The Axisymmetric Problem of a Partially Insulated Mixed-Mode Crack Embedded in a Functionally Graded Pyro Magneto-Electro-Elastic Infinite Medium Subjected to Thermal Loading

REFERENCES

• T. L. Wua and J. H. Huang , Closed-Form Solutions for the Magneto Electric Coupling Coefficients in Fibrous Composites with Piezoelectric and Piezomagnetic Phases , Inter. J. Solids Struct. , vol. 37 , pp. 2981 – 3009 , 2000 .
   Web of Science ®Google Scholar
• Z. G. Zhou , Y. Chen , and B. Wang , The Behavior of Two Parallel Interface Cracks in Magneto-Electro-Elastic Materials Under an Anti-Plane Shear Stress Loading , Comp. Struct. , vol. 77 , pp. 97 – 103 , 2007 .
   Web of Science ®Google Scholar
• X. C. Zhong and X. F. Li , Magneto Electro Elastic Analysis for an Opening Crack in a Piezoelectromagnetic Solid , Euro. J. Mech. A/Solids , vol. 26 , pp. 405 – 417 , 2007 .
   Web of Science ®Google Scholar
• X. C. Zhong , Analysis of a Dielectric Crack in a Magneto Electro Elastic Layer , Inter. J. Solids Struct. , vol. 46 , pp. 4221 – 4230 , 2009 .
   Web of Science ®Google Scholar
• K. Q. Hu , Q. H. Qin , and Y. L. Kang , Anti-Plane Shear Crack in a Magneto Electro Elastic Layer Sandwiched Between Dissimilar Half Spaces , Eng. Fract. Mech. , vol. 74 , pp. 1139 – 1147 , 2007 .
   Web of Science ®Google Scholar
• K. Hu and G. Li , Electro-Magneto-Elastic Analysis of a Piezoelectromagnetic Strip with a Finite Crack Under Longitudinal Shear , Mech. Mater. , vol. 37 , pp. 925 – 934 , 2005 .
   Web of Science ®Google Scholar
• X. C. Zhong and X. F. Li , Fracture Analysis of a Magneto Electro Elastic Solid with a Penny-Shaped Crack by Considering the Effects of the Opening Crack Interior , Inter. J. Eng. Sci. , vol. 46 , pp. 374 – 390 , 2008 .
   Web of Science ®Google Scholar
• Z. G. Zhou , P. W. Zhang , and L. Z. Wu , The Closed Form Solution of a Mode-I Crack in the Piezoelectric/Piezomagnetic Materials , Inter. J. Solids Struct. , vol. 44 , pp. 419 – 435 , 2007 .
   Web of Science ®Google Scholar
• F. Erdogan , Fracture Mechanics of Functionally Graded Materials , Comp. Eng. , vol. 5 , pp. 753 – 770 , 1995 .
   Web of Science ®Google Scholar
• L. Ma , J. Li , R. Abdelmoula , and L. Z. Wu , Mode III Crack Problem in a Functionally Graded Magneto-Electro-Elastic Strip , Inter. J. Solids Struct. , vol. 44 , pp. 5518 – 5537 , 2007 .
   Web of Science ®Google Scholar
• L. Ma , L. Z. Wua , and L. P. Feng , Surface Crack Problem for Functionally Graded Magneto Electro Elastic Coating Homogeneous Elastic Substrate System Under Anti-Plane Mechanical and In-Plane Electric and Magnetic Loading , Eng. Fract. Mech. , vol. 76 , pp. 269 – 285 , 2009 .
   Web of Science ®Google Scholar
• Z. G. Zhou , B. Wang , Two Parallel Symmetry Permeable Cracks in Functionally Graded Piezoelectric/Piezomagnetic Materials Under Anti-Plane Shear Loading , Int. J. Solids Struct. , vol. 41 , pp. 4407 – 4422 , 2004 .
   Web of Science ®Google Scholar
• W. J. Feng and R. K. L. Su , Dynamic Fracture Behaviors of Cracks in a Functionally Graded Magneto-Electro-Elastic Plate , Euro. J. Mech. A/Solids , vol. 26 , pp. 363 – 379 , 2007 .
