Finite Element Analysis of the Knee: The Effect of Tibiofemoral Alignment and Weight on the Stresses in the Knee

Author(s):  
N. H. Yang ◽  
H. N. Hashemi ◽  
P. Canavan

Osteoarthritis (OA) is a degenerative disease of articular cartilage that affects millions of people [1]. Local biomechanical factors may severely affect the initiation and progression of OA due to changes in loading conditions at the knee cartilage. Body weight and the frontal plane tibiofemoral alignment are two biomechanical factors that could increase the overall loading at the knee. A normal knee will have a tibiofemoral angle approximately 7° valgus [2]. Deviation from this angle leads to a knee joint with a varus or valgus condition. The tibiofemoral angle is measured by the intersection made between the mechanical axis of the femur and the tibia in the frontal plane and affects the magnitude of the varus knee moment, Fig. 1A. Biomechanical studies have shown the varus moment is a key determinant in the load distribution at the knee [3, 4], Fig. 1A, and has been linked to OA progression [5, 6].

Author(s):  
Paul K. Canavan ◽  
Nicholas H. Yang ◽  
Hamid Nayeb-Hashemi

Osteoarthritis (OA) is a degenerative disease of articular cartilage that affects millions of people [1]. Local biomechanical factors may severely affect initiation and progression of OA due to changes in loading conditions at the cartilage. The frontal plane tibiofemoral alignment effects the varus/valgus moment which could increase the overall loading at the knee. Biomechanical studies have reported that the varus moment is a key determinant in the load distribution at the knee [2, 3] and has been linked to OA progression [4, 5]. A normal knee will have a tibiofemoral angle approximately 7° valgus [6]. Deviation from this angle leads to a knee joint with a varus or valgus condition. In this investigation, a motion analysis procedure was developed to determine the affect of the frontal plane tibiofemoral angle on the force and moment reactions at the knee. The results of these methods could be utilized in a subject specific finite element model to determine the stress and strain at the knee cartilage and to suggest measures to prevent OA.


2010 ◽  
Vol 26 (4) ◽  
pp. 432-443 ◽  
Author(s):  
Nicholas H. Yang ◽  
Paul K. Canavan ◽  
Hamid Nayeb-Hashemi

Subject-specific models were developed and finite element analysis was performed to observe the effect of the frontal plane tibiofemoral angle on the normal stress, Tresca shear stress and normal strain at the surface of the knee cartilage. Finite element models were created for three subjects with different tibiofemoral angle and physiological loading conditions were defined from motion analysis and muscle force mathematical models to simulate static single-leg stance. The results showed that the greatest magnitude of the normal stress, Tresca shear stress and normal strain at the medial compartment was for the varus aligned individual. Considering the lateral knee compartment, the individual with valgus alignment had the largest stress and strain at the cartilage. The present investigation is the first known attempt to analyze the effects of tibiofemoral alignment during single-leg support on the contact variables of the cartilage at the knee joint. The method could be potentially used to help identify individuals most susceptible to osteoarthritis and to prescribe preventive measures.


Author(s):  
N. H. Yang ◽  
P. K. Canavan ◽  
H. N.-Hashemi

Surgical removal of meniscal tissue alters the kinematics and load distribution of the knee and decreases the contact area causing greater magnitude of compressive stress and shear stress. These changes may result in damage to the knee cartilage and lead to subsequent osteoarthritis (OA) (1). Allen et al. (2) found a significant increase in knee OA after meniscectomy with pre-existing abnormal frontal plane tibiofemoral alignment. Tibiofemoral alignment affects the varus/valgus moment during ambulation and during single-leg stance, Fig. 1A. The varus moment, or adduction moment, is the primary factor in the distribution of the force to the medial compartment of the knee joint during normal gait (4). Previous finite element analysis (FEA) studies investigating partial and total meniscectomies applied only axial loads and do not take into account the varus moment that occurs during single-leg support (4, 5). The present 3-D FEA investigation utilizes subject specific loading conditions (including the varus knee moment) to study the combined effect of tibiofemoral knee alignment and partial and total meniscectomies on the stresses at the knee cartilage.


Author(s):  
Nicholas Yang ◽  
Hamid Nayeb-Hashemi ◽  
Paul Canavan

Three-dimensional (3-D) finite element analysis (FEA) knee models were created to determine the effect of the frontal plane tibiofemoral angle on the stress and strain at the knee cartilage during the stance phase of the gait cycle. Knee models of three healthy subjects of different tibiofemoral angles and weight were created from sagittal view magnetic resonance images (MRI) of the knee. The loading conditions were determined from motion analysis and force platform data and a muscle force reduction model. During the stance phase, the subjects exhibited a valgus-varus-valgus knee moment pattern that determined the location and magnitude of the maximum stress and strain in the cartilage on the lateral or medial compartment of the knee. The highest values of the normal stress, Tresca shear stress and normal strain for each subject occurred at 25% of the stance phase of the gait cycle, where the maximum compressive load and varus knee moment occurred. The individual with the varus aligned knee had the largest stress and strain at the medial compartment of the knee compared to the normal aligned and valgus aligned individuals due to the larger varus knee moment exhibited during the stance phase of the gait cycle in the varus aligned individual. The results from the FEA data may be used by health care professional to identify individuals most susceptible to knee osteoarthritis (OA) and assist in developing preventive measure to slow and possibly stop the initiation and progression of OA.


