A double-superposition global-local theory for vibration and dynamic buckling analyses of viscoelastic composite/sandwich plates: A complex modulus approach

Archive of Applied Mechanics

Volumn 81, Issue 9, 2011, Pages 1253-1268

  Shariyat, M ^a  

^a K N TOOSI UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Composite; Dynamic buckling; High order global local theory; Sandwich plate; Vibration; Viscoelastic

Indexed keywords

COMPOSITE; DYNAMIC BUCKLING; HIGH-ORDER; SANDWICH PLATES; VISCOELASTIC;

BUCKLING; MATERIALS PROPERTIES;

VIBRATION ANALYSIS;

EID: 80052446954     PISSN: 09391533     EISSN: 14320681     Source Type: Journal    
DOI: 10.1007/s00419-010-0483-y     Document Type: Article

References (51)

1. Shariyat, M.: Three energy-based multiaxial HCF criteria for fatigue life determination in components under random nonproportional stress fields. Fatigue Fract. Eng. Mater. Struct. 32, 785-808 (2009)
2. Shariyat, M., Djamshidi, P.: Minimizing the engine-induced harshness based on the DOE method and sensitivity analysis of the full vehicle NVH model. Int. J. Automot. Tech. 10(6), 687-696 (2009)
3. Drozdov, A.: Viscoelastic Structures: Mechanics of Growth and Aging. Academic Press, London (1998)
4. Hal, F., Brinson, L.: Catherine Brinson, Polymer Engineering Science and Viscoelasticity: An Introduction. Springer, LLC, Berlin (2008)
5. Shariyat, M.: Dynamic thermal buckling of suddenly heated temperature-dependentFGMcylindrical shells, under combined axial compression and external pressure. Int. J. Solids Struct. 45, 25 (2008)
6. Shariyat, M.: Dynamic buckling of suddenly loaded imperfect hybrid FGM cylindrical shells with temperature-dependent material properties under thermo-electro-mechanical loads. Int. J. Mech. Sci. 50, 1561-1571 (2008)
7. Shariyat, M.: Vibration and dynamic buckling control of imperfect hybrid FGM plates with temperature-dependent material properties subjected to a thermo-electro-mechanical loading conditions. Compos. Struct. 88, 240-252 (2009)
8. Shariyat, M.: Dynamic buckling of imperfect laminated plates with piezoelectric sensors and actuators subjected to thermoelectromechanical loadings, considering the temperature-dependency of the material properties. Compos. Struct. 88, 228-239 (2009)
9. Matsunaga, H.: Assessment of a global higher-order deformation theory for laminated composite and sandwich plates. Compos. Struct. 56, 279-291 (2002) (Pubitemid 34500163)
10. Matsunaga, H.: A comparison between 2-D single-layer and 3-D layerwise theories for computing interlaminar stresses of laminated composite and sandwich plates subjected to thermal loadings. Compos. Struct. 64, 161-177 (2004) (Pubitemid 38345837)
11. Robbins, D. H., Reddy, J. N.: Modelling of thick composites using a layerwise laminate theory. Int. J. Numer. Meth. Eng. 36, 665-677 (1993)
12. Shariyat, M.: Thermal buckling analysis of rectangular composite plates with temperature-dependent properties based on a layerwise theory. Thin Wall. Struct. 45, 439-452 (2007) (Pubitemid 46843420)
13. Plagianakos, T. S., Saravanos, D. A.: Higher-order layerwise laminate theory for the prediction of interlaminar shear stresses in thick composite and sandwich composite plates. Compos. Struct. 87(1), 23-35 (2009)
14. Dafedar, J. B., Desai, Y. M.: Thermomechanical buckling of laminated composite plates using mixed, higher-order analytical formulation. J. Appl. Mech. 69, 790-799 (2002) (Pubitemid 35382061)
