Structural modeling of sandwich structures with lightweight cellular cores

Acta Mechanica Sinica/Lixue Xuebao

Volumn 23, Issue 5, 2007, Pages 545-559

  Liu, T ^a   Deng, Z C ^a,b   Lu, T J ^c  

^a NORTHWESTERN POLYTECHNICAL UNIVERSITY   (China)

^b DALIAN UNIVERSITY OF TECHNOLOGY   (China)

^c XI'AN JIAOTONG UNIVERSITY   (China)

Author keywords

Cellular material; Finite element; Homogenization; Sandwich panel

Indexed keywords

COMPUTATIONAL METHODS; HOMOGENIZATION METHOD; SANDWICH STRUCTURES; THREE DIMENSIONAL; TWO DIMENSIONAL;

LIGHTWEIGHT SANDWICH PANELS; PYRAMIDAL TRUSS CORE;

FINITE ELEMENT METHOD;

EID: 38149106643     PISSN: 05677718     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10409-007-0096-z     Document Type: Article

References (35)

1. Wicks N. and Hutchinson J.W. (2001). Optimal truss plates. Int. J. Solids Struct. 38(30-31): 5165-5183
2. Tian Y.S. and Lu T.J. (2005). Optimal design of compression corrugated panels. Thin Walled Struct. 43(3): 477-498
3. Wicks N. and Hutchinson J.W. (2004). Performance of sandwich plates with truss cores. Mech. Mater. 36(8): 739-751
4. Valdevit L., Hutchinson J.W. and Evans A.G. (2004). Structurally optimized sandwich panels with prismatic cores. Int. J. Solids Struct. 41(18-19): 5105-5124
5. Valdevit L. (2006). Structural performance of near-optimal sandwich panels with corrugated cores. Int. J. Solids Struct. 43(16): 4888-4905
6. Liu T., Deng Z.C. and Lu T.J. (2006). Design optimization of truss-cored sandwiches with homogenization. Int. J. Solids Struct. 43(25-26): 7891-7918
7. Liu T., Deng Z.C. and Lu T.J. (2007). Minimum weights of pressurized hollow sandwich cylinders with ultralight cellular cores. Int. J. Solids Struct. 44(10): 3231-3266
8. Kim T. (2004). Convective heat dissipation with lattice-frame materials. Mech. Mater. 36(8): 767-780
9. Tian J. (2004). The effects of topology upon fluid-flow and heat- transfer within cellular copper structures. Int. J. Heat Mass Transf. 47(14-16): 3171-3186
10. Lu T.J., Valdevit L. and Evans A.G. (2005). Active cooling by metallic sandwich structures with periodic cores. Prog. Mater. Sci. 50(7): 789-815
11. Liu, T., Deng, Z.C., Lu, T. J.: Bi-functional optimization of actively cooled,pressurized hollow sandwich cylinders with prismatic cores. J. Mech. Phys. Solids (in press, 2007)
12. Xue Z.Y. and Hutchinson J.W. (2006). Crush dynamics of square honeycomb sandwich cores. Int. J. Numer. Methods Eng. 65(13): 2221-2245
13. Xue Z.Y. and Hutchinson J.W. (2004). Constitutive model for quasi-static deformation of metallic sandwich cores. Int. J. Numer. Methods Eng. 61(13): 2205-2238
14. Lu T.J., Chen F. and He D.P. (2000). Sound absorption of cellular metals with semiopen cells. J. Acoust. Soc. Am. 108(4): 1697-1709
15. Ruzzene M. (2004). Vibration and sound radiation of sandwich beams with honeycomb truss core. J. Sound Vibration 277(4-5): 741-763
16. Hutchinson R.G. (2003). Kagome plate structures for actuation. Int. J. Solids Struct. 40(25): 6969-6980
17. Wicks N. and Hutchinson J.W. (2004). Sandwich plates actuated by a Kagome planar truss. J. Appl. Mech. Trans. ASME 71(5): 652-662
18. Noor A.K., Burton W.S. and Bert C.W. (1996). Computational models for sandwich panels and shells. Appl. Mech. Rev. 49(3): 155-199
19. Hohe J. and Becker W. (2002). Effective stress-strain relations for two-dimensional cellular sandwich cores: Homogenization, material models and properties. Appl. Mech. Rev. 55: 61-87
20. Ziegler E., Accorsi M. and Bennett M. (2004). Continuum plate model for lattice block. Mech. Mater. 36(8): 753-766
21. Rabczuk T. (2004). Homogenization of sandwich structures. Int. J. Numer. Methods Eng. 61(7): 1009-1027
22. Hohe J. and Librescu L. (2004). Advances in the structural modeling of elastic sandwich panels. Mech. Adv. Mater. Struct. 11(4-5): 395-424
23. Hill R. (1963). Elastic properties of reinforced solids: some theoretical principles. J. Mech. Phys. Solids 11: 357-372
24. Mohr D. (2005). Mechanism-based multi-surface plasticity model for ideal truss lattice materials. Int. J. Solids Struct. 42(11-12): 3235-3260
25. Suquet, P.: Elements of homogenization for inelastic solid mechanics. In: Sanchez-Palencia, E., Zaoui, A. eds. Homogenization Techniques for Composite Media. Lecture notes in physics. Springer, Heidelberg (1987)
26. Lai W.M., Rubin D. and Krempl E. (1993). Introduction to Continuum Mechanics. 3rd ed. Pergamon Press, Oxford
27. Libove, C., Hubka, R.E.: Elastic Constants for Corrugated-Core Sandwich Plates. NACA TN 2289. Washington DC (1951)
28. Nordstrand T., Carlsson L.A. and Allen H.G. (1994). Transverse-shear stiffness of structural core sandwich. Composite Struct. 27(3): 317-329
29. Lu T.J. and Zhu G. (2001). The elastic constants of corrugated board panels. J. Composite Mater. 35(20): 1868-1887
30. Cheng Q.H., Lee H.P. and Lu C. (2006). A numerical analysis approach for evaluating elastic constants of sandwich structures with various cores. Composite Struct. 74(2): 226-236
31. Wang A.J. and McDowell D.L. (2005). Yield surfaces of various periodic metal honeycombs at intermediate relative density. Int. J. Plasticity 21(2): 285-320
32. Altenbach H., Altenbach J. and Kissing W. (2004). Mechanics of Composite Structural Elements. Springer, Heidelberg
33. Ahmad S., Irons B.M. and Zienkiewicz O.C. (1970). Analysis of thick and thin shell structures by curved finite elements. Int. J. Numer. Methods Eng. 2(30): 419-451
34. Cook R.D. (1980). Concepts and Applications of Finite Element Analysis, 2nd edn. Wiley, New York
35. Doyoyo M. and Hu J.W. (2006). Multi-axial failure of metallic strut-lattice materials composed of short and slender struts. Int. J. Solids Struct. 43(20): 6115-6139