Estimating the Strain-Rate-Dependent Parameters of the Cowper-Symonds and Johnson-Cook Material Models using Taguchi Arrays

Škrlec, Andrej; Klemenc, Jernej

doi:10.5545/sv-jme.2015.3266

Cited by 18 publications

(18 citation statements)

References 14 publications

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“…19 The larger the strain rate, the higher the flow stress, as represented in Figure 2, according to the experimental data published in the literature for other materials. 19 …”

Section: Materials Propertiessupporting

confidence: 50%

“…According to Skrlec and Klemenc, 19 the three most common applied material models that consider the strain-rate effects are: Cowper-Symonds, Johnson-Cook and Zerilli-Armstrong. Since the Cowper-Symonds material model is simpler than the other two, considers the material failure and has been often applied in bone material models, we considered only this model in our research.…”

Section: Materials Propertiesmentioning

confidence: 99%

“…[26][27][28] The material parameters that consider the strain rate effects are not simply measured and determined, some of them are empirically determined through special experimental and optimisation process. 19 The drill bit was assumed to be a rigid body, since its stiffness is much higher than the bone. This is a practice way to reduce computational cost and resources involved in the drilling simulation.…”

Section: Materials Propertiesmentioning

confidence: 99%

“…Through the temperature data obtained with experimental tests, the time temperature history was applied to the bone block component as a prescribed temperature load, producing the heating source effect inside the block. The initial temperature of the bone block component was defined as 19 C.…”

Section: Thermo-mechanical Model Of Drillingmentioning

confidence: 99%

See 3 more Smart Citations

Thermo-mechanical stresses distribution on bone drilling: Numerical and experimental procedures

Fernandes

Fonseca

Jorge

2017

Proceedings of the Institution of Mechanical Engineers, Part L:

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In bone drilling, the temperature and the level of stresses at the bone tissue are function of the drilling parameters. If certain thresholds are exceeded, irreversible damages may occur on the bone tissue. One of the main challenges in the drilling process is to control the associated parameters and even more important, to avoid the surrounding tissue damage. In this study, a dynamic numerical model is developed to determine the thermo-mechanical stresses generated during the bone drilling, using the finite element method. The numerical model incorporates the geometric and dynamic characteristics involved in the drilling processes, as well the developed temperature inside the material. The numerical analysis has been validated by experimental tests using polyurethane foam materials with similar mechanical properties to the human bone. Results suggest that a drill bit with lower drill speed and higher feed rate can reduce the strains and stresses in bone during the drilling process. The proposed numerical model reflected adequately the experimental results and could be useful in determination of optimal drilling conditions that minimise the bone injuries.

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“…19 The larger the strain rate, the higher the flow stress, as represented in Figure 2, according to the experimental data published in the literature for other materials. 19 …”

Section: Materials Propertiessupporting

confidence: 50%

Section: Materials Propertiesmentioning

confidence: 99%

Section: Materials Propertiesmentioning

confidence: 99%

Section: Thermo-mechanical Model Of Drillingmentioning

confidence: 99%

See 2 more Smart Citations

Thermo-mechanical stresses distribution on bone drilling: Numerical and experimental procedures

Fernandes

Fonseca

Jorge

2017

Proceedings of the Institution of Mechanical Engineers, Part L:

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“…As before [38], we decided to use Taguchi orthogonal arrays (TAs). We applied the L 81 (3 40 ) orthogonal array and transformed it into the L 81 (9 10 ) orthogonal array using a linear graph [24,25].…”

Section: Selection Of the Doe Technicquementioning

confidence: 99%

Estimating the Strain-Rate-Dependent Parameters of the Johnson-Cook Material Model Using Optimisation Algorithms Combined with a Response Surface

Škrlec

Klemenc

2020

Mathematics

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Under conditions where a product is subjected to extreme mechanical loading over a very short time period, the strain rate has considerable influence on the behaviour of the product’s material. To simulate the behaviour of the material accurately under these loading conditions, the appropriate strain-rate parameters for the selected material model should be used. The aim of this paper is to present a quick method for easily determining the appropriate strain-rate-dependent parameter values of the selected material model. The optimisation procedure described in the article combines the design-of-experiment (DoE) technique, finite-element simulations, modelling a response surface and an evolutionary algorithm. First, a non-standard dynamic experiment was designed to study the behaviour of thin, flat, metal sheets during an impact. The experimental data from this dynamic and the conventional tensile experiments for mild steel were the basis for the determination of the Johnson-Cook material model parameters. The paper provides a comparison of two optimisation processes with different DoE techniques and with three different optimisation algorithms (one traditional and two metaheuristic). The performances of the presented method are compared, and the engineering applicability of the results is discussed. The identified parameter values, which were estimated with the presented procedure, are very similar to those from the literature. The paper shows how the application of a properly designed plan of simulations can significantly reduce the simulation time, with only a minor influence on the estimated parameters. Furthermore, it can be concluded that in some cases the traditional optimisation method is as good as the two metaheuristic methods. Finally, it was proven that experiments with different strain rates must be carried out when estimating the corresponding material parameters.

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Effect of the pressure on fracture behaviors of metal sheet punched by laser-induced shock wave

Zhang

et al. 2019

Int J Adv Manuf Technol

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Estimating the Strain-Rate-Dependent Parameters of the Cowper-Symonds and Johnson-Cook Material Models using Taguchi Arrays

Cited by 18 publications

References 14 publications

Thermo-mechanical stresses distribution on bone drilling: Numerical and experimental procedures

Thermo-mechanical stresses distribution on bone drilling: Numerical and experimental procedures

Estimating the Strain-Rate-Dependent Parameters of the Johnson-Cook Material Model Using Optimisation Algorithms Combined with a Response Surface

Effect of the pressure on fracture behaviors of metal sheet punched by laser-induced shock wave

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