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GLOBAL JOURNAL OF ENGINEERING SCIENCE AND RESEARCHES MODELING AND FINITE ELEMENT ANALYSIS OF KNEE JOINT PROSTHESIS U.D.S.Prathap varma *1,S.Rajesh 2, B.Suresh Kumar 3 & P.Rama Murthy Raju 4 *1 M.TechScholar, Department of Mechanical Engineering, S.R.K.R. Engineering College, Bhimavaram- 534204, Andhrapradesh, India 2 Associate professor, Department of Mechanical Engineering, S.R.K.R. Engineering College, Bhimavaram-534204, Andhrapradesh, India 3 Assistant Professor, Department of Mechanical Engineering, D.N.R College of Engg. & Tech., Bhimavaram-534202, Andhrapradesh, India 4 Professor, Department of Mechanical Engineering, S.R.K.R. Engineering College, Bhimavaram-534204, Andhrapradesh, India ABSTRACT Knee prosthesis has done a lot of advancement in the recent decade as this facilitates people to do various activities even after their old age or some injury. Knee-joint is a complex structure of the human body having a complex shape femoral condoyle which moves over the complex shaped meniscus of the tibial bone and acquires various critical loads at various walking, moving and sitting activities. From a biomechanical point of view, Metal alloys have been the materials of choice since the start of orthopedic surgery. Orthopedic materials must fulfill the mechanical, biological and physical necessities of their proposed utilization. Knee joint is the most complex joint in human body gets the discriminating loads conditions. Accordingly, the material utilized for knee implant assumes exceptionally essential part for long survival of knee prosthesis. The materials that are utilized as biomaterials are cobaltchromium alloy, titanium alloy, stainless steel, zr02 are most usually utilized biomaterials for knee implants. The objective of this Project is to prepare 3D CAD model of prosthetic knee joint implants study the distribution of vonmisses stresses, total deformation, shear stress and in the same by assigning it the different combination of biomaterials for femoral and tibial components. 3D modeling software catia is used for 3D modeling of knee implant and finite element analysis software ANSYS 14.5, finally concluded the suitable material for knee prosthesis. Keywords: Biomaterials, FEA (Finite Element Analysis), prosthesis, TKR (Total knee replacement), von-misses stress, shear stress, total deformation I. INTRODUCTION The knee joint is complex structure in the human body which undergoes critical loading simultaneously while performing different physical activities such as walking, running, in rotational motion, sitting, static positions etc. what we used to do in our day to day life. Major parts in a knee joint are femur, tibia, patella and meniscus. It has two articulation components one is in between the tibia and femur and another between the femur and patella. The knee joint is a pivot hinge joint. It permits extension and flexion of leg with that rotation in both internal as well as external part [1]. It s articular bodies are lateral and medial condyle were patella is present in the posterior region in between the lateral and medial condyle surfaces. Articular capsule of knee joints are the fibrous membrane and synovial membranes. Synovial membranes are those which are been attached near the cartilage of both tibia and femur. Cartilage is elastic thin tissue that acts as protection guard for bone and makes the joint surfaces. In knee joint there are two types of cartilages joint one is fibrous cartilage and other as hyaline cartilage. Fibrous cartilage has resistance to high pressure and has high tensile strength [2]. A meniscus is the articular disk present in the knee joint, having two components i.e. medial and lateral meniscus 202