Author(s):  
Nicholas H. Yang ◽  
H. Nayeb-Hashemi ◽  
Paul K. Canavan

Osteoarthritis (OA) is a degenerative disease of articular cartilage that may lead to pain, limited mobility and joint deformation. It has been reported that abnormal stresses and irregular stress distribution may lead to the initiation and progression of OA. Body weight and the frontal plane tibiofemoral angle are two biomechanical factors which could lead to abnormal stresses and irregular stress distribution at the knee. The tibiofemoral angle is defined as the angle made by the intersection of the mechanical axis of the tibia with the mechanical axis of the femur in the frontal plane. In this study, reflective markers were placed on the subjects’ lower extremity bony landmarks and tracked using motion analysis. Motion analysis data and force platform data were collected together during single-leg stance, double-leg stance and walking gait from three healthy subjects with no history of osteoarthritis (OA), one with normal tibiofemoral angle (7.67°), one with varus (bow-legged) angle (0.20°) and one with valgus (knocked-knee) angle (10.34°). The resultant moment and forces in the knee were derived from the data of the motion analysis and force platform experiments using inverse dynamics. The results showed that Subject 1 (0.20° valgus) had a varus moment of 0.38 N-m/kg, during single-leg stance, a varus moment of 0.036 N-m/kg during static double-leg stance and a maximum varus moment of 0.49 N-m/kg during the stance phase of the gait cycle. Subject 2 (7.67° valgus tibiofemoral angle) had a varus moment of 0.31 N-m/kg, during single-leg stance, a valgus moment of 0.046 N-m/kg during static double-leg stance and a maximum varus moment of 0.37 N-m/kg during the stance phase of the gait cycle. Subject 3 (10.34° valgus tibiofemoral angle) had a varus moment of 0.30 N-m/kg, during single-leg stance, a valgus moment of 0.040 N-m/kg during static double-leg stance and a maximum varus moment of 0.34 N-m/kg during the stance phase of the gait cycle. In general, the results show that the varus moment at the knee joint increased with varus knee alignment in static single-leg stance and gait. The results of the motion analysis were used to obtain the knee joint contact stress by finite element analysis (FEA). Three-dimensional (3-D) knee models were constructed with sagittal view MRI of the knee. The knee model included the bony geometry of the knee, the femoral and tibial articular cartilage, the lateral and medial menisci and the cruciate and the collateral ligaments. In initial FEA simulations, bones were modeled as rigid, articular cartilage was modeled as isotropic elastic, menisci were modeled as transversely isotopic elastic, and the ligaments were modeled as 1-D nonlinear springs. The material properties of the different knee components were taken from previously published literature of validated FEA models. The results showed that applying the axial load and varus moment determined from the motion analysis to the FEA model Subject 1 had a Von Mises stress of 1.71 MPa at the tibial cartilage while Subjects 2 and 3 both had Von Mises stresses of approximately 1.191 MPa. The results show that individuals with varus alignment at the knee will be exposed to greater stress at the medial compartment of the articular cartilage of the tibia due to the increased varus moment that occurs during single leg support.


2018 ◽  
Vol 10 (6) ◽  
pp. 168781401877525 ◽  
Author(s):  
Shangjun Ma ◽  
Chenhui Zhang ◽  
Tao Zhang ◽  
Geng Liu ◽  
Shumin Liu

In this article, 3D or three-dimensional finite element analysis is used to simulate and evaluate the load distribution characteristics of a planetary roller screw mechanism under thermo-mechanical coupling. The finite element model takes into account the installation modes of the planetary roller screw mechanism, which is verified by comparison with theoretical models for a certain load magnitude in four installation modes. In addition, the effects of the installation mode, load magnitude, and temperature condition on the load distribution are also systematically analyzed. The numerical results reveal a phenomenon of threads separating from the meshing, which indicates that the influence of thermo-mechanical coupling on the load distribution cannot be ignored. Furthermore, the influence of the installation mode on the screw–roller interface is larger than that on the nut–roller interface. Compared with the screw–roller interface, the temperature difference is one of the main conditions affecting the load distribution of the planetary roller screw mechanism and has a significant effect on the nut–roller interface. In addition, the influences of the screw rotational speed and the load magnitude on the load distribution on the screw–roller interface are larger than those on the nut–roller interface for the four installation modes.


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