Apparent Modulus of Honeycomb Structure: A Guideline for Porous Structure Implant Design
Objectives: To investigated the apparent modulus of honeycomb to be used as a guideline for facilitating porous structure implant design.
Methods: Apparent modulus of each honeycomb model was developed based on finite element analysis. Geometry of honeycomb structures included circumcircle radius of 2 mm, 3 mm, and 4 mm with wall high of 0.5 mm, 1.0 mm, 1.5 mm, and 2.0 mm.
Results: Hexagonal shape of honeycomb structure with circumcircle radius 2 mm was compared with circle with 2 mm diameter, both with wall thickness of 1 mm. The relationship is beset described by logarithm equation with coefficient of correlation above 0.99. It was found that reduction of modulus for circular shape is 60 percents. The value is greater than hexagonal pattern which is 50 percents of reduction.
Conclusions: The relationship between height of honeycomb and reduction of apparent modulus of each specific circumcircle radius of honeycomb is beset described in logarithm equation and as a guideline for facilitating porous structure implant design.
- Geng JP, Tan KB, Liu GR. Application of finite element analysis in implant dentistry: a review of the literature. J Prosthet Dent. 2001;85(6):585-98.
- Jemt T, Lekholm U. Oral implant treatment in posterior partially edentulous jaws: A 5-year follow-up report. Int J Oral Maxillofac Implants. 1993;8:635-40.
- Benn DK. Estimating the validity of radiographic measurements of marginal bone height changes around osseointegrated implants. Implant Dent. 1992;1:79-83.
- Inglam S, Suebnukarn S, Tharanon W, Apatananon T, Sitthiseripratip K. Influence of graft quality and marginal bone loss on implants placed in maxillary grafted sinus: A finite element study. Med Biol Eng Comput. 2010;48(7):681-9.
- Halldin A, Jimbo R, Johansson CB, Wennerberg A, Jacobsson M, Albrektsson T, Hansson S. The effect of static bone strain on implant stability and bone remodeling. Bone. 2011;49(4):783–9.
- Harold F. Morris, Shigeru O, Patricia C, Ira H. Orenstein, Sheldon W. AICRG, Part I: A 6-year multicentered, multidisciplinary clinical study of a new and innovative implant design. J Oral Implantol. 2004;30(3):125-33.
- Mohsenin NN. Physical properties of plant and animal materials: structure, physical characteristics and mechanical properties. 2nd edition. New York: Gordon Breach Science Publisher; 1986.
- Inglam S, Chantarapanich N, Suebnukarn S, Vatanapatimakul N, Sucharitpwatskul S, Sitthiseripratip K. Biomechanical evaluation of a novel porous-structure implant: finite element study. Int J Oral Maxillofac Implants. 2013;28(2):e48- 56.
- Long C, Yangdong H, Jiasen G, Deqiao X, Youwen Y, Lida S, et al. Design of porous structure based on the Voronoi diagram and stress line for better stress shielding relief and permeability. J Mater Res Technol. 2023;25:1719-34.
- Schiefer H, Bram M, Buchkremer HP, Stover D. Mechanical examinations on dental implants with porous titanium coating. J Mater Sci Mater Med. 2009;20(8):1763-70.
- Ryan GE, Pandit AS, Apatsides DP. Porous titanium scaffolds fabricated using a rapid prototyping and powder metallurgy technique. Biomaterials. 2008;29(27):3625-35.
- Warnke PH. Douglas T, Wollny P, Sherry E, Steiner M, Galonska S, et al. Rapid prototyping: porous titanium alloy scaffolds produced by selective laser melting for bone tissue engineering. Tissue Eng Part C Methods. 2009; 15(2):115-24.
- Jo YJ, Lee CM, Jang HS, Lee NS, Suk JH, Lee WH. Mechanical properties of fully porous and porous-surface Ti-6Al-4V implants fabricated by electro-discharge-sintering. J Mater Process Tech. 2007; 193:121-5.
- Paik JK, Thayamballi AK, Kim GS. The strength characteristics of aluminum honeycomb sandwich panels. Thin Wall Struct.1999;35:205-31.
- Jaafar M, Atlati S, Makich H, Nouari M, Moufki A, Julliere B. A 3D FE modeling of machining process of Nomex® honeycomb core: influence of the cell structure behaviour and specific tool geometry. Proc CIRP. 2017; 58:505-10.
- Heng L, Wang B, Li M, Zhang Y, Jiang L. Advances in fabrication materials of honeycomb structure films by the breath-figure method. Materials (Basel). 2013;6(2):460-82.
- Chantarapanich N, Puttawibul P, Sucharitpwatskul S, Jeamwatthanachai P, Inglam S, Sitthiseripratip K. Scaffold library for tissue engineering :a geometric evaluation. Comput Math Methods Med. 2012:2012:407805. doi: 10.1155/2012/407805.
- Abu-Hammad O, Khraisat A, Dar-Odeh N, El-Maaytah M. Effect of dental implant cross-sectional design on cortical bone struture using finite element analysis. Clin Implant Dent Relat Res. 2007; 9(4):217-21.
- Valera-Jim´ enez JF, Burgue˜ no-Barris G, G´omez-Gonz´alez S, L´ opez-L´opez J, Valmaseda-Castell´on E, Fern´ andez-Aguado E. Finite element analysis of narrow dental implants. Dent Mater 2020; 36(7):927–35.
- Amanda-RP, Jesús EG, Jennifer RG, Pedro GM, Paula N, Julio E, et al. Biomechanical behavior of a new design of dental implant: Influence of the porosity and location in the maxilla. J Mater Res Technol. 2024;29:3255–67.