15. Rao, M. K., Desai, Y. M.: Analytical solutions for vibrations of laminated and sandwich plates using mixed theory. Comp. Struct. 63, 316-373 (2004)
16. Plagianakos, T. S., Saravanos, D. A.: High-order layerwise finite element for the damped free-vibration response of thick composite and sandwich composite plates. Int. J. Numer. Meth. Eng. 77(11), 1593-1626 (2009)
17. Shariyat, M., Eslami, M. R.: On thermal dynamic buckling analysis of imperfect laminated cylindrical shells. ZAMM 80(3), 171-182 (2000)
18. Eslami, M. R., Shariyat, M., Shakeri, M.: Layerwise theory for dynamic buckling and postbuckling of laminated composite cylindrical shells. AIAA J. 36(10), 1874-1882 (1998) (Pubitemid 128551072)
19. Eslami, M. R., Shariyat, M.: A higher order theory for dynamic buckling and postbuckling analysis of laminated cylindrical shells. Trans. ASME J. Press. Ves. Tech. 121(1), 94-102 (1999)
20. Oh, J., Cho, M.: A finite element based on cubic zig-zag plate theory for the prediction of thermo-electric-mechanical behaviors. Int. J. Solids Struct. 41(5-6), 1357-1375 (2004) (Pubitemid 38149656)
21. Demasi, L.: Refined multilayered plate element based on Murakami zig-zag functions. Compos. Struct. 70, 308-316 (2005) (Pubitemid 40869996)
22. Di Sciuva, M., Gherlone, M.: Aglobal/local third-order Hermitian displacement fieldwith damaged interfaces and transverse extensibility: analytical formulation. Compos. Struct. 59, 419-431 (2003) (Pubitemid 36166760)
23. Kapuria, S., Achary, G. G. S.: An efficient higher-order zigzag theory for laminated plates subjected to thermal loading. Int. J. Solids Struct. 41, 4661-4684 (2004) (Pubitemid 38814636)
24. Ganapathi, M., Patel, B. P., Makhecha, D. P.: Nonlinear dynamic analysis of thick composite/sandwich laminates using an accurate higher-order theory. Compos. B 35, 345-355 (2004)
25. Li, X., Liu, D.: A laminate theory based on global-local superposition. Commun. Numer. Meth. Eng. 11, 633-641 (1995)
26. Li, X., Liu, D.: Generalized laminate theories based on double superposition hypothesis. Int. J. Numer. Meth. Eng. 40, 1197-1212 (1997) (Pubitemid 127571880)
27. Wu, Z., Chen, W.: Free vibration of laminated composite and sandwich plates using global-local higher-order theory. J. Sound Vib. 298, 333-349 (2006)
28. Wu, Z., Chen, W.: A study of global-local higher-order theories for laminated composite plates. Compos. Struct. 79, 44-54 (2007)
29. Wu, Z., Cheung, Y. K., Lo, S. H., Chen, W.: Effects of higher-order global-local shear deformations on bending, vibration and buckling of multilayered plates. Compos. Struct. 82, 277-289 (2008) (Pubitemid 47413153)
30. Shariyat, M.: A generalized high-order global-local plate theory for nonlinear bending and buckling analyses of imperfect sandwich plates subjected to thermo-mechanical loads. Compos. Struct. 92, 130-143 (2010)
31. Shariyat, M.: Non-linear dynamic thermo-mechanical buckling analysis of the imperfect sandwich plates based on a generalized three-dimensional high-order global-local plate theory. Compos. Struct. 92, 72-85 (2010)
32. Shariyat, M.: A generalized global-local high-order theory for bending and vibration analyses of sandwich plates subjected to thermo-mechanical loads. Int. J. Mech. Sci. 52, 495-514 (2010)
33. Chandra, R., Singh, S. P., Gupta, K.: Damping studies in fiber-reinforced composites-a review. J Compos. Struct. 46(1), 41-51 (1999) (Pubitemid 29456557)
