae of the effective properties are obtained for both constituent symmetries, and numerical values are reported and discussed. The resulting composite belongs to the orthotropic symmetry under rotations of 90°about the unitary vector e 3, i.e., it has eighteen effective independent properties: nine stiffness and nine torques. As a limit case, a comparison between classical and Cosserat effective elastic properties is shown for a laminated composite with isotropic constituents. Finally, the engineering moduli of centro-symmetric laminated Cosserat materials with isotropic and cubic constituents are reported, and the numerical values are analyzed.