Indentation Response of the Auxetic Bone-inspired Cellular Structure Materials
Main Article Content
Abstract
in this work we investigate the indentation response of the auxetic cellular structure materials. The auxetic cellular structure material is selected as the newly bone-inspired cellular structure material. The elastic material properties of this material are characterized by nine elastic constants. Thus, to study the indentation responses of the auxetic bone-inspired cellular structure materials, the solutions for the indentation of a rigid indenter on an anisotropic elastic half-plane are employed. It was found that auxetic (with a negative Poisson ratio) bone-inspired cellular structure materials can effectively reduce the local contact pressure under the indenter compared to those with positive and zero Poisson ratios. The auxetic BCS material, therefore, has great potential in protecting key engineering structures.
Keywords:
auxetic, indentation, bone-inspired, cellular structure material.
References
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Vol. 127, 2022, pp. 107715, https://doi.org/10.1016/j.ast.2022.107715.
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[4] A. Ghazlan, T. Ngo, T.S. Le, T. V. Le, Automated Simulation Techniques for Uncovering High-performance Bioinspired Cellular Structures under Blast Loads, Journal of Sandwich Structures & Materials, Vol. 24, Iss. 1, 2022, pp. 517-535, https://doi.org/10.1177/10996362211020458.
[5] F. Ghorbani, H. Gharehbaghi, A. Farrokhabadi, A. Bolouri, Investigation of the Equivalent Mechanical Properties of the Bone-inspired Composite Cellular Structure: Analytical, Numerical and Experimental Approaches, Composite Structures, Vol. 309, 2023, pp. 116720, https://doi.org/10.1016/j.compstruct.2023.116720.
[6] F. Ghorbani, H. Gharehbaghi, A. Farrokhabadi, A. Bolouri, Evaluation of the Mechanical Properties and Energy Absorption in a Novel Hybrid Cellular Structure, Aerospace Science and Technology, Vol. 148, 2024, pp. 109105, https://doi.org/10.1016/j.ast.2024.109105.
[7] A. Ghazlan, T. Ngo, T. Nguyen, S. Linforth, T. V. Le, Uncovering a High-performance Bio-mimetic Cellular Structure from Trabecular Bone, Scientific Reports, Vol. 10, 2020, pp. 14247, https://doi.org/10.1038/s41598-020-70536-7.
[8] A. Ghazlan, T. Nguyen, T. Ngo, S. Linforth, T. V. Le, Performance of a 3D Printed Cellular Structure Inspired by Bone. Thin-Walled Structures, Vol. 151, 2020, pp. 106713, https://doi.org/10.1016/j.tws.2020.106713.
[9] V. T. Nguyen, N. D. Khoa, T. Ngo, N. D. Duc, Analytical Investigation of In-plane and Out-of-plane Elastic Properties of Bone-inspired Cellular Structures, Aerospace Science and Technology, Vol. 147, 2024, pp. 109012, https://doi.org/10.1016/j.ast.2024.109012.
[10] D. Photiou, N. Prastiti, E. Sarris, G. Constantinides, On the Conical Indentation Response of Elastic Auxetic Materials: Effects of Poisson’s Ratio, Contact Friction and Cone Angle, International Journal of Solids and Structures, Vol. 81, 2016, pp. 33-42, https://doi.org/10.1016/j.ijsolstr.2015.10.020.
[11] I. I. Argatov, R. G. Díaz, F. J. Sabina, On Local Indentation and Impact Compliance of Isotropic Auxetic Materials from the Continuum Mechanics Viewpoint, International Journal of Engineering Science, Vol. 54, 2012,
pp. 42-57, https://doi.org/10.1016/j.ijengsci.2012.01.010.
[12] V. T. Nguyen, G. T. Chen, C. Hwu, Multibody Contact of Two-dimensional Anisotropic Elastic/Piezoelectric/Magneto-Electro-Elastic Solids, Engineering Analysis with Boundary Elements, Vol. 146, 2023, pp. 767-785, https://doi.org/10.1016/j.enganabound.2022.11.019.
[13] V. T. Nguyen, C. Hwu, Boundary Element Method for Contact between Multiple Rigid Punches and Anisotropic Viscoelastic Foundation, Engineering Analysis with Boundary Elements, Vol. 118, 2020, pp. 295-305, https://doi.org/10.1016/j.enganabound.2020.07.001.
[14] V. T. Nguyen, C. Hwu, A Unified Fullfield Solution for Indentation of an Anisotropic Piezoelectric Half-plane by Multiple Rigid Punches, Mechanics of Advanced Materials and Structures, Vol. 30, Iss. 19, 2023, pp. 3897-3911, https://doi.org/10.1080/15376494.2022.2084802.
[15] C. Hwu, Anisotropic Elastic Plates, New York, Springer, 2010.
[16] N. I. Muskhelishvili, Some Basic Problems of the Mathematical Theory of Elasticity, Springer, Dordrecht, 1977.
[17] K. L. Johnson, Contact Mechanics, Cambridge University Press, 2012.
[18] V. T. Nguyen, C. Hwu, Indentation by Multiple Rigid Punches on Two-dimensional Anisotropic Elastic or Viscoelastic Solids, International Journal of Mechanical Sciences, Vol. 178, 2020, pp. 105595, https://doi.org/10.1016/j.ijmecsci.2020.105595.
[19] V. T. Nguyen, Q. T. Bui, A Semi-Analytical Approach for Two-dimensional Frictional Contact of Anisotropic Magneto-Electro-Elastic Solids, International Journal of Solids and Structures, Vol. 286-287, 2024, pp. 112565, https://doi.org/10.1016/j.ijsolstr.2023.112565.