A novel stiffness prediction method with constructed microscopic displacement field for periodic composite plates. Issue 8 (10th March 2023)

• Record Type: Journal Article
• Authors: Gao, Yahe; Huang, Zhiwei; Xing, Yufeng
• Is Part Of: Mechanics of advanced materials and structures. Volume 30:Issue 8(2023)
• Page Start: 1514
• Page End: 1529
• Publication Date: 2023-03-10
• Subjects: Periodic -- composite plate -- stiffness prediction -- asymptotic homogenization -- energy equivalence -- Reissner–Mindlin; Composite materials -- Mechanical properties -- Periodicals; Composite construction -- Periodicals; 620.118
• DOI: 10.1080/15376494.2022.2035861
• Languages: English
• ISSNs: 1537-6494

Abstract

Abstract: A novel method for predicting effective stiffnesses of composite plates with in-plane periodicity is proposed according to two-scale strain energy equivalence. The macroscale energy is reached with the Reissner-Mindlin plate theory, while the microscale energy is obtained through the newly constructed displacement functions of a unit cell within the framework of the three-dimensional elasticity theory. The new displacement functions consist of homogenized displacements, two decoupled expansion terms, and a higher-order perturbed displacement term. The elaborate finite element formulations are presented for realizing the present method in Comsol Multiphysics. Several numerical experiments demonstrate the effectiveness of the new stiffness prediction method.