naa a22 4500 510823319 CHVBK 20180411083544.0 cr unu---uuuuu 180411e20130301xx s 000 0 eng 10.1007/s12541-013-0060-8 doi (NATIONALLICENCE)springer-10.1007/s12541-013-0060-8 Electric field intensity factors for conducting paths in anisotropic dielectric bimaterials [Elektronische Daten] [Song Lin, Hyeon Beom, Cheng Cui] Conducting paths in an anisotropic dielectric bimaterial as well as in a homogeneous anisotropic material subjected to electric loading are investigated. The conducting path problems are formulated by using a linear transformation method. Electric field intensity factors are obtained for conducting paths emanating from a surface electrode in an orthotropic material. The asymptotic problem of a kinked conducting path in dissimilar anisotropic dielectric materials is considered. The electric field intensity factor for the asymptotic problem is obtained in the infinite product form. To ascertain validity of the solution obtained from the linear transform method, numerical computations are carried out by using finite element method. The electric field intensity factor for a conducting path emanating from the vertex of a bimaterial wedge with a tilt boundary is also obtained in the closed form. Korean Society for Precision Engineering and Springer-Verlag Berlin Heidelberg, 2013 Anisotropic dielectric material nationallicence Conducting path nationallicence Linear transformation method nationallicence Electric field intensity factor nationallicence D i ( m ) : electric displacement nationallicence E i ( m ) : electric field nationallicence f ( z ) : analytic function nationallicence F ( m ) : linear transformation matrix nationallicence J : J integral nationallicence J 0 : energy release rate for an interfacial crack without kink nationallicence k 0 : interfacial electric field intensity factor of wedge without the conducting path nationallicence K E : electric field intensity factor nationallicence K E t : electric field intensity factor for kinked conducting path nationallicence L *( m ) : real matrix nationallicence p ( m ) : complex constant nationallicence z ( m ) : complex variable nationallicence α m : apex angle nationallicence γ : Dundurs parameter for the dielectric bimaterial nationallicence ɛ : equivalent dielectric constant for the anisotropic solid nationallicence $\hat \varepsilon $ : dielectric constant for the isotropic material nationallicence ɛ ij ( m ) : anisotropic dielectric constant nationallicence ɛ ij p ( m ) : dielectric constants in the principal material coordinate system nationallicence η ( m ) : anisotropic parameter nationallicence λ ( m ) : anisotropic parameter nationallicence λ p ( m ) : anisotropic parameter in the principal material coordinate system nationallicence Λ* : real matrix nationallicence θ p ( m ) : inclination angle of principal material direction nationallicence ϕ ( m ) : electric potential nationallicence ω : kink angle nationallicence Lin Song Department of Mechanical Engineering, College of Engineering, Inha University, 253 Yonghyun-dong, 402-751, Incheon, Republic of Korea aut Beom Hyeon Department of Mechanical Engineering, College of Engineering, Inha University, 253 Yonghyun-dong, 402-751, Incheon, Republic of Korea aut Cui Cheng Department of Mechanical Engineering, College of Engineering, Inha University, 253 Yonghyun-dong, 402-751, Incheon, Republic of Korea aut International Journal of Precision Engineering and Manufacturing Korean Society for Precision Engineering 14/3(2013-03-01), 439-449 2234-7593 14:3<439 2013 14 12541 https://doi.org/10.1007/s12541-013-0060-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s12541-013-0060-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lin Song Department of Mechanical Engineering, College of Engineering, Inha University, 253 Yonghyun-dong, 402-751, Incheon, Republic of Korea aut NATIONALLICENCE 700 1- Beom Hyeon Department of Mechanical Engineering, College of Engineering, Inha University, 253 Yonghyun-dong, 402-751, Incheon, Republic of Korea aut NATIONALLICENCE 700 1- Cui Cheng Department of Mechanical Engineering, College of Engineering, Inha University, 253 Yonghyun-dong, 402-751, Incheon, Republic of Korea aut NATIONALLICENCE 773 0- International Journal of Precision Engineering and Manufacturing Korean Society for Precision Engineering 14/3(2013-03-01), 439-449 2234-7593 14:3<439 2013 14 12541 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer