Advanced search
Publication Cover
Philosophical Magazine A Volume 74, 1996 - Issue 4
Journal homepage
38
Views
46
CrossRef citations to date
0
Altmetric
Original Articles

Elastically anisotropic angularly inhomogeneous media II. The Green's function for piezoelectric, piezomagnetic and magnetoelectric media

H. O. K. Kirchner Institut de Sciences des Materiaux, Université Paris-Sud, F-91405, Orsay, France
&
V. I. Alshits Institute of Crystallography, Leninsky Prospect 59, 117333, Moscow, Russia
Pages 861-885 | Received 04 Oct 1995, Accepted 26 Jan 1994, Published online: 27 Sep 2006

Citations (46)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (5)

Markus Lazar & Helmut O. K. Kirchner. (2021) Generalised plane strain embedded in three-dimensional anisotropic elasticity. Philosophical Magazine 101:24, pages 2584-2598.
Read now
Xueli Han, Ernie Pan & Ali Sangghaleh. (2013) Fields induced by three-dimensional dislocation loops in anisotropic magneto-electro-elastic bimaterials. Philosophical Magazine 93:24, pages 3291-3313.
Read now
Peng-Fei Hou, Hao-Ran Chen & Sha He. (2009) Three-Dimensional Fundamental Solution for Transversely Isotropic Electro-Magneto-Thermo-Elastic Materials. Journal of Thermal Stresses 32:9, pages 887-904.
Read now
Peng-Fei Hou, Tao Yi & Li Wang. (2008) 2D General Solution and Fundamental Solution for Orthotropic Electro-Magneto-Thermo-Elastic Materials. Journal of Thermal Stresses 31:9, pages 807-822.
Read now
Jiang Yu Li & MartinL. Dunn. (1998) Anisotropic coupled-field inclusion and inhomogeneity problems. Philosophical Magazine A 77:5, pages 1341-1350.
Read now

Articles from other publishers (41)