Figure: 1 Knee joint II. BIOMATERIALS FOR KNEE IMPLANTS The materials that are used as biomaterials include polymers, metals, ceramics and composites. The metals used as biomaterials include titanium alloys, cobalt-chromium alloys, and stainless steels. In polymers UHMWPE (ultra high molecular weight polyethylene) is most commonly used biomaterial. More recently ceramics demonstrated great promise for replacing metals in total knee replacement with the chief benefits of ceramics is their superior wear properties. In this study biomechanical analysis of titanium alloys, cobalt-chromium alloys, stainless steels and UHMWPE have been carried out using FEM and compare the results. Materials used for manufacturing the femoral component of implant are Ti6Al4V alloy, Co-Cr-Mo alloy, SS 316L alloy and oxidized zirconium and the commonly used material for manufacturing the linear insert now a days is UHMWPE (ultra high molecular weight polyethylene). The material properties that are being used for the analysis are mentioned in below tables. Table: 1 properties of Ti-6AL-4V Ti-6AL-4V Young s modulus 114 Tensile strength 850 Ultimate tensile strength 960 Density 4420 Poisson ratio 0.35 Table: 2 properties of Co-Cr-Mo Co-Cr-Mo Young s modulus 230 Tensile strength 530 Ultimate tensile strength 890 Density 8300 Poisson ratio 0.3 Table: 3 properties of SS 316L SS 316L Young s modulus 165 Tensile strength 580 Ultimate tensile strength 515 Density 8000 Poisson ratio 0.3 203

Table: 4 properties of ZrO 2 ZrO 2 Young s modulus 180 Tensile strength 564.8 Ultimate tensile strength 570 Density 8700 Poisson ratio 0.36 III. MODELING OF FEMUR AND TIBIAL JOINT The geometry of prosthesis has a significant influence in its performance therefore need of adopting the standard procedure to model the prosthesis is required. Catia V5 is a computer graphics system for modeling various mechanical designs and for performing related designs and manufacturing operations. Catia V5 is a feature based parametric solid modeling system with many extended design and manufacturing applications. As a comprehensive CAD/CAM/CAE system, covering many aspects of mechanical design, analysis and manufacturing, Catia V5 represents the leading edge of CAD/CAM/CAE technology. The geometrical models were developed by using Catia V5 Figure: 2 Design of Femur in knee implant Figure: 3 Design of Tibial in knee implant Figure: 4 Design of Femur And Tibial Assembly Component 204

1. FEM analysis of knee prosthesis using different biomaterials FEM analysis of prosthetic knee joint, when knee is in straight position was carried out in ANSYS 14.5. Analysis performed for different combination of biomaterials. After Cad Modeling the file is converted into IGES format and imported to the ANSYS 14.5 Environment, and then the solid model is assigned with the material properties and next secernated into smaller units so called Meshing, Dividing the component assembly into finite no of elements. 2. Meshing and Boundary conditions Meshing of artificial knee prosthesis for analysis knee implant imported to Ansys workbench for meshing in the static analysis and the knee is meshed with the tetrahedron meshing is done on the whole 3D model to define and refinement is done on the knee and the meshing style is free. The statics denied after meshing the model is divided into 8172 element s and the number of nodes formed is 14547 and fixed top side and apply forces1500, 3000, 4500 N as shown below figures. Figure: 5 meshing of femur and tibial component IV. RESULTS AND DISCUSSION The constructed Knee implants in Catia are analyzed using ANSYS 14.5 and the results are as shown in below. 205

(i) Ti6Al4V Material Prosthetic Knee Implants at the Load of 3000N Figure: 6 Von-Mises Stress of Ti6Al4v Material at 3000 N Figure: 7 Total Deformationof Ti6Al4v Material at 3000 N Figure: 8 Shear Stress of SS316l Material at 3000 N 206

(ii) Co-Cr-Mo Prosthetic Knee Implants at the Load Of 3000N Figure: 9 Von-Mises Stress Of Co-Cr-Mo Alloy at 3000N Figure: 10 Total Deformation Of Co-Cr-Mo Alloy at 3000N Figure: 11 Shear Stress of Co-Cr-Mo Alloy at 3000N 207

(iii) Stainless Steel prosthetic Knee Implants at the Load Of 3000N Figure: 12 Von-Mises Stress Of SS316l Material at 3000 N Figure: 13 Total Deformation of SS316l Material at 3000 N Figure: 14 Shear Stress of SS316l Materials at 3000 N 208

(iv) ZrO 2 Material prosthetic knee implants at the load of 3000N Figure: 15 Von-Mises Stress of Zr0 2 material at 3000 N Figure: 16 Total Deformation of Zr0 2 material at 3000 N Figure: 17 Shear Stress Of Zr0 2 material at 3000 N 209

