Mechanical properties of functionally graded 2-D cellular structures: A finite element simulation |
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| Authors: | A. Ajdari P. Canavan H. Nayeb-Hashemi G. Warner |
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| Affiliation: | 1. Department of Mechanical and Industrial Engineering, Northeastern University, 360 Huntington Avenue, Boston, MA 02115, United States;2. Department of Physical Therapy, Northeastern University, Boston, MA 02115, United States;3. Department of Mechanical Engineering, Howard University, Washington, DC 20059, United States;1. Institute of Applied Mechanics and Biomedical Engineering, College of Mechanics, Taiyuan University of Technology, Taiyuan, Shanxi 030024, China;2. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Changsha, Hunan 410082, China;3. Shanxi Key Laboratory of Material Strength and Structural Impact, Taiyuan University of Technology, Taiyuan, Shanxi 030024, China;4. Faculty of Science, Engineering and Technology, Swinburne University of Technology, Hawthorn, VIC 3122, Australia;1. Department of Engineering Mechanics, Harbin University of Science and Technology, Harbin 150080, PR China;2. Department of Mechanics and Aerospace Technology, Peking University, 100871 Beijing, PR China;1. School of Mechanical and Aerospace Engineering, Nanyang Technological University, Singapore 639798, Singapore;2. Department of Mechanical Engineering, Hong Kong University of Science and Technology, Hong Kong;1. Institute of Applied Mechanics and Biomedical Engineering, Taiyuan University of Technology, Taiyuan, Shanxi 030024, China;2. Shanxi Key Laboratory of Material Strength and Structural Impact, Taiyuan University of Technology, Taiyuan, Shanxi 030024, China;3. College of Mechanics, Taiyuan University of Technology, Taiyuan, Shanxi 030024, China;4. Faculty of Science, Engineering and Technology, Swinburne University of Technology, Hawthorn, VIC 3122, Australia |
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| Abstract: | Functionally graded cellular structures such as bio-inspired functionally graded materials for manufacturing implants or bone replacement, are a class of materials with low densities and novel physical, mechanical, thermal, electrical and acoustic properties. A gradual increase in cell size distribution, can impart many improved properties which may not be achieved by having a uniform cellular structure.The material properties of functionally graded cellular structures as a function of density gradient have not been previously addressed within the literature. In this study, the finite element method is used to investigate the compressive uniaxial and biaxial behavior of functionally graded Voronoi structures. Furthermore, the effect of missing cell walls on its overall mechanical (elastic, plastic, and creep) properties is investigated.The finite element analysis showed that the overall effective elastic modulus and yield strength of structures increased by increasing the density gradient. However, the overall elastic modulus of functionally graded structures was more sensitive to density gradient than the overall yield strength. The study also showed that the functionally graded structures with different density gradient had similar sensitivity to random missing cell walls. Creep analysis suggested that the structures with higher density gradient had lower steady-state creep rate compared to that of structures with lower density gradient. |
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