A mesh-free method for analysis of the thermal and mechanical buckling of functionally graded cylindrical shell panels

Computational Mechanics

Volumn 45, Issue 4, 2010, Pages 297-310

  Zhao, X ^a   Liew, K M ^a  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Buckling analysis; Element free; Functionally graded materials; Shear locking; Shells

Indexed keywords

BOUNDARY CONDITIONS; CERAMIC MATERIALS; COMPUTATIONAL MECHANICS; CYLINDERS (SHAPES); FUNCTIONALLY GRADED MATERIALS; LOCKS (FASTENERS); MESH GENERATION; SHELLS (STRUCTURES); VOLUME FRACTION;

BUCKLING ANALYSIS; CYLINDRICAL SHELL PANELS; ELEMENT-FREE; FIRST ORDER SHEAR DEFORMATION SHELL THEORIES; FUNCTIONALLY GRADED SHELL; POWER LAW DISTRIBUTION; SHEAR-LOCKING; SHELLS;

BUCKLING;

EID: 79955522533     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-009-0446-8     Document Type: Article

References (41)

1. Yamanouchi M, Hirai T, Shiota I (1990) Overall view of the P/M fabrication of functionally gradient materials. In: Proceedings of first international symposium on functionally gradient materials, Sendai, Japan, pp 59-64
2. Reddy JN, Chin CD (1998) Thermomechanical analysis of functionally graded cylinders and plates. J Therm Stresses 21:593-626
3. ObataY,NodaN (1996) Optimum material design for functionally gradient material plate. Archive Appl Mech 66:581-589
4. He XQ, Ng TY, Sivashanker S, Liew KM (2001) Active control of FGM plates with integrated piezoelectric sensors and actuators. Int J Solids Struct 38:1641-1655
5. Liew KM, Kitiporchai S, Zhang XZ, Lim CW (2003) Analysis of the thermal stress behavior of functionally graded hollow circular cylinders. Int J Solids Struct 40:2355-2380
6. Yang J, Shen HS (2002) Vibration characteristics and transient response of shear-deformable functionally graded plates in thermal environments. J Sound Vib 255:579-602
7. Feldman E, Aboudi J (1997) Buckling analysis of functionally graded plates subjected to uniaxial loading. Compos Struct 38:29-36
8. Shahsian R, Eslami MR (2003) Thermal buckling of functionally graded cylindrical shell. J Therm Stress 26:277-294
9. Bhangale RK, Ganesan N, Padmanabhan C (2006) Linear thermoelastic buckling and free vibration behavior of functionally graded truncated conical shells. J Sound Vib 292:341-371
10. Shen HS (2002) Postbuckling analysis of axially-loaded functionally graded cylindrical panels in thermal environment. Int J Solids Struct 39:5991-6010
11. Liew KM, Yang J, Kitipornchai S (2003) The postbuckling of piezoelectric FGM plates subjected to thermo-electro-mechanical loading. Int J Solids Struct 40:3869-3892
12. Liew KM, Yang J, Kitipornchai S (2004) Thermal postbuckling of laminated plates comprising FGM with temperature-dependent material properties. J Appl Mech ASME 71:839-850
13. Woo J, Merguid SA, Stranata JC, Liew KM (2005) Thermomechanical postbuckling analysis of moderately thick functionally graded plates and shallow shells. Int J Mech Sci 47:1147-1171
14. Yang J, LiewKM,WuYF, Kitipornchai S (2006) Thermo-mechanical post-buckling of FGM cylindrical panels with temperaturedependent properties. Int J Solids Struct 43:307-324
15. Krysl P, Belytschko T (1996) Analysis of thin shells by the element-free Galerkin method. Int J Numer Methods Eng 33:3057-3080
16. Li S, HaoW, LiuWK (2000) Numerical simulations of large deformation of thin shell structures using meshfree methods. Comput Mech 25:102-116
17. Liew KM, Wu HY, Ng TY (2002) Meshless method for modeling of human proximal femur: treatment of nonconvex boundaries and stress analysis. Comput Mech 28:390-400
