Design optimization of truss-cored sandwiches with homogenization

International Journal of Solids and Structures

Volumn 43, Issue 25-26, 2006, Pages 7891-7918

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

^a NORTHWESTERN POLYTECHNICAL UNIVERSITY   (China)

^b DALIAN UNIVERSITY OF TECHNOLOGY   (China)

^c XI'AN JIAOTONG UNIVERSITY   (China)

^d UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Buckling; Design optimization; Finite element method; Homogenization; Plastic yielding; Sandwich plate; Truss lattice materials

Indexed keywords

BUCKLING; COMPUTER SIMULATION; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; MECHANICAL PROPERTIES; OPTIMIZATION; PLATES (STRUCTURAL COMPONENTS); SANDWICH STRUCTURES;

HOMOGENIZATION; PLASTIC YIELDING; SANDWICH PLATES; TRUSS LATTICE MATERIALS;

TRUSSES;

EID: 33750303062     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2006.04.010     Document Type: Article

References (35)

1. Ahmad S., Irons B.M., and Zienkiewicz O.C. Analysis of thick and thin shell structures by curved finite elements. Int. J. Numer. Meth. Eng. 2 (1970) 419-451
2. Allen H.G. Analysis and Design of Structural Sandwich Panels (1969), Pergamon, Oxford
3. Altenbach H. An alternative determination of transverse shear stiffnesses for sandwich and laminated plates. Int. J. Solids Struct. 37 (2000) 3503-3520
4. ANSYS, Inc., 2003. ANSYS User's Manual.
5. Budiansky B. On the minimum weights of compression panels. Int. J. Solids Struct. 36 (1999) 3677-3708
6. Cook R.D. Concepts and Applications of Finite Element Analysis. second ed. (1981), John Wiley and Sons, New York
7. Deshpande V.S., and Fleck N.A. Collapse of truss-core sandwich beams in 3-point bending. Int. J. Solids Strut. 38 (2001) 6275-6305
8. Deshpande V.S., Fleck N.A., and Ashby M.F. Effective properties of octet-truss lattice material. J. Mech. Phys. Solids 49 (2001) 1747-1796
9. Evan A.G., Hutchinson J.W., Fleck N.A., Ashby M.F., and Wadley H.N.G. The topological design of multifunctional cellular metals. Prog. Mater. Sci. 46 (2001) 309-327
10. Frostig Y. Classical and high-order computational models in the analysis of modern sandwich panels. Composites Part B 34 (2003) 83-100
11. Gustafsson R.N.G. Ultralight stainless steel sandwich materials - HSSA. In: Meyer-Piening H.R., and Zenkert D. (Eds). Sandwich Construction vol. 5 (2000), EMAS 169-176
12. Hill R. Elastic properties of reinforced solids: some theoretical principles. J. Mech. Phys. Solids 11 (1963) 357-372
13. Hohe J., and Becker W. Effective stress-strain relations for two-dimensional cellular sandwich cores: Homogenization, material models, and properties. Appl. Mech. Rev. 55 (2002) 61-87
14. Hohe J., and Librescu L. Advances in the structural modeling of elastic sandwich panels. Mech. Adv. Mat. Struct. 11 (2004) 395-424
15. Hutchinson J.W., and Xue Z. Metal sandwich plates optimized for pressure impulses. Int. J. Mech. Sci. 47 (2005) 545-569
16. Hyun S., Karlson A.M., Torquato S., and Evans A.G. Simulated properties of Kagomé truss core panels. Int. J. Solids Strut. 40 (2003) 6989-6998
17. Kim T., Zhao C.Y., Lu T.J., and Hudson H.P. Convective heat dissipation with lattice-frame materials. Mech. Mater. 36 (2004) 1011-1020
18. Kollar L.P., and Springer G.S. Mechanics of Composite Structures (2003), Cambridge University Press, Cambridge, UK
19. Kooistra G.W., Deshpande V.S., and Wadley H.N.G. Compressive behavior of age hardenable tetrahedral lattice truss structures made from aluminum. Acta Mater. 52 (2004) 4229-4237
20. Lai W.M., Rubin D., and Krempl E. Introduction to Continuum Mechanics. third ed. (1993), Pergamon/Elsevier Science Publisher
21. Liu J.S., and Lu T.J. Multi-objective and multi-loading optimization of ultralightweight truss materials. Int. J. Solids Strut. 41 (2004) 618-635
22. Liu, T., Deng, Z.C., Lu, T.J., in preparation. On optimally designed sandwich-walled cylinders with ultralight cellular materials.
23. Manet V. The use of ANSYS to calculate the behavior of sandwich structures. Compos. Sci. Technol. 58 (1998) 1899-1905
24. Mohr D. Mechanism-based multi-surface plasticity model for ideal truss lattice materials. Int. J. Solids Strut. 42 (2005) 3235-3260
25. Noor A.K., Burton W.S., and Bert C.W. Computational models for sandwich panels and shells. Appl. Mech. Rev. 4 3 (1996) 155-199
26. Straalen, I.J.V., 2000. Comprerhensive overview of theories for sandwich panels. In: Workshop on Modeling of Sandwich Structures and Adhesive Bonded Joints, Porto. Available from: .
27. Suquet P. Elements of homogenization for inelastic solid mechanics. In: Sanchez-Palencia E., and Zaoui A. (Eds). Homogenization Techniques for Composite Media. Lecture Notes in Physics (1987), Springer-Verlag, Berlin
28. Tian Y.S., and Lu T.J. Optimal design of compression corrugated panels. Thin Wall Strut. 43 (2005) 477-498
29. Tian J., Kim T., Lu T.J., Hudoson H.P., Sypeck D.J., and Wadley H.N.G. The effect of topology upon fluid-flow and heat-transfer within cellular copper structures. Int. J. Heat Mass Transfer 47 (2004) 3171-3186
30. Vinson J.R. Plate and Panel Structures of Isotropic, Composite and Piezoelectric Materials, including Sandwich Construction (2005), Springer, Dordrecht, Netherlands
31. Wadley H.N.G., Fleck N.A., and Evans A.G. Fabrication and structural performance of periodic cellular metal sandwich structures. Comput. Sci. Technol. 63 (2003) 2331-2343
32. Wallach J.C., and Gibson L.G. Mechanical behavior of a three-dimensional truss material. Int. J. Solids Strut. 38 (2001) 5165-5183
33. Wicks N., and Hutchinson J.W. Optimal truss plates. Int. J. Solids Strut. 38 (2001) 5165-5183
34. Wicks N., and Hutchinson J.W. Performance of sandwich plates with truss cores. Mech. Mater. 36 (2003) 739-751
35. Ziegler E., Accorsi M., and Bennett M. Continuum plate model for lattice block material. Mech. Mater. 36 (2004) 753-766