Abstract
In addition to the hexagonal crystals of class 6 mm, many piezoelectric materials (e.g., BaTiO3), piezomagnetic materials (e.g., CoFe2O4), and multiferroic composite 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 displacements, extended stresses, self-energy, and interaction energy of arbitrarily shaped, three-dimensional (3D) dislocation loops with a constant extended Burgers vector in transversely isotropic magneto-electro-elastic (MEE) bimaterials (i.e., joined half-spaces). The derived solutions can also be simply reduced to those expressions for piezoelectric, piezomagnetic, 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.
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Project supported by the National Project of Scientific and Technical Supporting Programs Funded by Ministry of Science & Technology of China (No. 2009BAG12A01-A03-2) and the National Natural Science Foundation of China (Nos. 10972196, 11090333, 11172273, and 11321202)
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Yuan, Jh., Chen, Wq. & Pan, E. Line-integral representations for extended displacements, stresses, and interaction energy of arbitrary dislocation loops in transversely isotropic magneto-electro-elastic bimaterials. Appl. Math. Mech.-Engl. Ed. 35, 1005–1028 (2014). https://doi.org/10.1007/s10483-014-1846-7
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DOI: https://doi.org/10.1007/s10483-014-1846-7
Key words
- dislocation loop
- multiferroic
- transverse isotropy
- bimaterial
- half space
- extended displacement
- extended stress
- interaction energy