功能梯度压电压磁球对称问题的静力响应

时朋朋, 李星

时朋朋, 李星. 功能梯度压电压磁球对称问题的静力响应[J]. 工程力学, 2014, 31(5): 56-63. DOI: 10.6052/j.issn.1000-4750.2012.12.0937
引用本文: 时朋朋, 李星. 功能梯度压电压磁球对称问题的静力响应[J]. 工程力学, 2014, 31(5): 56-63. DOI: 10.6052/j.issn.1000-4750.2012.12.0937
shu
SHI Peng-peng, LI Xing. STATIC RESPONSE OF A SYMMETRIC SPHERE OF FUNCTIONALLY GRADED PIEZOELECTRIC/PIEZOMAGNETIC MATERIALS[J]. Engineering Mechanics, 2014, 31(5): 56-63. DOI: 10.6052/j.issn.1000-4750.2012.12.0937
Citation: SHI Peng-peng, LI Xing. STATIC RESPONSE OF A SYMMETRIC SPHERE OF FUNCTIONALLY GRADED PIEZOELECTRIC/PIEZOMAGNETIC MATERIALS[J]. Engineering Mechanics, 2014, 31(5): 56-63. DOI: 10.6052/j.issn.1000-4750.2012.12.0937
shu

功能梯度压电压磁球对称问题的静力响应

  • 宁夏大学数学计算机学院, 宁夏, 银川 750021

基金项目: 国家自然科学基金项目(51061015, 11362018);高等学校博士学科点专项科研基金课题项目(博导类, 20116401110002)
详细信息
    作者简介:

    时朋朋(1987-), 男, 晋城人, 博士生, 从事智能材料弹性与断裂研究 E-mail:shi_p_p@yeah.net.

  • 中图分类号: O343.1

STATIC RESPONSE OF A SYMMETRIC SPHERE OF FUNCTIONALLY GRADED PIEZOELECTRIC/PIEZOMAGNETIC MATERIALS

  • School of Mathematics and Computer Science, Ningxia University, Yinchuan, Ningxia 750021, China

