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

References

[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.