An asymptotic meshless method for sandwich functionally graded circular hollow cylinders with various boundary conditions

Author:

Wu Chih-Ping1,Jiang Ruei-Yong1

Affiliation:

1. Department of Civil Engineering, National Cheng Kung University, Taiwan, Republic of China

Abstract

An asymptotic meshless method using the differential reproducing kernel interpolation and perturbation method is formulated for the three-dimensional bending analysis of sandwich functionally graded circular hollow cylinders and laminated composite ones with clamped and simply-supported edge conditions, in which the effective material properties of the functionally graded layer are evaluated using the Mori–Tanaka scheme. In the formulation, we perform the mathematical processes of nondimensionalization, asymptotic expansion and successive integration to obtain recurrent sets of governing equations for various order problems. Classical shell theory is derived as a first-order approximation of the three-dimensional theory of elasticity, and the governing equations for higher order problems retain the same differential operators as those of classical shell theory, although with different nonhomogeneous terms. Expanding the primary field variables of each order as the Fourier series functions in the circumferential direction, and interpolating these in the axial direction using the differential reproducing kernel interpolation, we can obtain the leading-order solutions of this analysis, and the higher order modifications can then be determined in a systematic manner. Some benchmark solutions for the bending analysis of sandwich functionally graded circular hollow cylinders and laminated composite ones subjected to mechanical loads are given to demonstrate the performance of the asymptotic meshless method.

Publisher

SAGE Publications

Subject

Mechanical Engineering,Mechanics of Materials,Ceramics and Composites

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3