Postbuckling of shear deformable FGM cylindrical shells surrounded by an elastic medium

International Journal of Mechanical Sciences

Volumn 51, Issue 5, 2009, Pages 372-383

  Shen, Hui Shen ^a,b  

^a School of Ocean and Civil Engineering   (China)

^b Shanghai Jiao Tong University   (China)

Author keywords

Contact buckling; Functionally graded cylindrical shell; Postbuckling; Tensionless elastic foundation model

Indexed keywords

AXIAL COMPRESSIVE LOAD; CONTACT BUCKLING; CONTACT REGIONS; CYLINDRICAL SHELL; ELASTIC FOUNDATION; ELASTIC MEDIUM; FINITE LENGTH; FOUNDATION STIFFNESS; FUNCTIONALLY GRADED; FUNCTIONALLY GRADED CYLINDRICAL SHELL; GRAPHICAL FORMS; HIGHER ORDER SHEAR DEFORMATION; INITIAL GEOMETRIC IMPERFECTION; ITERATIVE SCHEMES; KINEMATIC NONLINEARITY; MATERIAL PROPERTY; NUMERICAL RESULTS; NUMERICAL SOLUTION; PASTERNAK FOUNDATION; POSTBUCKLING; POSTBUCKLING ANALYSIS; POSTBUCKLING BEHAVIOR; POSTBUCKLING RESPONSE; PREBUCKLING; SINGULAR PERTURBATION TECHNIQUE; TEMPERATURE DEPENDENT; TENSIONLESS ELASTIC FOUNDATION MODEL; THERMAL ENVIRONMENT; UNILATERAL CONSTRAINTS;

BEAMS AND GIRDERS; BIOLOGICAL ORGANS; FOUNDATIONS; FUNCTIONALLY GRADED MATERIALS; LAMINATED COMPOSITES; PERTURBATION TECHNIQUES; PLATES (STRUCTURAL COMPONENTS); SHEAR DEFORMATION;

SHELLS (STRUCTURES);

EID: 67349161373     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmecsci.2009.03.006     Document Type: Article

References (29)

1. Forrestal M.J., and Herrmann G. Buckling of a long cylindrical shell surrounded by an elastic medium. International Journal of Solids and Structures 1 (1965) 297-309
2. Chan H.C., and McMinn S.J. The stabilization of the steel liner of a prestressed concrete pressure vessel. Nuclear Engineering and Design 3 (1966) 66-73
3. Cheney J.A. Buckling of soil-surrounded tubes. Journal of Engineering Mechanics ASCE 97 (1971) 1121-1132
4. Duns C.S., and Butterfield R. Flexible buried cylinders: Part III-Buckling behaviour. International Journal of Rock Mechanics and Mining Science & Geomechanics Abstracts 8 (1971) 613-627
5. Moore I.D., and Booker J.R. Simplified theory for the behavior of buried flexible cylinders under the influence of uniform hoop compression. International Journal of Solids and Structures 21 (1985) 929-941
6. Shimizu Y., and Moriwaki Y. Buckling strength of lining shells of pressure vessels. Journal of Pressure Vessel Technology ASME 114 (1992) 308-314
7. Naili S., and Oddou C. Buckling of short cylindrical shell surrounded by an elastic medium. Journal of Applied Mechanics ASME 67 (2000) 212-214
8. Croll J.G.A. Buckling of cylindrical tunnel liners. Journal of Engineering Mechanics ASCE 127 (2001) 333-341
9. Fok S L. Analysis of the buckling of long cylindrical shells embedded in an elastic medium using the energy method. Journal of Strain Analysis for Engineering Design 37 (2002) 375-383
10. Noda N. Thermal stresses in materials with temperature-dependent properties. Applied Mechanics Reviews 44 (1991) 383-397
11. Tanigawa Y. Some basic thermoelastic problems for nonhomogeneous structural materials. Applied Mechanics Reviews 48 (1995) 287-300
12. Sheng G.G., and Wang X. Thermal vibration, buckling and dynamic stability of functionally graded cylindrical shells embedded in an elastic medium. Journal of Reinforced Plastics and Composites 27 (2008) 117-134
13. Chai H. Contact buckling and postbuckling of thin rectangular plates. Journal of Mechanics and Physics of Solids 49 (2001) 209-230
14. Silva A.D.R., Silveira R.A.M., and Goncalves P B. Numerical methods for analysis of plates on tensionless elastic foundations. International Journal of Solids and Structures 38 (2001) 2038-2100
15. de Holanda A S., and Goncalves P B. Postbuckling analysis of plates resting on a tensionless elastic foundation. Journal of Engineering Mechanics ASCE 129 (2003) 438-448
16. Shen H.-S., and Teng J.G. Postbuckling analysis of unilaterally constrained laminated thin plates. Composite Structures 66 (2004) 571-578
17. Shen H.-S., and Li Q.S. Postbuckling of shear deformable laminated plates resting on a tensionless elastic foundation subjected to mechanical or thermal loading. International Journal of Solids and Structures 41 (2004) 4769-4785
18. Shen H.-S., and Xiang Y. Thermomechanical postbuckling of unilaterally constrained shear deformable laminated plates with temperature-dependent properties. International Journal of Non-Linear Mechanics 41 (2006) 1161-1173
19. Silveira R.A.M., Pereira W.L.A., and Goncalves P B. Nonlinear analysis of structural elements under unilateral contact constraints by a Ritz type approach. International Journal of Solids and Structures 45 (2008) 2629-2650
20. Kubrusly R.S. On the existence of post-buckling solutions of shallow shells under a certain unilateral constraint. International Journal of Engineering Science 20 (1982) 93-99
21. Shen H.-S., and Noda N. Postbuckling of FGM cylindrical shells under combined axial and radial mechanical loads in thermal environments. International Journal of Solids and Structures 42 16-17 (2005) 4641-4662
22. Shen H.-S. Thermal postbuckling of shear deformable FGM cylindrical shells with temperature-dependent properties. Mechanics of Advanced Materials and Structures 14 (2007) 439-452
23. Reddy J.N., and Chin C.D. Thermomechanical analysis of functionally graded cylinders and plates. Journal of Thermal Stresses 21 (1998) 593-629
24. Reddy J N., and Liu C F. A higher-order shear deformation theory of laminated elastic shells. International Journal of Engineering Science 23 (1985) 319-330
25. Shen H.-S., and Li Q S. Thermomechanical postbuckling of shear deformable laminated cylindrical shells with local geometric imperfections. International Journal of Solids and Structures 39 (2002) 4525-4542
26. Touloukian Y.S. Thermophysical Properties of High Temperature Solid Materials (1967), McMillan, New York
27. Shen H.-S. Postbuckling analysis of axially-loaded functionally graded cylindrical shells in thermal environments. Composites Science and Technology 62 7-8 (2002) 977-987
28. Shen H.-S. Postbuckling of axially-loaded FGM hybrid cylindrical shells in thermal environments. Composites Science and Technology 65 11-12 (2005) 1675-1690
29. Paliwal D N., Pandey R K., and Nath T. Free vibration of circular cylindrical shell on Winkler and Pasternak foundations. International Journal of Pressure Vessel and Piping 69 (1996) 79-89