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功能梯度磁电热弹性空心球的瞬态热应力问题

Transient Thermal Stress Problem of a Functionally Graded Magneto-Electro-Thermoelastic Hollow Sphere.

作者信息

Ootao Yoshihiro, Ishihara Masayuki

机构信息

Department of Mechanical Engineering, Graduate School of Engineering, Osaka Prefecture University, 1-1 Gakuen-cho, Naka-ku, Sakai 599-8531, Japan.

出版信息

Materials (Basel). 2011 Dec 12;4(12):2136-2150. doi: 10.3390/ma4122136.

DOI:10.3390/ma4122136
PMID:28824129
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC5448889/
Abstract

This article is concerned with the theoretical analysis of the functionally graded magneto-electro-thermoelastic hollow sphere due to uniform surface heating. We analyze the transient thermoelastic problem for a functionally graded hollow sphere constructed of the spherical isotropic and linear magneto-electro-thermoelastic materials using a laminated composite mode as one of theoretical approximation in the spherically symmetric state. As an illustration, we carry out numerical calculations for a functionally graded hollow sphere constructed of piezoelectric and magnetostrictive materials and examine the behaviors in the transient state. The effects of the nonhomogeneity of material on the stresses, electric potential, and magnetic potential are investigated.

摘要

本文关注功能梯度磁电热弹性空心球在表面均匀加热情况下的理论分析。我们采用层合复合材料模型作为球对称状态下的一种理论近似，分析由球形各向同性和线性磁电热弹性材料构成的功能梯度空心球的瞬态热弹性问题。作为示例，我们对由压电和磁致伸缩材料构成的功能梯度空心球进行数值计算，并研究其瞬态行为。研究了材料非均匀性对应力、电势和磁势的影响。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6e2/5448889/51b8ca08f72a/materials-04-02136-g009a.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6e2/5448889/31f7b2f63c24/materials-04-02136-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6e2/5448889/e76b6b72ac22/materials-04-02136-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6e2/5448889/b5fe3f9ce29c/materials-04-02136-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6e2/5448889/482dd849fb20/materials-04-02136-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6e2/5448889/daf105cc1787/materials-04-02136-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6e2/5448889/e990ed55f2df/materials-04-02136-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6e2/5448889/d5236790bf23/materials-04-02136-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6e2/5448889/00c911979b66/materials-04-02136-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6e2/5448889/51b8ca08f72a/materials-04-02136-g009a.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6e2/5448889/31f7b2f63c24/materials-04-02136-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6e2/5448889/e76b6b72ac22/materials-04-02136-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6e2/5448889/b5fe3f9ce29c/materials-04-02136-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6e2/5448889/482dd849fb20/materials-04-02136-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6e2/5448889/daf105cc1787/materials-04-02136-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6e2/5448889/e990ed55f2df/materials-04-02136-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6e2/5448889/d5236790bf23/materials-04-02136-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6e2/5448889/00c911979b66/materials-04-02136-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6e2/5448889/51b8ca08f72a/materials-04-02136-g009a.jpg

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本文引用的文献

1
Magnetoelectric effect in composites of piezoelectric and piezomagnetic phases.压电相和压磁相复合材料中的磁电效应。
Phys Rev B Condens Matter. 1994 Sep 1;50(9):6082-6088. doi: 10.1103/physrevb.50.6082.