Exact solutions for rectangular Mindlin plates under in-plane loads resting on Pasternak elastic foundation. Part I: Buckling analysis

Computational Materials Science

Volumn 44, Issue 3, 2009, Pages 968-978

  Akhavan, H ^a   Hosseini Hashemi, Sh ^b   Damavandi Taher, H Rokni ^b   Alibeigloo, A ^a   Vahabi, Sh ^b  

^a BU ALI SINA UNIVERSITY   (Iran)

^b IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Iran)

Author keywords

Elastic foundation; In plane buckling load; Mindlin theory; Rectangular plate

Indexed keywords

ASPECT RATIO; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; BUCKLING; FOUNDATIONS; GEOTECHNICAL ENGINEERING; PRESSURE DROP; THEOREM PROVING; THREE DIMENSIONAL;

BUCKLING ANALYSIS; CHARACTERISTIC EQUATIONS; CLOSED FORMS; CONTOUR PLOTS; CRITICAL BUCKLING LOADS; ELASTIC FOUNDATION; ELASTIC FOUNDATIONS; EXACT SOLUTIONS; FIRST ORDERS; FOUNDATION STIFFNESSES; IN-PLANE BUCKLING LOAD; LARGE RANGES; LOADING FACTORS; MINDLIN PLATE THEORIES; MINDLIN PLATES; MINDLIN THEORY; MODE SHAPES; OPPOSITE EDGES; PASTERNAK; PLATE PARAMETERS; RECTANGULAR PLATE; RECTANGULAR PLATES; SHEAR DEFORMATION EFFECTS; SHEAR LAYERS; SIMPLY SUPPORTED; WINKLER MODELS;

PLATES (STRUCTURAL COMPONENTS);

EID: 57349097870     PISSN: 09270256     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.commatsci.2008.07.004     Document Type: Article

References (30)

1. Brush D.O., and Almroth B.O. Buckling of Bars, Plates and Shells (1975), McGraw-Hill Book Company, NewYork
2. D.J. Michelussi, Free vibration and buckling analysis of thin rectangular plates with classical boundary conditions under unilateral in-plane loads, M.Sc. Thesis, Department of Mech. Eng., University of Ottawa, 1996.
3. Timoshenko S., and Gere J. Theory of Elastic Stability. second ed. (1963), McGraw-Hill Book Company, New York
4. Bert C.W., and Devarakonda K.K. Int. J. Solids Struct. 40 (2003) 4097-4106
5. Kang J.H., and Leissa A.W. Int. J. Struct. Stabil. Dynam. 1 (2001) 527-543
6. Leissa A.W., and Kang J.H. Int. J. Mech. Sci. 44 (2002) 1925-1945
7. Kang J.H., and Leissa A.W. Int. J. Solids Struct. 42 (2005) 4220-4238
8. Mindlin R.D. J. Appl. Mech-T ASME 18 (1951) 31-38
9. Mindlin R.D., Schaknow A., and Deresiewicz H. J. Appl. Mech-T ASME 23 (1956) 430-436
10. Brunelle E.J. AIAA J. 9 (1971) 1018-1022
11. Dawe D.J., and Roufaeil O.L. Comput. Struct. 15 (1982) 461-471
12. Wang C.M., Liew K.M., Xiang Y., and Kitipornchai S. Int. J. Solids Struct. 30 (1993) 1-17
13. Xiang Y., Wang C.M., Liew K.M., and Kitipornchai S. J. Eng. Mech-ASCE 119 (1993) 1-18
14. Liew K.M., Xiang Y., and Kitipornchai S. Int. J. Mech. Sci. 38 (1996) 1127-1138
15. Liew K.M., and Chen X.L. Int. J. Solids Struct. 41 (2004) 1677-1695
16. Hosseini-Hashemi Sh., Khorshidi K., and Amabili M. J. Sound Vib. 315 (2008) 318-342
17. Bert C.W., Jang S.K., and Striz A.G. AIAA J. 26 (1988) 612-618
18. Wang X., Bert C.W., and Striz A.G. Comput. Struct. 48 (1993) 473-479
19. Wang X., Gan L., and Wang Y. J. Sound Vib. 298 (2006) 420-431
20. Civalek O. Eng. Struct. 26 (2004) 171-186
21. Teo T.M., and Liew K.M. Int. J. Solids Struct. 36 (1999) 1149-1168
22. Liu F.L. Int. J. Solids Struct. 38 (2001) 2305-2321
23. Srinivas S.R., and Rao A.K. AIAA J. 7 (1969) 1645-1646
24. Liew K.M., and Teo T.M. Comput. Method Appl. M 159 (1998) 369-381
25. Civalek O. Int. J. Mech. Sci. 49 (2007) 752-765
26. M.M. Filonenko-Borodich, Some approximate theories of the elastic foundation, Uchenyie Zapiski Moskovskogo Gosudarstuennogo Universiteta Mechanika 46 (1940) 3-18, (in Russian).
27. P.L. Pasternak, On a new method of analysis of an elastic foundation by means of two foundation constants, Gosudarstvennoe Izdatelstvo Literaturi po Stroitelstvu i Arkhitekture, Moscow, 1954, (in Russian).
28. Kerr A.D. J. Appl. Mech. 31 3 (1964) 491-498
29. V.Z. Vlasov, U.N. Leontev, Beams, plates and shells on elastic foundations (translated from Russian), Israel Program for Scientific Translation, Jerusalem, Israel, 1966.
30. Lam K.Y., Wang C.M., and He X.Q. Eng. Struct. 22 (2000) 364-378