Numerical Analysis on Static Mechanical Properties of the Periodic Multilayer Lattice Material

DOI: 10.4236/eng.2011.312143   PDF   HTML     5,730 Downloads   9,470 Views   Citations


Lattice material is a typical periodic structural material, and the gaps of the lattice material are often used to carry filling materials. In order to satisfy the load-carrying requirements of a certain multifunction/structure integrated composite material, four different 3D periodic multilayer lattice materials were proposed in this paper, such as the square, the quadrate, the tetrahedron and the hexagon. The BEAM189 element in ANSYS was adopted to predict their static mechanical properties, and the Mises strength criterion was taken as the failure criterion. Based on the solution of FEM, the axial stress and displacement of the top surface were obtained. The results indicated that adopting the relative stiffness and the load-mass ratio as the overall assessment is effective to evaluate the overall bearing capacity of the multilayer lattice materials. Given the same cross-section size of the cellular configuration, the hexagon multilayer lattice material shows the relatively optimal overall bearing capacity in the four configurations, while the tetrahedron configuration performs the worst.

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R. Guo, R. Liu, W. Jiang, K. Chen, J. Zhang, F. Huang and X. Sun, "Numerical Analysis on Static Mechanical Properties of the Periodic Multilayer Lattice Material," Engineering, Vol. 3 No. 12, 2011, pp. 1149-1154. doi: 10.4236/eng.2011.312143.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] A. G. Evans, “Lightweight Materials and Structures,” MRS Bulletin, Vol. 10, 2001, pp. 790-797.
[2] A. G. Evans, J. W. Hutchinson, N. A. Fleck, et al., “The Topological Design of Multifunctional Cellular Materials,” Progress in Materials Science, Vol. 46, 2001, pp. 309-327. doi:10.1016/S0079-6425(00)00016-5
[3] T. J. Lu, L. Valdevit and A. G. Evans, “Active Cooling by Metallic Sandwich Structures with Periodic Cores,” Progress in Materials Science, Vol. 50, No. 7, 2005, pp. 789-815. doi:10.1016/j.pmatsci.2005.03.001
[4] H. N. G. Wadley, “Multifunctional Periodic Cellular Metals,” Philosophical Transactions of the Royal Society A, Vol. 364, No. 1838, 2006, pp. 31-68.
[5] J. Y. Christian, D. R. Darren, A. Mark and N. G. W. Haydn, “Experiment Assessment of the Ballistic Response of Composite Pyramidal Lattice Truss Structures,” Composites: Part B, Vol. 39, 2008, pp. 556-569. doi:10.1016/j.compositesb.2007.02.029
[6] Z. Y. Xue and J. W. Hutchinson, “Preliminary Assessment of Sandwich Plates Subject to Blast Loads,” International Journal of Mechanical Sciences, Vol. 45, 2003, pp. 687-705. doi:10.1016/S0020-7403(03)00108-5
[7] H.-L. Fan, W. Yang, D.-N. Fang and Z. Zhuang, “Interlacing Technique for New Carbon Fiber Lattice Materials,” Journal of Aeronauticalmaterials, Vol. 27, No. 1, 2007, pp. 46-50.
[8] Y.-Z. Yang, J.-L. Yang, T. Zheng, D.-N. Fang, “Progress in Research Work of Light Materials,” Chinese Quarterly of Mechanics, Vol. 28, No. 4, 2007, pp. 503-516.
[9] Q. Wang and G. Xu, “Theoretical Basis of Beam Ele- ments in ANSYS and Application,” Journal of China Three Gorges University (Natural Sciences), Vol. 27, No. 4, 2005, pp. 336-340.
[10] Q. C. Zhang, T. J. Lu and T. Wen, “Process in the Study on Enhanced Mechanical Properties of High-Performance Lightweight Lattice Metallic Materials,” Advances in Mechanics, Vol. 40, No. 2, 2010, pp. 157-169.
[11] D.-N. Fang, Y.-H. Zhang and X.-D. Cui, “Mechanical Properties and Multifunctional Design of the Lightweight Lattice Materials,” The Publishing House of Science, Beijing, 2009.
[12] A. K. Noor, W. S. Burton and C. W. Bert, “Computational Models for Sandwich Panels and Shells,” Applied Mechanics Reviews, Vol. 4, No. 3, 1996, pp. 155-199. doi:10.1115/1.3101923
[13] I. J. V. Straalen, “Comprehensive Overview of Theories for Sandwich Panels,” Workshop on Modeling of Sandwich Structures and Adhesive Bonded Joints, Porto, 2000.
[14] A. J. Wang, R. S. Kumar and D. L. McDowell, “Mechanical Behavior of Extruded Prismatic Cellular Metals,” Mechanics of Advanced Materials and Structures, Vol. 12, No. 3, 2005, pp. 185-200. doi:10.1080/15376490590928534
[15] A. J. Wang and D. L. McDowell, “Yield Surfaces of Various Periodic Metal Honeycombs at Intermediate Relative Density,” International Journal of Plasticity, Vol. 21, No. 2, 2005, pp. 285-320. doi:10.1016/j.ijplas.2003.12.002
[16] V. S. Deshpande and N. A. Fleck, “Isotropic Constitutive Models for Metallic Foams,” Journal of the Mechanics and Physics of Solids, Vol. 48, No. 6-7, 2000, pp. 1253- 1283. doi:10.1016/S0022-5096(99)00082-4
[17] J. S. Liu and T. J. Lu, “Multi-Objective and Multi-Load- ing Optimization of Ultralightweight Truss Materials,” International Journal of Solids and Structures, Vol. 41, 2004, pp. 618-635. doi:10.1016/j.ijsolstr.2003.10.003
[18] J. S. Liu, Z. C. Deng and T. J. Lu, “Analytical Modeling and Finite Element Simulation of the Plastic Collapse of Sandwich Beams with Pin-Reinforced foam Cores,” International Journal of Solids and Structures, Vol. 45, 2008, pp. 5127-5151.
[19] D. Mohr, “Mechanism Based Multi-Surface Plasticity Model for Ideal Truss Lattice Materials,” International Journal of Solids and Structures, Vol. 42, No. 11-12, 2005, pp. 3235-3260. doi:10.1016/j.ijsolstr.2004.10.032
[20] T. Rabczuk, J. Y. Kim, E. Samaniego and T. Belytschko, “Homogenization of Sandwich Structures,” International Journal for Numerical Methods in Engineering, Vol. 61, No. 7, 2004, pp. 1009-1027. doi:10.1002/nme.1100
[21] Z. Xue and J. W. Hutchinson, “Constitutive Model for Quasistatic Deformation of Metallic Sandwich Cores,” International Journal for Numerical Methods in Engineering, Vol. 61, No. 13, 2004, pp. 2205-2238. doi:10.1002/nme.1142
[22] Z. Xue, A. Vaziri and J. W. Hutchinson, “Non-Uniform Hardening Constitutive Model for Compressible Ortho- tropic Materials with Application to Sandwich Plate Cores,” Computer Modeling in Engineering and Sciences, Vol. 10, No. 1, 2005, pp. 79-95.
[23] Z.-D. Zhou, “FEM and Multi-Objective Optimization of Light Sandwich Structures,” Dalian University of Technology, Daliang, 2008.
[24] C.-T. Zhang, “Manufacturing and Properties of Two- Dimension Lattice Composite Structures,” Graduate School of National University of Defense Technology, Changsha, 2008.

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