Magnetothermoelastic stress and perturbation of magnetic field vector in a functionally graded hollow sphere

Archive of Applied Mechanics

Volumn 80, Issue 2, 2010, Pages 189-200

  Ali, Ghorbanpour Arani ^a   Salari, M ^b   Khademizadeh, H ^b   Arefmanesh, A ^a  

^a UNIVERSITY OF KASHAN   (Iran)

^b ISFAHAN UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

FGM; Hollow sphere; Magnetothermoelastic; Perturbation of magnetic field vector

Indexed keywords

CLOSED FORM SOLUTIONS; EXPONENTIAL DISTRIBUTIONS; FUNCTIONALLY GRADED; GEOMETRIC FUNCTIONS; GOVERNING EQUATIONS; HOLLOW SPHERE; INHOMOGENEITIES; INTERNAL PRESSURE; MAGNETO-THERMOELASTIC PROBLEMS; MAGNETO-THERMOELASTICITY; MAGNETOTHERMOELASTIC; MATERIAL PROPERTY; NONHOMOGENEITY; PERTURBATION OF MAGNETIC FIELD VECTOR; RADIAL DIRECTION; STRESS FIELD; TEMPERATURE FIELD;

BEAMS AND GIRDERS; FUNCTIONALLY GRADED MATERIALS; MAGNETIC FIELDS; SPHERES; VECTORS;

MAGNETIC MATERIALS;

EID: 76749146043     PISSN: 09391533     EISSN: 14320681     Source Type: Journal    
DOI: 10.1007/s00419-009-0312-3     Document Type: Article

References (13)

1. M.P. Lutz R.W. Zimmerman 1996 Thermal stresses and effective thermal expansion coefficient of a functionally graded sphere J. Therm. Stress 19 39 54 10.1080/01495739608946159 1421674
2. R.W. Zimmerman M.P. Lutz 1999 Thermal stresses and effective thermal expansion in a uniformly heated functionally graded cylinder J. Therm. Stress 22 177 188 10.1080/014957399280959
3. L.H. You J.J. Zhang X.Y. You 2005 Elastic analysis of internally pressurized thick-walled spherical pressure vessels of functionally graded materials Int. J. Press. Vessel. Pip. 82 347 354 10.1016/j.ijpvp.2004.11.001 (Pubitemid 40251925)
4. Y. Obata N. Noda 1994 Steady thermal stresses in a hollow circular cylinder and a hollow sphere of a functionally gradient material J. Therm. Stress 17 471 487 10.1080/01495739408946273
5. M.R. Eslami M.H. Babaei R. Poultangari 2005 Thermal and mechanical stresses in a functionally graded thick sphere Int. J. Press. Vessel. Pip. 82 522 527 10.1016/j.ijpvp.2005.01.002 (Pubitemid 40533969)
6. A. Nayebi R. El Abdi 2002 Cyclic plastic and creep behaviour of pressure vessels under thermomechanical loading Comput. Mater. Sci. 25 285 296 10.1016/S0927-0256(02)00218-5 (Pubitemid 35251732)
7. H.L. Dai Y.M. Fu Z.M. Dong 2006 Exact solution for functionally graded pressure vessels in a uniform magnetic field Int. J. Solids Struct. 43 5570 5580 1120.74477 10.1016/j.ijsolstr.2005.08.019 (Pubitemid 44067007)
8. H.L. Dai Y.M. Fu 2007 Magnetothermoelastic interaction in hollow structures of functionally graded material subjected to mechanical loads Int. J. Press. Vessel. Pip. 84 132 138 10.1016/j.ijpvp.2006.10.001 (Pubitemid 46202142)
9. A.M. Abd-Alla M.A. Fahmy T.M. El-Shahat 2008 Magneto-thermo-elastic problem of a rotating nonhomogeneous anisotropic solid cylinder J. Arch. Appl. Mech. 78 2 135 148 1161.74375 10.1007/s00419-007-0147-8 (Pubitemid 350276076)
10. Ghorbanpour, A., Salari, M., Khademizadeh. H., Arefmanesh, A.: Magnetothermoelastic transient response of a functionally graded thick hollow sphere subjected to magnetic and thermoelastic fields. J. Arch. Appl. Mech. 79, (2008) (online first)
11. Kraus J.D.: Electromagnetic. McGraw-Hill, New York (1984)
12. H.L. Dai X. Wang 2004 Dynamic responses of piezoelectric hollow cylinders in an axial magnetic field Int. J. Solids. Struct 41 5231 5246 02211721 10.1016/j.ijsolstr.2004.04.019
13. Seaborn J.B.: Hypergeometric Functions and Their Applications. Springer, New York (1991)