   Web of Science ®Google Scholar
• W. J. Feng and R. K. L. Su , Dynamic Internal Crack Problem of a Functionally Graded Magneto-Electro-Elastic Strip, Inter. J. Solids Struct. , vol. 43, pp. 5196–5216, 2006.
   Web of Science ®Google Scholar
• L. Jun , Scattering of Harmonic Anti-Plane Shear Stress Waves by a Crack in Functionally Graded Piezoelectric/Piezomagnetic Materials , Acta Mech. Solida Sinica , vol. 20 , pp. 75 – 86 , 2008 .
   Web of Science ®Google Scholar
• Z. G. Zhou and Z. T. Chen , Basic Solution of a Mode-I Limited-Permeable Crack in Functionally Graded Piezoelectric/Piezomagnetic Materials , Inter. J. Solids Struct. , vol. 45 , pp. 2265 – 2296 , 2008 .
   Web of Science ®Google Scholar
• Y. D. Li and K. Y. Lee , Anti-Plane Crack Intersecting the Interface in a Bonded Smart Structure with Graded Magneto Electro Elastic Properties , Theor. Appl. Fract. Mech. , vol. 50 , pp. 235 – 242 , 2008a .
   Web of Science ®Google Scholar
• Y. D. Li and K. Y. Lee , Fracture Analysis and Improved Design for a Symmetrically Bonded Smart Structure with Linearly Non-homogeneous Magneto Electro Elastic Properties , Eng. Fract. Mech. , vol. 75 , pp. 3161 – 3172 , 2008b .
   Web of Science ®Google Scholar
• L. F. Guo , X. Li , and S.H. Ding , Crack in a Bonded Functionally Graded Magneto-Electro-Elastic Strip , Comp. Mater. Sci. , vol. 46 , pp. 452 – 458 , 2009 .
   Web of Science ®Google Scholar
• B. L. Wang and J. C. Han , Multiple Cracking of Magneto Electro Elastic Materials in Coupling Thermo-Electro-Magneto-Mechanical Loading Environments , Comp. Mater. Sci. , vol. 39 , pp. 291 – 304 , 2007 .
   Web of Science ®Google Scholar
• J. Sladek , V. Sladek , P. Solek , and Zhang , Fracture Analysis in Continuously Nonhomogeneous Magneto-Electro-Elastic Solids Under a Thermal Load by the MLPG , Inter. J. Solids Struct. , vol. 47 , pp. 1381 – 1391 , 2010 .
   Web of Science ®Google Scholar
• M. Ozturk , Axisymmetric and Anti-Plane Shear Crack Problem in Bonded Nonhomogeneous Material, PhD Thesis, Lehigh University, Department of Mechanical Engineering and Mechanics , 1992 .
   Google Scholar
• M. Rekik , M. Neifar , and S. El-Borgi , An Axisymmetric Problem of an Embedded Crack in a Graded Layer Bonded to a Homogeneous Half-Space , Inter. J. Solids Struct. , vol. 47 , pp. 2043 – 2055 , 2010 .
   Web of Science ®Google Scholar
• M. Rekik , M. Neifar , and S. El-Borgi , An Axisymmetric Problem of a Partially Insulated Crack Embedded in a Graded Layer Bonded to a Homogeneous Half-Space Under Thermal Loading , J. Therm. Stresses , vol. 34 , pp. 1 – 27 , 2011 .
   Web of Science ®Google Scholar
• S. El-Borgi , F. Erdogan , and L. Hidri , A Partially Insulated Embedded Crack in an Infinite Functionally Graded Medium Under Thermo-mechanical Loading , Inter. J. Eng. Sci. , vol. 42 , pp. 371 – 393 , 2004 .
   Web of Science ®Google Scholar
• F. Erdogan , G. D. Gupta , and T. S. Cook , Numerical Solution of Singular Integral Equations . In: G. C. Sih , (Editor), Mechanics of Fracture , Nordhoff , Leyden , pp. 368 – 425 , 1973 .
   Google Scholar