Line-integral representations for extended displacements, stresses, and interaction energy of arbitrary dislocation loops in transversely isotropic magneto-electro-elastic bimaterials

In addition to the hexagonal crystals of class 6 mm, many piezoelectric materials （e.g., BaTiO3）, piezomagnetic materials （e.g., CoFe2O4）, and multiferroic com-posite materials （e.g., BaTiO3-CoFe2O4 composites） also exhibit symmetry of transverse isotropy after poling, with the isotropic plane perpe...

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Bibliographic Details
Published inApplied mathematics and mechanics Vol. 35; no. 8; pp. 1005 - 1028
Main Author 袁江宏 陈伟球 E.PAN
Format Journal Article
LanguageEnglish
Published Heidelberg Shanghai University 01.08.2014
Subjects
Applications of Mathematics
Barium titanates
Classical Mechanics
Constants
Deoxidizing
Dislocation loops
Fluid- and Aerodynamics
Mathematical Modeling and Industrial Mathematics
Mathematical models
Mathematics
Mathematics and Statistics
Partial Differential Equations
Piezoelectricity
Stresses
Three dimensional
multiferroic
74F15
interaction energy
transverse isotropy
dislocation loop
extended stress
O343.8
74E10
half space
bimaterial
extended displacement
74M25
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Summary:In addition to the hexagonal crystals of class 6 mm, many piezoelectric materials （e.g., BaTiO3）, piezomagnetic materials （e.g., CoFe2O4）, and multiferroic com-posite materials （e.g., BaTiO3-CoFe2O4 composites） also exhibit symmetry of transverse isotropy after poling, with the isotropic plane perpendicular to the poling direction. In this paper, simple and elegant line-integral expressions are derived for extended displace-ments, extended stresses, self-energy, and interaction energy of arbitrarily shaped, three-dimensional （3D） dislocation loops with a constant extended Burgers vector in trans-versely isotropic magneto-electro-elastic （MEE） bimaterials （i.e., joined half-spaces）. The derived solutions can also be simply reduced to those expressions for piezoelectric, piezo-magnetic, or purely elastic materials. Several numerical examples are given to show both the multi-field coupling effect and the interface/surface effect in transversely isotropic MEE materials.
Bibliography:dislocation loop multiferroic transverse isotropy bimaterial half space extended displacement extended stress interaction energy
31-1650/O1
Jiang-hong YUAN,Wei-qiu CHEN,E PAN （1. Department of Civil Engineering, Zhejiang University, Hangzhou 310058, P. R. China; 2. Department of Engineering Mechanics, Zhejiang University, Hangzhou 310027, P. R. China; 3. Department of Civil Engineering and Department of Applied Mathematics, University of Akron, Akron, OH 44325, U. S. A.）
In addition to the hexagonal crystals of class 6 mm, many piezoelectric materials （e.g., BaTiO3）, piezomagnetic materials （e.g., CoFe2O4）, and multiferroic com-posite materials （e.g., BaTiO3-CoFe2O4 composites） also exhibit symmetry of transverse isotropy after poling, with the isotropic plane perpendicular to the poling direction. In this paper, simple and elegant line-integral expressions are derived for extended displace-ments, extended stresses, self-energy, and interaction energy of arbitrarily shaped, three-dimensional （3D） dislocation loops with a constant extended Burgers vector in trans-versely isotropic magneto-electro-elastic （MEE） bimaterials （i.e., joined half-spaces）. The derived solutions can also be simply reduced to those expressions for piezoelectric, piezo-magnetic, or purely elastic materials. Several numerical examples are given to show both the multi-field coupling effect and the interface/surface effect in transversely isotropic MEE materials.
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-014-1846-7