Three-dimensional dynamic Green’s functions in exponentially graded transversely isotropic tri-material composites

Author:

Zarrineghbal Amirhosein1,Khojasteh Ali2ORCID,Rahimian Mohammad1ORCID,Pak Ronald YS3

Affiliation:

1. School of Civil Engineering, University of Tehran, Tehran, Iran

2. School of Engineering Science, University of Tehran, Tehran, Iran

3. Department of Civil, Environmental and Architectural Engineering, University of Colorado Boulder, Boulder, CO, USA

Abstract

This paper presents an analytical formulation for deriving the three-dimensional (3D) elastodynamic Green’s functions of functionally graded transversely isotropic tri-material composite under time-harmonic loading. With the aid of a complete set of displacement potentials, Fourier expansions, and Hankel integral transforms, displacement and stress components of 3D point-load, patch-load, and ring-load are obtained in the form of complex-plane infinite line-integrals. By virtue of a reliable and fast numerical scheme, i.e., the contour integration method, they are numerically treated, and its accuracy is achieved by comparison with some special cases. Finally, some numerical results are selected to demonstrate the influences of the material inhomogeneity and vibration frequency on the displacement and stress components. Particularly, the dependency of the stress transfer process at the interface of the mediums on the degree of inhomogeneity is presented, which is of high importance in evaluating the performance of composite materials.

Publisher

SAGE Publications

Subject

Mechanics of Materials,General Materials Science,General Mathematics

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