Strain gradient elasticity solution for functionally graded micro-cylinders

International Journal of Engineering Science

Volumn 50, Issue 1, 2012, Pages 22-30

  Sadeghi, H ^a   Baghani, M ^b   Naghdabadi, R ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Functionally graded materials; Micro cylinder; Series solution; Strain gradient elasticity

Indexed keywords

CHARACTERISTIC LENGTH; DISPLACEMENT FIELD; EXTERNAL PRESSURES; FOURTH ORDER; FUNCTIONALLY GRADED; GOVERNING DIFFERENTIAL EQUATIONS; MATERIAL PROPERTY; MICRO-CYLINDER; NUMERICAL EXAMPLE; POWER INDICES; POWER LAW; POWER SERIES SOLUTIONS; RADIAL DIRECTION; SERIES SOLUTION; STRAIN GRADIENT ELASTICITY; TANGENTIAL STRESS;

CYLINDERS (SHAPES); DIFFERENTIAL EQUATIONS; ELASTICITY; ELASTOHYDRODYNAMICS; STRAIN MEASUREMENT; STRESS CONCENTRATION;

FUNCTIONALLY GRADED MATERIALS;

EID: 80054892770     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijengsci.2011.09.006     Document Type: Article

References (28)

1. B.S. Altan, and E.C. Aifantis On some aspects in the special theory of gradient elasticity Journal of Mechanical Behavior of Materials 8 1997 231 282 (Pubitemid 128021965)
2. M. Asghari, M. Ahmadian, M. Kahrobaiyan, and M. Rahaeifard On the size-dependent behavior of functionally graded micro-beams Materials & Design 31 5 2010 2324 2329
3. Y.Z. Chen, and X.Y. Lin Elastic analysis for thick cylinders and spherical pressure vessels made of functionally graded materials Computational Materials Science 44 2008 581 587
4. F. Collin, D. Caillerie, and R. Chambon Analytical solutions for the thick-walled cylinder problem modeled with an isotropic elastic second gradient constitutive equation International Journal of Solids and Structures 46 22-23 2009 3927 3937
5. C.M. Craciunescu, and M. Wuttig New ferromagnetic and functionally graded shape memory alloys Journal of Optoelectronics and Advanced Materials 5 1 2003 139 146 (Pubitemid 37520315)
6. N.A. Fleck, G.M. Muller, M.F. Ashby, and J.W. Hutchinson Strain gradient plasticity: Theory and experiment Acta Metallurgica Et Materialia 42 2 1994 475 487
7. Y. Fu, H. Du, W. Huang, and S. Zhang Functionally graded TiN/TiNi shape memory alloy films Materials Letters 57 20 2003 2995 2999
8. Y. Fu, H. Du, W. Huang, S. Zhang, and M. Hu TiNi-based thin films in MEMS applications: A review Sensors and Actuators, A: Physical 112 2-3 2004 395 408
9. Y. Fu, and J. Zhang Modeling and analysis of microtubules based on a modified couple stress theory Physica E: Low-dimensional Systems and Nanostructures 42 5 2010 1741 1745
10. J.M. Huang, A. Liu, Z. Deng, and Q. Zhang A modeling and analysis of spring-shaped torsion micromirrors for low-voltage applications International Journal of Mechanical Sciences 48 6 2006 650 661
11. M.H. Kahrobaiyan, M. Asghari, M. Rahaeifard, and M.T. Ahmadian A nonlinear strain gradient beam formulation International Journal of Engineering Science 49 11 2011 1256 1267
12. M.H. Kahrobaiyan, S.A. Tajalli, M.R. Movahhedy, J. Akbari, and M.T. Ahmadian Torsion of strain gradient bars International Journal of Engineering Science. 49 9 2011 856 866
13. S. Kong, S. Zhou, Z. Nie, and K. Wang Static and dynamic analysis of micro beams based on strain gradient elasticity theory International Journal of Engineering Science 47 2009 487 498
14. S.A.H. Kordkheili, and R. Naghdabadi Thermoelastic analysis of a functionally graded rotating disk Composite Structures 79 2007 508 516 (Pubitemid 46351867)
15. X.-L. Gao, and S.K. Park Variational formulation of a simplified strain gradient elasticity theory and its application to a pressurized thick-walled cylinder problem International Journal of Solids and Structures 44 22-23 2007 7486 7499 (Pubitemid 47451406)
16. D.C.C. Lam, F. Yang, A.C.M. Chong, J. Wang, and P. Tong Experiments and theory in strain gradient elasticity Journal of the Mechanics and Physics of Solids. 51 2003 1477 1508
17. S. Li, I. Miskioglu, and B.S. Altan Solution to line loading of a semi-infinite solid in gradient elasticity International Journal of Solids and Structures 41 2004 3395 3410 (Pubitemid 38571158)
18. A.W. McFarland, and J.S. Colton Role of material microstructure in plate stiffness with relevance to microcantilever sensors Journal of Micromechanics and Microengineering 15 2005 1060 1067 (Pubitemid 41237440)
19. R.D. Mindlin Micro-structure in linear elasticity Archive for Rational Mechanics and Analysis 16 1964 51 78
20. R.D. Mindlin Second gradient of strain and surface-tension in linear elasticity International Journal of Solids and Structures 1 1965 417 438
21. R.D. Mindlin, and N.N. Eshel On first strain-gradient theories in linear elasticity International Journal of Solids and Structures 1968 109 124
22. G.H. Paulino, A.C. Fannjiang, and Y.-S. Chan Gradient elasticity theory for mode iii fracture in functionally graded materials - Part I: Crack perpendicular to the material gradation Journal of Applied Mechanics 70 2003 531 542
23. J.S. Stölken, and A.G. Evans A microbend test method for measuring the plasticity length scale Acta Materialia 46 14 1998 5109 5115 (Pubitemid 128421651)
24. N. Tutuncu Stresses in thick-walled FGM cylinders with exponentially-varying properties Engineering Structures 29 2007 2032 2035 (Pubitemid 47181249)
25. N. Tutuncu, and M. Ozturk Exact Solution for stresses in functionally graded vessels Composites Part B 32 2001 683 686 (Pubitemid 33039409)
26. A. Witvrouw, and A. Mehta The use of functionally graded poly-SiGe layers for MEMS applications 2005 Trans Tech Publications
27. F. Yang, A.C.M. Chong, D.C.C. Lam, and P. Tong Couple stress based strain gradient theory for elasticity International Journal of Solids and Structures 39 10 2002 2731 2743 (Pubitemid 34617098)
28. Y. Yoshiyuki An intrinsic theory of a Cosserat continuum International Journal of Solids and Structures 4 10 1968 1013 1023