摘要

    摘要
  • 摘要: 研究径向载荷作用下功能梯度压电压磁空心球壳的空间球对称电磁弹耦合静力学问题。假设压电压磁空心球壳的材料参数沿球厚度方向呈幂函数分布, 在球坐标系下, 由材料的参数方程、本构方程、几何方程和平衡方程导出在外激励作用下空心球壳体的应力、电势、磁势等物理量的解析解。结构内表面材料设为常用BaTiO3-CoFeO4复合材料, 分别对球壳内表面受力以及内外表面存在电势差或磁势差的情况进行数值讨论, 分别给出不同梯度参数下结构内部径向应力、环向应力、电势和磁势的分布。结果表明梯度参数的选取对功能梯度压电压磁球壳的性能有很大的影响。
    Abstract: A sphere-symmetric problem dealing with a hollow, radially-polarized, piezoelectric/piezomagnetic sphere made of functionally graded (FG) materials is analyzed. Assuming the material properties of the sphere follow a power-law distribution, a closed form solution is derived in spherical coordinates. Numerical results are calculated for a hollow FG piezoelectric/piezomagnetic sphere with an inner surface of BaTiO3-CoFeO4 composite, and the distribution of the radial and circumferential stresses as well as the electric potential and magnetic potential are presented graphically under mechanical, electric and magnetic stimuli, respectively. The results indicate that the gradient index strongly affects the stress distribution, electrical, and magnetic response.
    • HTML全文
    • 参考文献(23)
  • [1] 杜善义. 先进复合材料与航空航天[J]. 复合材料学报, 2007, 24(1): 1-11. Du Shanyi. Advanced composite materials and aerospace engineering [J]. Acta Materiae Compositae Sinica, 2007, 24(1): 1-11. (in Chinese)
    [2] Ding H J, Chen W Q. Three dimensional problems of piezoelasticity [M]. New York: Nova Science Publishers, 2001: 1-26.
    [3] 舒小平. 正交压电复合材料层板各类边界的解析解[J]. 工程力学, 2013, 30(10): 288-295. Shu Xiaoping. Analytical solutions of cross-ply piezoelectric composite laminates with various boundary conditions [J]. Engineering Mechanics, 2013, 30(10): 288-295. (in Chinese)
    [4] 靳静, 马鹏. 压电压磁双层材料界面裂纹断裂特性进一步分析[J]. 工程力学, 2013, 30(6): 327-333. Jin Jing, Ma Peng. Further analysis for fracture behaviors of aninterfacial crack between piezoelectric andpiezomagnetic layers [J]. Engineering Mechanics, 2013, 30(6): 327-333. (in Chinese)
    [5] 孔艳平, 刘金喜. 功能梯度压电双材料板中厚度-扭曲波的传播[J]. 工程力学, 2012, 29(7): 24-28, 41. Kong Yanping, Liu Jinxi. Propagation of thickness-twist waves in a functionally graded piezoelectric bi-material plate [J]. Engineering Mechanics, 2012, 29(7): 24-28, 41. (in Chinese)
    [6] 冯慧, 宋豪鹏, 刘又文, 方棋洪. 压电材料中螺型位错偶极子与圆弧形界面裂纹的电弹干涉效应[J]. 工程力学, 2012, 29(1): 249-256. Feng Hui, Song Haopeng, Liu Youwen, Fang Qihong. Interaction between a screw dislocation dipole and circular-arc interfacial cracks in piezoelectric solids [J]. Engineering Mechanics, 2012, 29(1): 249-256. (in Chinese)
    [7] 姚林泉, 俞焕然. 压电材料球对称问题的通解[J]. 兰州大学学报(自然科学版), 1998, 34(1): 30-33. Yao Linquan, Yu Huanran. The general solution of sphere-symmetric problems in piezoelectric material [J]. Journal of Lanzhou University (Natural Sciences), 1998, 34(1): 30-33. (in Chinese)
    [8] Ding H J, Wang H M, CHEN W Q. The general solution of spherically isotropic piezoelectric media and its applications [J]. Mechanics Research Communications, 2001, 28(4): 389-396.
    [9] Chen W Q, Ding H J. Exact static analysis of a rotating piezoelectric spherical shell [J]. Acta Mechanic Sinica, 1998, 14(3): 257-265.
    [10] 丁皓江, 陈伟球, 徐荣桥. 压电板壳自由振动的三维精确分析[J]. 力学季刊, 2001, 22(1): 1-9. Ding Haojiang, Chen Weiqiu, Xu Rongqiao. Three- dimensional exact analyses of free vibrations for piezoelectric plates and shells [J]. Chinese Quarterly of Mechanics, 2001, 22(1): 1-9. (in Chinese)
    [11] Li H Y, Liu Z X, Lin Q R. Spherical-symmetric steady-state response of piezoelectric spherical shell under external excitation [J]. Archive of Applied Mechanics, 2000, 21(8): 947-956.
    [12] 舒小平. 球壳与柱壳之功能梯度压电涂层的热效应分析[J]. 中国机械工程, 2011, 22(24): 95-102. Shu Xiaoping. Thermal response of functionally graded piezoelectric coatings on sphere and cylinder shells [J]. China Mechanical Engineering, 2011, 22(24): 95-102. (in Chinese)
    [13] Saadatfar M, Rastgoo A. Stress in piezoelectric hollow sphere with thermal gradient [J]. Journal of Mechanical Science and Technology, 2008, 22(8): 1450-1467.
    [14] Heyliger P, Wu Y C. Electroelastic fields in layered piezoelectric spheres [J]. International Journal of Engineering Science, 1999, 37(2): 143-161.
    [15] Chen W Q, Ding H J, Xu R Q. Three-dimensional static analysis of mufti-layered piezoelectric hollow spheres via the state space method [J]. International Journal of Solids and Structures, 2001, 38(28): 4921-4936.
    [16] Dai H L, Wang X. Stress wave propagation in laminated piezoelectric spherical shells under thermal shock and electric excitation [J]. European Journal of Mechanics-A/ Solids, 2005, 24(2): 263-276.
    [17] Wang X, Zhong Z. The general solution of spherically isotropic magnetoelectroelastic media and its applications [J]. European Journal of Mechanics-A/ Solids, 2003, 22(6): 953-969.
    [18] 关群, 王建国, 陶玲. 压电压磁球对称问题振动分析 [J]. 兰州大学学报(自然科学版), 2008, 44(6): 127-130. Guan Qun, Wang Jianguo, Tao Ling. Analysis of piezo- electric-magnetic material vibration in the spherical symmetry [J]. Journal of Lanzhou University (Natural Sciences), 2008, 44(6): 127-130. (in Chinese)
    [19] 关群, 何顺荣. 压电、压磁材料球对称问题的通解[J]. 固体力学学报, 2004, 25(3): 331-334. Guan Qun, He Shunrong. The General solution of sphere symmetric problems in piezoelectric piezomagnetic and elastic media [J]. Acta Mechanica Solida Sinica, 2004, 25(3): 331-334. (in Chinese)
    [20] 仲政, 吴林志, 陈伟球. 功能梯度材料与结构的若干力学问题研究进展[J]. 力学进展, 2010, 40(5): 528-541. Zhong Zheng, Wu Linzhi, Chen Weiqiu. Progress in the study on mechanics problems of functionally graded materials and structures [J]. Advances in Mechanics, 2010, 40(5): 528-541. (in Chinese)
    [21] Li X F, Peng X L, Lee K Y. The static response of functionally graded radially polarized piezoelectric spherical shells as sensors and actuators [J]. Smart Materials and Structures, 2010, 19(3): 035010-1-035010-10.
    [22] Wang H M, Ding H J. Spherically symmetric transient responses of functionally graded magneto-electro-elastic hollow sphere [J]. Structural Engineering and Mechanics, 2006, 25(6): 525-542.
    [23] Wang B L, Mai Y W. Applicability of the crack-face electromagnetic boundary conditions for fracture of magnetoelectroelastic materials [J]. International Journal of Solids and Structures, 2007, 44(2): 387-398.
    • 相关文章
    • 施引文献
    • 资源附件(0)
计量
  • 文章访问数:  274
  • HTML全文浏览量:  15
  • PDF下载量:  74
  • 被引次数: 0
出版历程
  • 收稿日期:  2012-12-04
  • 刊出日期:  2014-05-24

目录

摘要
HTML全文
    参考文献(23)
    相关文章
    施引文献
    资源附件(0)

    /

    返回文章
    返回

    京ICP备18030614号

    版权所有 © 《工程力学》编辑部

    地址：北京清华大学新水利馆114室邮政编码：100084

    电话：(010)62788648传真：021-64253812电子信箱：gclxbjb@tsinghua.edu.cn

    本系统由北京仁和汇智信息技术有限公司开发  百度统计