(v) Results Summary Table: 5 Results summary of Ti-6Al-4V under different loads Ti- 6AL- 4V maximum load(n) vonmises stress (mpa) total deformation(mm) shear stress(mpa) 1500 1.247 0.00022 0.25 3000 2.49 0.00045 0.52 4500 3.7 0.00067 0.778 Table: 6 Results summary of SS316L under different loads vonmises SS316L maximum load (N) stress (mpa) total deformation (mm) shear stress (mpa) 1500 1.26 0.00022 0.26 3000 2.5 0.00045 0.53 4500 3.78 0.00068 0.78 Table: 7 Results summary of CO-CR-M0 under different loads vonmises maximum total deformation load stress (mm) (N) (mpa) CO- CR-M0 Zr0 2 shear stress (mpa) 1500 1.27 0.00022 0.264 3000 2.577 0.00046 0.54 4500 3.82 0.00069 0.79 Table: 8 Results summary of Zr0 2 under different loads maximum load(n) vonmises stress (mpa) total deformation(mm) shear stress(mpa) 1500 1.28 0.00023 0.267 3000 2.618 0.00047 0.55 4500 3.86 0.00069 0.8 Analysis of knee joint replacement implant materials under different loading conditions are shown in bar chart in terms of von-misses stresses, displacement, shear stresses 210

1. von-misses stress bar chart for implant materials under different loading conditions 2. Deformation bar chart for implant materials under different loading conditions 3. Shear stress bar chart for implant materials under different loading conditions V. CONCLUSION Diligent study of normal Knee joint biomechanics and review of previous implant failures has led to the development of a new generation of implants. This improvement coupled with improved cement less fixation, has 211

led to prosthetic designs with decreased failure rates. However, appropriate selection of patients remains a cornerstone for a successful Knee replacement. In this study, the design approach for a tibial and femur -component implants using CATIA software has been developed. By introducing the contact pair in between the components, non-linear static analysis of an knee joint has been done using ANSYS software. Normally the load acting on the knee joint. The analysis is carried out by walking condition varying the load on the knee implant from 1500, 3000, 4500 Newton s. We are analyzed four different materials cobalt-chromium alloy, titanium alloy, stainless steel, zr02. Static analysis done finally concluded it is that TITANIUM ALLOY material is suitable for Knee joint replacement. Finally concluded titanium alloy implants are the increase the life span REFERENCES [1] S., et al., A Standardized Technique in Performing Pivot-Shift Test on the Knee Joint Provided More Consistent Acceleration Curve Shape, Allowing to Highlight Side-to-Side Differences. Arthroscopy: The Journal of Arthroscopic and Related Surgery, 2013. 29(10): p. e175-e175. [2] Haque, M.A., T. Kurokawa, and J.P. Gong, Super tough double network hydrogels and their application as biomaterials. Polymer, 2012. 53(9): p. 1805-1822. [3] Maas, S.A., et al., FEBio: finite elements for biomechanics. Journal of biomechanical engineering, 2012. 134(1): p. 011005 [4] Padhi, A.K., Development of a Limb prosthesis by reverse mechanotransduction. 2013. [5] Baran, G.R., M.F. Kiani, and S.P. Samuel, Biomaterials Applications in Medicine and Case Studies, in Healthcare and Biomedical Technology in the 21st Century. 2014, Springer. p. 249-285. [6] Carr, A.J., et al., Knee replacement. The Lancet, 2012. 379(9823): p. 1331-1340. [7] Nogler, M., et al., Alignment for total knee replacement: a comparison of kinematic axis versus mechanical axis techniques. A cadaver study. International orthopaedics, 2012. 36(11): p. 2249-2253. [8] Pallante, A.L., et al., Treatment of articular cartilage defects in the goat with frozen versus fresh osteochondral allografts: effects on cartilage stiffness, zonal composition, and structure at six months. The Journal of Bone & Joint Surgery, 2012. 94(21): p. 1984-1995. [9] Robinson, J.C., et al., Variability in costs associated with total hip and knee replacement implants. The Journal of Bone & Joint Surgery, 2012. 94(18): p. 1693-1698. 212