18. Qian LF, Batra RC (2004) Transient thermoelastic deformations of a thick functionally graded plate. J Therm Stresses 27:705-740
19. Ferreira AJM, Batra RC, Roque CMC, Qian LF, Jorge RMN (2006) Natural frequencies of functionally graded plates. Compos Struct 75:593-600
20. Zhao X, Liew KM, Ng TY (2006) The element-free kp-Ritz method for free vibration analysis of conical shell panels. J Sound Vib 295:906-922
21. Liew KM, Ng TY, Zhao X (2006) Dynamic stability of rotating cylindrical shells subjected to periodic axial loads. Int J Solids Struct 43:7553-7570
22. Zhao X, Lee YY, LiewKM (2009) Free vibration analysis of functionally graded plates using element free kp-Ritz method. J Sound Vib 319:918-939
23. LiewKM,NgTY, ZhaoX (2005) Free vibration analysis of conical shells via the element-free kp-Ritz method. J Sound Vib 281:627-645
24. Touloukian YS (1967) Thermophysical properties of high temperature solid materials. McMillan, New York
25. Efraim E, Eisenberger M (2007) Exact vibration analysis of variable thickness thick annular isotropic and FGM plates. J Sound Vib 299:720-738
26. Chen JS, Pan C,Wu CT, LiuWK (1996) Reproducing kernel particle methods for large deformation analysis of nonlinear structures. Comput Methods Appl Mech Eng 139:195-227
27. Liu WK, Jun S, Zhang YF (1995) Reproducing kernel particle methods. Int J Numer Methods Eng 20:1081-1106
28. Chen JS, Wu CT, Yoon S, You Y (2001) A stabilized conforming nodal integration for Galerkin mesh-free methods. Int J Numer Methods Eng 50:435-466
29. Dolbow J, Belytschko T (1999) Numerical integration of Galerkin weak form in meshfree methods. Comput Mech 23:219-230
30. Chen JS, Wang DD (2004) Locking-free stabilized conforming nodal integration for meshfree Mindlin-Reisner plate formulation. Comput Methods Appl Mech Eng 193:1065-1083
31. Liu GR, Li Y, Dai KY, Luan MT, Xue W (2006) A linearly conforming RPIM for solids mechanics problems. Int J Comput Methods 3:401-428
32. Zhao X, Liu GR, Dai KY, Zhong ZH, Li GY, Han X (2008) Geometric nonlinear analysis of plates and cylindrical shells via a linearly conforming radial point interpolation method. Comput Mech 42:133-144
33. Soric J, Li Q, Jarak T, Atluri SN (2004) Meshless local Petrove-Galerkin formulation for ananlysis of thick plates. CMES Comput Model Eng Sci 4:349-357
34. Srinivas S, Rao AK (1973) Flexure of thick rectangular plates. J Appl Mech 40:298-299
35. Xiao JR, Batra RC, Gilhooley DF, Gillespie JW Jr, McCarthy MA (2007) Analysis of thick plates by using a higher-order shear and normal deformable plate theory andMLPGmethod with radial basis functions. Comput Methods Appl Mech Eng 196:979-987
36. Palazotto AN, Dennis ST (1992) Nonlinear analysis of shell structures. AIAA, Washington, DC
37. Reddy JN (2004) Mechanics of laminated composite plates and shells: theory and analysis, 2nd edn. CRC press, Boca Raton
38. Zhao X, Liu GR, Dai KY, Zhong ZH, Li GY, Han X (2009) A linearly conforming radial point interpolation method (LC-RPIM) for shells. Comput Mech 43:403-413
39. Cho M, Roh HY (2003) Development of geometrically exact new elements based on general curvilinear coordinates. Int J Numer Methods Eng 56:81-115
40. Timoshenko S, Gere J (1961) Theory of elastic stability, 2nd edn. McGraw-Hill, New York
41. Hilburger MW, Britt V, Nemeth MP (2001) Buckling behavior of compression-loaded quasi-isotropic curved panels with a circular cutout. Int J Solids Struct 38:1495-1522