scholarly journals Mechanical Metric for Skeletal Biomechanics Derived from Spectral Analysis of Stiffness matrix

2021 ◽  
Author(s):  
Petr Henyš ◽  
Michal Kuchař ◽  
Petr Hájek ◽  
Niels Hammer
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Material Properties ◽  
Spectral Decomposition ◽  
Stiffness Matrix ◽  
Loading Condition ◽  
State Of The Art ◽  
Qualitative Evaluation ◽  
Bone Stiffness ◽  
Unique Information

AbstractA new metric for the quantitative and qualitative evaluation of bone stiffness is introduced. It is based on the spectral decomposition of stiffness matrix computed with finite element method. The here proposed metric is defined as an amplitude rescaled eigenvalues of stiffness matrix. The metric contains unique information on the principal stiffness of bone and reflects both bone shape and material properties. The metric was compared with anthropometrical measures and was tested for sex sensitivity on pelvis bone. Further, the smallest stiffness of pelvis was computed under a certain loading condition and analyzed with respect to sex and direction. The metric complements anthropometrical measures and provides a unique information about the smallest bone stiffness independent from the loading configuration and can be easily computed by state-of-the-art subject specified finite element algorithms.

scholarly journals Mechanical metric for skeletal biomechanics derived from spectral analysis of stiffness matrix

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Petr Henyš ◽  
Michal Kuchař ◽  
Petr Hájek ◽  
Niels Hammer
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Material Properties ◽  
Spectral Decomposition ◽  
Stiffness Matrix ◽  
Loading Condition ◽  
State Of The Art ◽  
Qualitative Evaluation ◽  
Bone Stiffness ◽  
Unique Information

AbstractA new metric for the quantitative and qualitative evaluation of bone stiffness is introduced. It is based on the spectral decomposition of stiffness matrix computed with finite element method. The here proposed metric is defined as an amplitude rescaled eigenvalues of stiffness matrix. The metric contains unique information on the principal stiffness of bone and reflects both bone shape and material properties. The metric was compared with anthropometrical measures and was tested for sex sensitivity on pelvis bone. Further, the smallest stiffness of pelvis was computed under a certain loading condition and analyzed with respect to sex and direction. The metric complements anthropometrical measures and provides a unique information about the smallest bone stiffness independent from the loading configuration and can be easily computed by state-of-the-art subject specified finite element algorithms.

Sensitivity Analysis and Identification of Damping Parameters in the Finite Element Modeling of Piezoelectric Ceramic Disks

2014 ◽  
Vol 975 ◽  
pp. 288-293 ◽  
Author(s):  
Nicolas Pérez Alvarez ◽  
Ronny C. Carbonari ◽  
Marco Aurelio B. Andrade ◽  
Flavio Buiochi ◽  
Julio Cezar Adamowski
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Material Properties ◽  
Constitutive Equations ◽  
Stiffness Matrix ◽  
Piezoelectric Ceramic ◽  
Mass Matrix ◽  
The Other ◽  
Energy Losses ◽  
Element Formulation

Finite element method is widely used to simulate the behavior of piezoelectric ceramics; however, its application is limited by the knowledge of the material properties. The constitutive equations are well defined for low deformations (linear case) and for materials without energy losses. In the finite element formulation of piezoelectric equations, the energy losses are introduced in several ways. In this paper a methodology to adjust the damping parameters for the two most used models, Rayleigh parameters and complex constitutive equations, is presented. The simplest Rayleigh model uses only two damping constants to model the energy losses; one proportional to the mass matrix and the other proportional to the stiffness matrix. The other model uses complex values for all parameters in the constitutive equations; in this approach ten different damping constants must be determined.

The Numerical Simulation of Effective Elastic Response for WC-Co Cemented Carbide

2015 ◽  
Vol 1096 ◽  
pp. 417-421
Author(s):  
Pei Luan Li ◽  
Zi Qian Huang
Keyword(s):  
Numerical Simulation ◽  
Finite Element Method ◽  
Finite Element ◽  
Theoretical Model ◽  
Material Properties ◽  
Cemented Carbide ◽  
Elastic Response ◽  
The Finite Element Method ◽  
Simulation Results ◽  
Element Method

By the use of finite element method, this paper predicts the effects of the shapes of reinforcements with different ductility (Co) on the effective elastic response for WC-Co cemented carbide. This paper conducts a comparative study on the material properties obtained through theoretical model, numerical simulation and experimental observations. Simulation results indicate that the finite element method is more sophisticated than the theoretical prediction.

Development of Bifurcation Analysis Method for Rate Dependent Materials

2019 ◽  
Vol 794 ◽  
pp. 220-225
Author(s):  
Daiki Towata ◽  
Yuichi Tadano
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Bifurcation Analysis ◽  
Stiffness Matrix ◽  
Computational Method ◽  
Analysis Method ◽  
The Finite Element Method ◽  
Tangent Stiffness Matrix ◽  
Rate Dependent ◽  
Element Method

In this study, a novel numerical method to analyze the bifurcation problemof a rate dependent material using the finite element method is proposed. The consistent stiffness matrix, which is required for a bifurcation analysis using the finite element method, for a rate dependent material is generally hard to compute, therefore, a computational method to calculate the tangent stiffness matrix based on a numerical differential is introduced so that exact bifurcation analyses for the rate dependent material can be conducted. A numerical example of the proposed method is demonstrated, and the adequacy of the proposed method is discussed.

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