Numerical computation of effective stiffness for spatially graded beam-like structures based on asymptotic homogenization

Xu, Liang, Zhang, Yuchi, Zhang, Degang, Liu, Dianzi and Qian, Zhenghua (2024) Numerical computation of effective stiffness for spatially graded beam-like structures based on asymptotic homogenization. Mechanics of Advanced Materials and Structures, 31 (17). pp. 4051-4068. ISSN 1537-6494

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Abstract

This work investigates asymptotic homogenization method (AHM) for axially graded beams that are mapped from periodic ones. The unit cell problems, the homogenized constitutive and governing equations are first established theoretically. Then a novel FE formulation of unit cell problems and effective stiffness, distinct from that of the periodic beams, is derived and resolved for solid elements. Besides, to improve analysis efficiency, an updated concise formulation is acquired for shell elements with proper handle of in-plane rotational DOFs, and a MATLAB code is presented to show implementation details. At last, four numerical examples show the correctness of the proposed method.

Item Type:	Article
Additional Information:	Funding information: This work is supported by National Natural Science Foundation of China (No. 12002159), Natural Science Foundation of Jiangsu Province (No. BK20200411), the State Key Laboratory of Structural Analysis for Industrial Equipment (No. GZ20101), and a Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD).
Faculty \ School:	Faculty of Science > School of Engineering (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Sustainable Energy Faculty of Science > Research Groups > Materials, Manufacturing & Process Modelling
Depositing User:	LivePure Connector
Date Deposited:	19 May 2023 08:32
Last Modified:	28 Mar 2025 12:11
URI:	https://ueaeprints.uea.ac.uk/id/eprint/92102
DOI:	10.1080/15376494.2023.2190738

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