Application of the Johnson-Cook plasticity model in the finite element simulations of the nanoindentation of the cortical bone.

Remache, Djamel; Semaan, Marie; Rossi, Jérémy; Pithioux, Martine; Milan, Jean-Louis

doi:10.1016/j.jmbbm.2019.103426

Cited by 27 publications

(14 citation statements)

References 69 publications

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“…e constitutive equation developed by Johnson-Cook also known as Johnson and Cook model carried out to evaluate the high rate of deformation during the simulation. e model has proven to be very popular and has been used extensively in national laboratories, military laboratories, and private industry to study material behaviors under conditions of large strain and a wide range of strain-rates and temperatures [38,39].…”

Section: Johnson-cook Constitutive Equation Johnson Andmentioning

confidence: 99%

Experimental and Numerical Simulation to Validate Critical Perforation Velocity on a Flat Plate Aluminium Alloy 6061

Yadav

Jahangiri

Singh

2022

Advances in Materials Science and Engineering

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Aluminium 6061 (Al6061) alloy, which is known as commercial alloy, is massively used in aviation and automobile industries. Therefore, research on Al6061 alloy is gaining significance among scientists and researchers all over the world as it provides light weight, high strength and stiffness, high impact, and corrosion resistance in engineering applications. The comprehensive analysis of mechanical behavior under large stress-strain deformation responses of the alloy is studied over a wide range of strain-rates such as 1 × 10−3 s−1, 1 × 103 s−1, 2 × 103 s−1, and 3 × 103 s−1 under room temperature to elevated temperatures of 100°C and 200°C. In this regard, this study aims to evaluate the Johnson–Cook strength and fracture constants utilizing the Johnson–Cook constitutive model equations. Furthermore, the evaluated constant parameters have been used to perform numerical simulation analysis utilizing ABAQUS/CAE software. According to the study’s findings, the critical perforation velocity was found to be 70 ms−1 when a flat-nosed bullet (45 mm length and 12 mm diameter) made of stainless steel weighing 50 grams was fired normally to the center of a square plate specimen of Al6061 alloy. The specimen of the square flat plate was prepared with side 205 mm and 2 mm thickness (205 × 205 × 2 mm3). A good correlation for critical perforation velocity of experimental acquisition data and numerical simulation results has been found. These findings increase the knowledge of the material’s response application to the high-velocity impact that can be used in arms-ammunition, aviation, marine, automobile, and home appliances.

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Section: Johnson-cook Constitutive Equation Johnson Andmentioning

confidence: 99%

Experimental and Numerical Simulation to Validate Critical Perforation Velocity on a Flat Plate Aluminium Alloy 6061

Yadav

Jahangiri

Singh

2022

Advances in Materials Science and Engineering

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“…In this study, we are interested in the elasto-plastic behaviour of articulated truss structures. A simplified linear isotropic strain-hardening model of the Johson Cook type [14] is implemented. Thus, the simplified model is bilinear and characterized by a Young's modulus E and a tangent modulus E T , the yield strength 0 σ , yield stress projection 0 σ ′ (see Figure 1).…”

Section: Selecting a Templatementioning

confidence: 99%

A Simple Elasto-Plastic Iterative Method by Fem for the Analysis of Plane Articulated Truss: Case of a 3-Bar Truss

Rolland¹,

Christian²,

Kenmeugné³

et al. 2021

MSCE

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This paper presents a simplified numerical simulation tool for the elasto-plastic calculation of plane articulated truss by the finite element method (FEM) in MATLAB. The simplified approach consists of linearizing isotropic strain-hardening (to obtain a bilinear material law). The numerical implementation is built on the basis of the incremental and iterative FEM algorithms. The numerical resolution technique used is based on the projection methods of the modified Newton-Raphson solution. The MATLAB program is developed for the application of a 3-bar truss under monotonous quasi-static loading. Different values of the approximation error of the convergence criterion are used to study its impact on the quality of the algorithm. Numerical simulations have shown the reliability and quality of our simplified approach regardless of the approximation error.

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“…the relationship between stress and temperature. The Johnson-Cook model parameters of the bone (Remache et al, 2019) are shown in Table 2.…”

Section: 2constitutive Equation Of Materialsmentioning

confidence: 99%

Modeling and simulation of a single abrasive grain micro-grinding force and temperature of bone

Tian

Zheng

Wang

et al. 2020

JBSE

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Grinding methods have been widely used in orthopedic surgery, which has high requirements for surface quality, grinding force and temperature control. It is necessary to explore the influence of micro-grinding parameters on the grinding force temperature from a microscopic perspective. This paper describes the micro structure, composition and thermodynamic properties of bone. From the perspective of the single abrasive grain, the single abrasive grain cutting model is established, and the single abrasive grain cutting force equation is derived. ABAQUS is used to establish a 2D cutting simulation model of abrasive grains, and the internal structure of the bone material is considered, and the bone micro structure model (including osteon orientation , matrix, cement line ) is established. The simulation study is carried out on the cutting direction of the abrasive grains in parallel, vertical and cross with the axial unit axis. The study of the relationship between force and temperature and cutting parameters shows that the abrasive cutting force increases with the increase of grinding speed and grinding depth. The cutting force is the largest in the vertical cutting mode, the cutting force is the second in the cross cutting mode, and the cutting force is the smallest in the parallel cutting mode. Finally, the comparison between theory and simulation shows that the theoretical analysis results are consistent with the finite element simulation results, which verifies the correctness of the theoretical model of single abrasive grain cutting force.

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Application of the Johnson-Cook plasticity model in the finite element simulations of the nanoindentation of the cortical bone.

Cited by 27 publications

References 69 publications

Experimental and Numerical Simulation to Validate Critical Perforation Velocity on a Flat Plate Aluminium Alloy 6061

Experimental and Numerical Simulation to Validate Critical Perforation Velocity on a Flat Plate Aluminium Alloy 6061

A Simple Elasto-Plastic Iterative Method by Fem for the Analysis of Plane Articulated Truss: Case of a 3-Bar Truss

Modeling and simulation of a single abrasive grain micro-grinding force and temperature of bone

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