Markus Lazar. (2021) Displacements and Stress Functions of Straight Dislocations and Line Forces in Anisotropic Elasticity: A New Derivation and Its Relation to the Integral Formalism. Symmetry 13:9, pages 1721.
Crossref
D.A. Hadjiloizi, A.L. Kalamkarov, G.C. Saha, K.G. Christoforidis & A.V. Georgiades. (2017) Micromechanical modeling of thin composite and reinforced magnetoelectric plates – Effective elastic, piezoelectric and piezomagnetic coefficients. Composite Structures 172, pages 102-118.
Crossref
D. A. Hadjiloizi, A. L. Kalamkarov & A. V. Georgiades. (2017) Plane stress analysis of magnetoelectric composite and reinforced plates: Applications to wafer- and rib-reinforced plates and three-layered honeycomb shells. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 97:7, pages 786-814.
Crossref
Zhong Ji, Cunguang Lou, Yujiao Shi, Wenzheng Ding, Sihua Yang & Da Xing. (2015) A microwave detection way by electromagnetic and elastic resonance: Breaking the bottleneck of spatial resolution in microwave imaging. Applied Physics Letters 107:16.
Crossref
A.B. Zhang & B.L. Wang. (2014) Theoretical model of crack branching in magnetoelectric thermoelastic materials. International Journal of Solids and Structures 51:6, pages 1340-1349.
Crossref
Pedro Martins & Senentxu Lanceros-Méndez. (2013) Polymer-Based Magnetoelectric Materials. Advanced Functional Materials 23:27, pages 3371-3385.
Crossref
Xueli Han & Ernie Pan. (2013) Fields produced by three-dimensional dislocation loops in anisotropic magneto-electro-elastic materials. Mechanics of Materials 59, pages 110-125.
Crossref
H. Calás, R. Rodriguez-Ramos, J. A. Otero, L. Leija, A. Ramos & G. Monsivais. (2010) Dispersion curves of shear horizontal wave surface velocities in multilayer piezoelectric systems. Journal of Applied Physics 107:4.
Crossref
Su-Ming Xiong & Guang-Zheng Ni. (2009) 2D Green's functions for semi-infinite transversely isotropic electro-magneto-thermo-elastic composite. Journal of Magnetism and Magnetic Materials 321:12, pages 1867-1874.
Crossref
Peng-Fei Hou, Gao-Hang Teng & Hao-Ran Chen. (2009) Three-dimensional Green’s function for a point heat source in two-phase transversely isotropic magneto-electro-thermo-elastic material. Mechanics of Materials 41:3, pages 329-338.
Crossref
W J Feng, E Pan, X Wang & G A Gazonas. (2009) A second-order theory for magnetoelectroelastic materials with transverse isotropy. Smart Materials and Structures 18:2, pages 025001.
Crossref
Jianguo Wang & Xuefeng Li. (2008) Analytical solutions for the magnetoelectric effect of multilayered magneto-electro-elastic media. Smart Materials and Structures 17:4, pages 045028.
Crossref
B. L. Wang, Y. G. Sun & H. Y. Zhang. (2008) Analysis of a penny-shaped crack in magnetoelectroelastic materials. Journal of Applied Physics 103:8.
Crossref
Peng-Fei Hou, Andrew-YT Leung & Hao-Jiang Ding. (2008) A point heat source on the surface of a semi-infinite transversely isotropic electro-magneto-thermo-elastic material. International Journal of Engineering Science 46:3, pages 273-285.
Crossref
W. J. Feng, R. K. L. Su & E. Pan. (2007) Fracture analysis of a penny-shaped magnetically dielectric crack in a magnetoelectroelastic material. International Journal of Fracture 146:3, pages 125-138.
Crossref
W.J. Feng, E. Pan & X. Wang. (2007) Dynamic fracture analysis of a penny-shaped crack in a magnetoelectroelastic layer. International Journal of Solids and Structures 44:24, pages 7955-7974.
Crossref
Markus Lazar. (2007) On the screw dislocation in a functionally graded material. Mechanics Research Communications 34:3, pages 305-311.
Crossref
Bao-Lin Wang & Yiu-Wing Mai. (2007) Applicability of the crack-face electromagnetic boundary conditions for fracture of magnetoelectroelastic materials. International Journal of Solids and Structures 44:2, pages 387-398.
Crossref
J.P. Nowacki & V.I. Alshits. 2007. 47 79 .
Markus Lazar & Helmut O.K. Kirchner. (2005) Cosserat (micropolar) elasticity in Stroh form. International Journal of Solids and Structures 42:20, pages 5377-5398.
Crossref
J.X. Liu, A.K. Soh & D.N. Fang. (2005) A moving dislocation in a magneto–electro-elastic solid. Mechanics Research Communications 32:5, pages 504-513.
Crossref
A. K. Soh & And J.X. Liu. (2016) On the Constitutive Equations of Magnetoelectroelastic Solids. Journal of Intelligent Material Systems and Structures 16:7-8, pages 597-602.
Crossref
Peng-Fei Hou, Hao-Jiang Ding & Jiang-Ying Chen. (2005) Green’s functions for transversely isotropic magnetoelectroelastic media. International Journal of Engineering Science 43:10, pages 826-858.
Crossref
V.I. Alshits & G.A. Maugin. (2005) Dynamics of multilayers: elastic waves in an anisotropic graded or stratified plate. Wave Motion 41:4, pages 357-394.
Crossref
Bao-Lin Wang & Yiu-Wing Mai. (2004) Fracture of piezoelectromagnetic materials. Mechanics Research Communications 31:1, pages 65-73.
Crossref
Bao Lin Wang & Yiu Wing Mai. (2003) Cracking of Electromagnetic Elastic Solids. Key Engineering Materials 251-252, pages 303-312.
Crossref
A. L. Shuvalov. (2003) A sextic formalism for three–dimensional elastodynamics of cylindrically anisotropic radially inhomogeneous materials. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 459:2035, pages 1611-1639.
Crossref
B.L. Wang & Yiu-Wing Mai. (2003) Crack tip field in piezoelectric/piezomagnetic media. European Journal of Mechanics - A/Solids 22:4, pages 591-602.
Crossref
Liu Jin-xi, Wang Xiang-qin & Wang Biao. (2003) General solution for the coupled equations of transversely isotropic magnetoelectroelastic solids. Applied Mathematics and Mechanics 24:7, pages 774-781.
Crossref
Cun-Fa Gao, Hannes Kessler & Herbert Balke. (2003) Crack problems in magnetoelectroelastic solids. Part I: exact solution of a crack. International Journal of Engineering Science 41:9, pages 969-981.
Crossref
Brett A. Bednarcyk. (2003) An inelastic micro/macro theory for hybrid smart/metal composites. Composites Part B: Engineering 34:2, pages 175-197.
Crossref
Ai Kah Soh, Jin-xi Liu & Kay Hiang Hoon. (2003) Three-dimensional Green's functions for transversely isotropic magnetoelectroelastic solids. International Journal of Nonlinear Sciences and Numerical Simulation 4:2.
Crossref
Jianguo Wang, Baobing Chu, Genfang Ding & Yan Shen. 2003. Computational Fluid and Solid Mechanics 2003. Computational Fluid and Solid Mechanics 2003 1564 1568 .
J.P. Nowacki, V.I. Alshits & A. Radowicz. (2002) 2D electro-elastic fields in a piezoelectric layer–substrate structure. International Journal of Engineering Science 40:18, pages 2057-2076.
Crossref
Jiang Yu Li. (2002) Magnetoelectric Green's functions and their application to the inclusion and inhomogeneity problems. International Journal of Solids and Structures 39:16, pages 4201-4213.
Crossref
V. I. Alshits, H. O. K. Kirchner & G. A. Maugin. (2016) Elasticity of Multilayers: Properties of the Propagator Matrix and Some Applications. Mathematics and Mechanics of Solids 6:5, pages 481-502.
Crossref
Liu Jinxi, Liu Xianglin & Zhao Yongbin. (2001) Green's functions for anisotropic magnetoelectroelastic solids with an elliptical cavity or a crack. International Journal of Engineering Science 39:12, pages 1405-1418.
Crossref
V.I Alshits & H.O.K Kirchner. (2001) Cylindrically anisotropic, radially inhomogeneous elastic materials. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 457:2007, pages 671-693.
Crossref
T.C.T Ting. (2000) Recent developments in anisotropic elasticity. International Journal of Solids and Structures 37:1-2, pages 401-409.
Crossref
T. C. T. Tings. (1999) New solutions to pressuring, shearing, torsion and extension of a cylindrically anisotropic elastic circular tube or bar. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 455:1989, pages 3527-3542.
Crossref
H. O. K. Kirchner. (1997) Weight Functions for Notches: Constructive and Variational Definition. Journal of Applied Mechanics 64:2, pages 270-274.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.