Kirigami auxetic pyramidal core: Mechanical properties and wave propagation analysis in damped lattice

Journal of Vibration and Acoustics

Volumn 135, Issue 4, 2013, Pages

  Scarpa, Fabrizio ^a   Ouisse, Morvan ^b   Collet, Manuel ^b   Saito, Kazuya ^c  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

^b FEMTO ST INSTITUTE   (France)

^c INSTITUTE OF INDUSTRIAL SCIENCE   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

METAL CUTTING;

2D WAVE PROPAGATION; AUXETICS; CUTTING PATTERNS; MANUFACTURING TECHNIQUES; METAL CORE; NEGATIVE POISSON RATIO; PROPAGATION ANALYSIS; THERMOPLASTIC COMPOSITE; THERMOSET COMPOSITES; WAVE PROPAGATION CHARACTERISTICS;

WAVE PROPAGATION;

EID: 84881185728     PISSN: 10489002     EISSN: 15288927     Source Type: Journal    
DOI: 10.1115/1.4024433     Document Type: Article

References (41)

1. Queheillalt, D. T., and Wadley, H. N., 2005, "Pyramidal Lattice Truss Structures With Hollow Trusses," Mater. Sci. Eng., A, 397, pp. 132-137.
2. Queheillalt, D. T., and Wadley, H. N., 2009, "Titanium Alloy Lattice Truss Structures," Mater. Des., 30, pp. 1966-1975.
3. Pingle, S. M., Fleck, N. A., Deshpande, V. S., and Wadley, H. N. G., 2011, "Collapse Mechanism Maps for a Hollow Pyramidal Lattice," Proc. R. Soc. London, Ser. A, 467(2128), pp. 985-1011.
4. Wadley, H. N., 2006, "Multifunctional Periodic Cellular Metals," Philos. Trans. R. Soc. London, Ser. A, 364(1838), pp. 31-68.
5. Alderson, A., and Alderson, K. L., 2007, "Auxetic Materials," Proc. Inst. Mech. Eng., Part G, 221, pp. 565-575.
6. Gonella, S., and Ruzzene, M., 2008, "Analysis of In-Plane Wave Propagation in Hexagonal and Re-Entrant Lattices," J. Sound Vib., 312, pp. 125-139.
7. Spadoni, A., and Ruzzene, M., 2007, "Numerical and Experimental Analysis of the Static Compliance of Chiral Truss Core Airfoils," J. Mech. Mater. Struct., 2, pp. 965-981.
8. Tee, K. F., Spadoni, A., Scarpa, F., and Ruzzene, M., 2010, "Wave Propagation in Auxetic Tetrachiral Honeycombs," ASME J. Vibr. Acoust., 132, p. 031007.
9. Bettini, P., Airoldi, A., Sala, G., Landro, L. D., Ruzzene, M., and Spadoni, A., 2010, "Composite Chiral Structures for Morphing Airfoils: Numerical Analyses and Development of a Manufacturing Process," Composites, Part B, 41, pp. 133-147.
10. Martin, J., Heyder-Bruckner, J. J., Remillat, C. D. L., Scarpa, F., Potter, K., and Ruzzene, M., 2008, "The Hexachiral Prismatic Wingbox Concept," Phys. Status Solidi B, 245, pp. 570-577.
11. Grima, J. N., Williams, J. J., Gatt, R., and Evans, K. E., 2005, "Modelling of Auxetic Networked Polymers Built From Calix[4]Arene Building Blocks," Mol. Simul., 31(13), pp. 907-913.
12. Coluci, V. R., Hall, L. J., Kozlov, M. E., Zhang, M., Dantas, S. O., Galväo, D. S., and Baughman, R. H., 2008, "Modeling the Auxetic Transition for Carbon Nanotube Sheets," Phys. Rev. B, 78, p. 115408.
13. Hall, L. J., Coluci, V. R., Galväo, D. S., Kozlov, M. E., Zhang, M., Dantas, S. O., and Baughman, R. H., 2008, "Sign Change of Poisson's Ratio for Carbon Nanotube Sheets," Science, 320(5875), pp. 504-507.
14. Nojima, T., and Saito, K., 2006, "Development of Newly Designed Ultra-Light Core Structures," JSME Int. J., Ser. A, 49, pp. 38-42.
15. Saito, K., Scarpa, F., and Neville, R., 2011, "Origami Composite Auxetic Honeycomb," 16th International Conference on Composite Structures (ICCS16), Porto, Portugul, June 28-30, Paper No. 117.
16. Saito, K., Agnese, F., and Scarpa, F., 2011, "A Cellular Kirigami Morphing Wingbox Concept," J. Intell. Mater. Syst. Struct., 22(9), pp. 935-944.
17. Norris, A. N., Shuvalov, A. L., and Kutsenko, A. A., "Analytical Formulation of Three-Dimensional Dynamic Homogenization for Periodic Elastic Systems," Proc. R. Soc. London, Ser. A, 468, pp. 1629-1651.