34. Malekzadeh, K., Khalili, M. R., Mittal, R. K.: Local and global damped vibrations of plates with a viscoelastic soft flexible core: an improved high-order approach. J. Sandw. Struct. Mater. 7, 431-456 (2005) (Pubitemid 41375534)
35. Ganapathi, M., Patel, B. P., Touratier, M.: Influence of amplitude of vibrations on loss factors of laminated composite beams and plates. J. Sound Vib. 219, 730-738 (1999) (Pubitemid 129550259)
36. Hu, Y.-C., Haung, S.-C.: The frequency response and damping effect of three-layer thin shell with viscoelastic core. Comput. Struct. 76, 577-591 (2000)
37. Meunier, M., Shenoi, R. A.: Dynamic analysis of composite plates with damping model using high-order shear deformation theory. J. Compos. Struct. 54, 243-254 (2001) (Pubitemid 32956848)
38. Nayak, A. K., Shenoi, R. A., Moy, S. S. J.: Analysis of damped composite sandwich plates using plate bending elements with substitute shear strain fields based on Reddy's higher order theory. Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci. 216(5), 591-606 (2002) (Pubitemid 34604828)
39. Makhecha, D. P., Ganapathi, M., Patel, B. P.: Vibration and damping analysis of laminated/sandwich composite plates using higher-order theory. J. Reinf. Plas. Comp. 21(6), 559-575 (2002) (Pubitemid 34566729)
40. Lee, D. G., Kosmatka, J. B.: Damping analysis of composite sandwich plates with zig-zag triangular elements. AIAA J. 40(6), 1211-1219 (2002) (Pubitemid 34648455)
41. Moreira, R. A. S., Rodrigues, J. D.: Alayerwisemodel for thin soft core sandwich plates. Comput. Struct. 84, 1256-1263 (2006) (Pubitemid 43816658)
42. Pradeep, V., Ganesan, N.: Thermal buckling and vibration behavior ofmulti-layer rectangular viscoelastic sandwich plates. J. Sound Vib. 310, 169-183 (2008) (Pubitemid 350137997)
43. Araújo, A. L., Mota Soares, C. M., Mota Soares, C. A., Herskovits, J.: Optimal design and parameter estimation of frequency dependent viscoelastic laminated sandwich composite plates. Compos. Struct. 92(9), 2321-2327 (2010)
44. Touati, D., Cederbaum, G.: Influence of large deflections on the dynamic stability of nonlinear viscoelastic plates. Acta Mech. 113, 215-231 (1995)
45. Touati, D., Cederbaum, G.: Postbuckling of non-linear viscoelastic imperfect laminated llates part II: structural analysis. Compos. Struct. 42, 43-51 (1998)
46. Batra, R. C., Wei, Z.: Dynamic buckling of a thin thermoviscoplastic rectangular plate. Thin-Walled Struct. 43, 273-290 (2005)
47. Pradeep, V., Ganesan, N.: Thermal buckling and vibration behavior of multi-layer rectangular viscoelastic sandwich plates. J. Sound Vib. 310, 169-183 (2008) (Pubitemid 350137997)
48. Lakes, R. S.: Viscoelastic Materials. 1st edn. Cambridge University Press, Cambridge (2009)
49. Shariyat, M.: Non-linear dynamic thermo-mechanical buckling analysis of the imperfect laminated and sandwich cylindrical shells based on a global-local theory inherently suitable for non-linear analyses. Int. J. Non Linear Mech. (2010). doi:10. 1016/j.ijnonlinmec.2010.09.006
50. Araújo, A. L., Mota Soares, C. M., Mota Soares, C. A.: Finite element model for Hybrid active-passive damping analysis of anisotropic laminated sandwich structures. J. Sandwich Struct. Mater. (2009). doi:10.1177/1099636209104534
51. Duigou, L., Daya, E. M., Potier-Ferry, M.: Iterative algorithms for non-linear eigenvalue problems: application to vibrations of vscoelastic shells. Comput. Meth. Appl. Mech. Eng. 192, 1323-1335 (2003) (Pubitemid 36333624)