On the three-dimensional undulation instability of a rectangular viscoelastic composite plate in biaxial compression

Mechanics of Composite Materials

Volumn 45, Issue 1, 2009, Pages 65-76

  Kutug, Z ^a  

^a YILDIZ TECHNICAL UNIVERSITY   (Turkey)

Author keywords

Composite; Critical time; Rectangular plate; Rheological parameters; Undulation instability; Viscoelastic composite

Indexed keywords

COMPOSITE; CRITICAL TIME; RECTANGULAR PLATE; RHEOLOGICAL PARAMETERS; UNDULATION INSTABILITY; VISCOELASTIC COMPOSITE;

COMPOSITE MICROMECHANICS; DEFORMATION; DIFFERENTIAL EQUATIONS; LAPLACE TRANSFORMS; LINEARIZATION; PLATES (STRUCTURAL COMPONENTS); RHEOLOGY; STABILITY; THREE DIMENSIONAL;

COMPOSITE MATERIALS;

EID: 63949087026     PISSN: 01915665     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11029-009-9066-9     Document Type: Article

References (25)

1. I Yu Babich AN Guz VN Chechov 2001 The three-dimensional theory stability of fibrous and laminated materials Int. Appl. Mech. 37 9 1103 1141
2. I Yu Babich AN Guz' 2002 Stability of composite structural members (three-dimensional formulation) Int. Appl. Mech. 38 9 1048 1075
3. A. N. Guz, Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies, Verlag-Berlin, Springer, Heidelberg (1999).
4. AN Guz' 2006 Three-dimensional theory of stability of carbon nanotube in matrix Int. Appl. Mech. 42 1 22 37
5. AN Guz' IA Guz' 2006 On the models in the theory of stability of multiwalled carbon nanotubes in the matrix Int. Appl. Mech. 42 6 3 24
6. F Gerard AA Gilbert 1958 Critical strain approach to creep buckling of plates and shells J. Aeronaut. Sci. 25 7 429 438
7. N. J. Hoff, "Buckling and stability," J. Roy. Aeronaut. Soc., 58, No. 1 (1954).
8. SD Akbarov 1998 On the three-dimensional stability loss problems of elements of structures of viscoelastic composite materials Mech. Compos. Mater. 34 6 537 544
9. SD Akbarov R Tekercioglu 2007 Surface undulation instability of the viscoelastic half-space covered with stack of layers in bi-axial compression Int. J. Mech. Sci. 49 778 789
10. SD Akbarov R Kosker 2001 Fiber buckling in a viscoelastic matrix Mech. Compos. Mater. 37 1 299 306
11. SD Akbarov T Sisman N Yahnioglu 1997 On the fracture of the unidirectional composites in compression Int. J. Eng. Sci. 35 12/13 1115 1136
12. SD Akbarov N Yahnioglu 2001 A method of investigation of the general theory of stability problems on structural elements fabricated from viscoelastic composite materials Composites, Pt. B: Engineering 32 475 482
13. SD Akbarov A Cilli AN Guz 1999 The theoretical strength limit in compression of viscoelastic layered composite materials Composites, Pt. B: Engineering 30 365 472
14. S. D. Akbarov and A. N. Guz, Mechanics of Curved Composites, Kluwer Academic, Dortrecht-Boston-London (2000).
15. SD Akbarov R Kosker 2004 Internal stability loss of two neighboring fibers in a viscoelastic matrix Int. J. Eng. Sci. 42 1847 1873
16. SD Akbarov R Tekercioglu 2006 Near-surface buckling instability of a system consisting of a moderately rigid substrate, a viscoelastic bond layer, and an elastic covering layer Mech. Compos. Mater. 42 4 363 372
17. SD Akbarov N Yahnioglu Z Kutug 2001 On the three-dimensional stability loss problem of the viscoelastic composite plate Int. J. Eng. Sci. 39 1443 1457
18. Z Kutug N Yahnioglu SD Akbarov 2003 The loss of stability analyses of an elastic and viscoelastic composite circular plate in the frame work of the three-dimensional linearized theory Eur. J. Mech., A/Solids 22 243 256
19. S Selim SD Akbarov 2003 FEM analyses of the three-di mensional buckling problem for a clamped thick rectangular plate made of a viscoelastic composite Mech. Compos. Mater. 39 6 531 540
20. N Yahnioglu SD Akbarov 2002 Stability loss analyses of the elastic and viscoelastic composite rotating thick circular plate in the frame work of the three-dimensional linearized theory of stability Int. J. Mech. Sci. 44 1225 1244
21. A Kromm 1955 Überdie Randguer Kraftebei Gestutzten Platten ZAMM 35 231 241
22. SD Akbarov AN Guz 2004 Mechanics of curved composites and some related problems for structural members Mech. Adv. Mater. Struct. 11 6, Pt. II 445 515
23. R. A. Schapery, "Approximate methods of transform in version for viscoelastic stress analyses," in: Proc. US Nat. Congr. Appl. Mech. Vol. 4, ASME (1966), pp. 1075-1085.
24. Yu. N. Rabotnov, Elements of Hereditary Mechanics of Solid Bodies [in Russian], Nauka, Moscow (1977).
25. R. M. Christensen, Mechanics of Composite Materials, Wiley, New York (1979).