18. Srivastava, A., and Nemat-Nasser, S., 2012, "Overall Dynamic Properties of Three-Dimensional Periodic Elastic Composites," Proc. R. Soc. London, Ser. A, 268, pp. 269-287.
19. Willis, J. R., 2012, "Effective Constitutive Relations for Waves in Composites and Metamaterials," Proc. R. Soc. London, Ser. A, 467, pp. 1865-1879.
20. Wolfe, J. P., 1998, Imaging Phonons, Cambridge University, Cambridge, UK.
21. Hussein, M. I., 2009, "Theory of Damped Bloch Waves in Elastic Media," Phys. Rev. B, 80, p. 212301.
22. Hussein, M. I., and Frazier, M. J., 2010, "Band Structure of Phononic Crystals With General Damping," J. Appl. Phys., 108(9), p. 093506.
23. Moiseyenko, R. P., and Laude, V., 2011, "Material Loss Influence on the Complex Band Structure and Group Velocity in Phononic Crystals," Phys. Rev. B, 83, p. 064301.
24. Farzbod, F., and Leamy, M. J., 2011, "Analysis of Bloch's Method in Structures With Energy Dissipation," ASME J. Vibr. Acoust., 133, p. 051010.
25. Bornert, M., Bretheau, T., and Gilormini, P., 2001, Homoge'ne'isation en Me'canique des Mate'riaux 1, Hermes Science Europe, Stanmore, UK.
26. Odegard, G., 2004, "Constitutive Modeling of Piezoelectric Polymer Composites," Acta Mater., 52(18), pp. 5315-5330.
27. Nayfeh, A. H., 1995, Wave Propagation in Layered Anisotropic Media With Applications to Composites, North Holland-Elsevier Science, Amsterdam.
28. Wang, L., and Ryne, K. G., 2007, "Existence of Extraordinary Zero-Curvature Slowness Curve in Anisotropic Elastic Media," J. Acoust. Soc. Am., 122(4), pp. 1873-1875.
29. Allaire, G., and Congas, C., 1998, "Bloch Waves Homogenization and Spectral Asymptotic Analysis," J. Math. Pures Appl., 77, pp. 153-208.
30. Ichchou, M. N., Akrout, S., and Mencik, J., 2007, "Guided Waves Group and Energy Velocities Via Finite Elements," J. Sound Vib., 305(4-5), pp. 931-944.
31. Mencik, J., and Ichchou, M., 2005, "Multi-Mode Propagation and Diffusion in Structures Through Finite Elements," Eur. J. Mech. A/Solids, 24(5), pp. 877-898.
32. Houillon, L., Ichchou, M., and Jezequel, L., 2005, "Wave Motion in Thin-Walled Structures," J. Sound Vib., 281(3-5), pp. 483-507.
33. Collet, M., Ouisse, M., Ruzzene, M., and Ichchou, M., 2011, "A Floquet-Bloch Decomposition of the Elastodynamical Equations: Application to Bidimensional Wave's Dispersion Computation of Damped Mechanical System," Int. J. Solids Struct., 48, pp. 2837-2848.
34. Collet, M., Cunefare, K., and Ichchou, N., 2009, "Wave Motion Optimization in Periodically Distributed Shunted Piezocomposite Beam Structures," J. Intell. Mater. Syst. Struct., 20(7), pp. 787-808.
35. Gavrić, L., 1995, "Computation of Propagative Waves in Free Rail Using a Finite Element Technique," J. Sound Vib., 185, pp. 531-543.
36. Maysenholder, W., 1994, Korperschall-energie Grundlagen zur Berechnung von Energiedichten und Intensitäten, Wissenschaftliche Verlagsgesellschaft, Stuttgart, Germany.
37. Berthelot, J.-M., Assarar, M., Sefrani, Y., and Mahi, A. E., 2008, "Damping Analysis of Composite Materials and Structures," Compos. Struct., 85(3), pp. 189-204.
38. Lehoucq, R., Sorensen, D., and Yang, C., 1998, ARPACK Users' Guide: Solution of Large-Scale Eigenvalue Problems With Implicitly Restarted Arnoldi Methods, SIAM, Philadelphia, PA.
39. Schenk, O., and Gärtner, K., 2004, "Solving Unsymmetric Sparse Systems of Linear Equations With PARDISO," FGCS, Future Gener. Comput. Syst., 20(3), pp. 475-487.
40. Scarpa, F., Panayiotou, P., and Tomlinson, G., 2000, "Numerical and Experimental Uniaxial Loading on In-Plane Auxetic Honeycombs," J. Strain Anal. Eng. Des., 35(5), pp. 383-388.
41. Gibson, L. J., and Ashby, M. F., 1982, "The Mechanics of Three-Dimensional Cellular Materials," Proc. R. Soc. London, Ser. A, 382(1782), pp. 43-59.