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Analytical solutions of uniform extended dislocations and tractions over a circular area in anisotropic magnetoelectroelastic bimaterials
  • ISSN号:0567-7718
  • 期刊名称:《力学学报:英文版》
  • 时间:0
  • 分类:O343.8[理学—固体力学;理学—力学] TG146.11[金属学及工艺—金属材料;一般工业技术—材料科学与工程;金属学及工艺—金属学]
  • 作者机构:[1]Dept. of Civil Engineering, University of Akron,Akron, OH 44325, USA, [2]Dept. of Applied Mechanics,University of Science and Technology100083 Beijing, China
  • 相关基金:The project was partially supported by the National Natural Science Foundation of China (10772024).
中文摘要:

在这份报纸,我们在一个水平圆形的区域以内在一个三维的各向异性的 magnetoelectroelastic bimaterial 空间题目导出分析答案到一致扩大脱臼和拖拉。由 Stroh 形式主义和 Fourier 转变的优点,在物理域的解决方案的最后的表达式包含仅仅线积分在上[0, 2 ] 而非无限的积分。作为减少的盒子,一半空间和同类的完整空间的答案能直接从现在的答案被导出。以材料领域,另外,现在的答案能被归结为压电, piezomagnetic,有材料的不同对称的完全有弹性的材料性质。执行数字计算,高斯照被采用。在数字例子,在接口的反应上的不同装载地点的效果被分析。当装载区域移动离开接口,当磁性的拖拉或电的脱臼被使用时,接口上的物理数量不能 monotonically 减少,这被显示出当装载区域移动离开接口。不同在里面飞机的分布在各种各样的扩大水平装载下面的上面、更低的接口上的物理数量被比较,差别被讨论。在这篇论文介绍的工作能为未来用作基准相关研究领域里的数字研究。

英文摘要:

In this paper, we derive the analytical solutions in a three-dimensional anisotropic magnetoelectroelastic bimaterial space subject to uniform extended dislocations and tractions within a horizontal circular area. By virtue of the Stroh formalism and Fourier transformation, the final expression of solutions in the physical domain contains only line integrals over [0, 2π] rather than infinite integrals. As the reduced cases, the half-space and homogeneous full-space solutions can be directly derived from the present solutions. Also, in terms of material domains, the present solutions can be reduced to the piezoelectric, piezomagnetic, purely elastic materials with different symmetries of material prop- erty. To carry out numerical calculations, Gauss quadrature is adopted. In the numerical examples, the effect of different loading locations on the response at the interface is analyzed. It is shown that, when the magnetic traction or electric dislocation is applied, the physical quantities on the interface may not decrease monotonically as the loading area moves away from the interface. The distributions of different in-plane physical quantities on the upper and lower interfaces under various extended horizontal loadings are compared and the differences are discussed. The work presented in this paper can serve as benchmarks for future numerical studies in related research fields.

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期刊信息
  • 《力学学报:英文版》
  • 中国科技核心期刊
  • 主管单位:中国科学技术协会
  • 主办单位:中国力学学会 中国科学院力学研究所
  • 主编:卢天健
  • 地址:北京市海淀区北四环西路15号
  • 邮编:100190
  • 邮箱:actams@cstam.org.cn
  • 电话:010-62536271
  • 国际标准刊号:ISSN:0567-7718
  • 国内统一刊号:ISSN:11-2063/O3
  • 邮发代号:2-703
  • 获奖情况:
  • 国内外数据库收录:
  • 被引量:352