Modeling the Lowest Hardness Point in a Steel Bar During Quenching

Elmaryami, Abdlmanam S. A.; Omar, Badrul

doi:10.1520/mpc104386

Cited by 3 publications

(3 citation statements)

References 5 publications

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“…Two point recurrence formulas will allow us to compute the nodal temperatures as a function of time. In this paper, Euler's method which is known as the backward difference scheme (FDS) will be used to determine the rate of change in temperature, the temperature history at any point (node) of the steel bar [5,[14][15][16][17].…”

Section: Euler's Methodsmentioning

confidence: 99%

“…Figure 1. This figure clearly showed the meshing of axisymmetric one dimensional line (radius) element from the entire domain, the selected 4 elements with 5 nodes and the boundary at node j [5] for an element 4…”

Section: Shape Function Of the Axisymmetric Triangular Elementmentioning

confidence: 99%

“…Quenching of steels is a multi-physics process involving a complicated pattern of couplings among heat transfer, because of the complexity, coupled (thermal-mechanical-metallurgical) theory and non-linear nature of the problem, no analytical solution exists; however, numerical solution is possible by finite difference method, finite volume method, and the most popular one -finite element method (FEM) [4]. During the quenching process of the steel bar, the heat transfer is in an unsteady state as there is a variation of temperature with time [5]. The heat transfer analysis in this paper will be carried out in 3-dimensions.…”

Section: Introductionmentioning

confidence: 99%

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A Novel (1-D) Mathematical Modeling to Determine (E-LHP) of Industrial Transient Heat Transfer Quenched Chromium Steel 5147H, Sea Water Cooled

Elmaryami¹,

Omar²

2020

TI-IJES

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The modelling of an axisymmetric industrial quenched chromium steel bar AISI-SAE 5147H, sea water cooled based on finite element method has been produced to investigate the impact of process history on metallurgical and material properties. Mathematical modelling of 1-Dimensional line (radius) element axisymmetric model has been adopted to predict temperature history and consequently the hardness of the quenched steel bar at any point (node). The lowest hardness point (LHP) is determined. In this paper hardness in specimen points was calculated by the conversion of calculated characteristic cooling time for phase transformation t8/5 to hardness. The model can be employed as a guideline to design cooling approach to achieve desired microstructure and mechanical properties such as hardness. The developed mathematical model converted to a computer program. This program can be used independently or incorporated into a temperature history calculator to continuously calculate and display temperature history of the industrial quenched steel bar and thereby calculate LHP. The developed program from the mathematical model has been verified and validated by comparing its hardness results with commercial finite element software results. The comparison indicates reliability of the proposed model.

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Section: Euler's Methodsmentioning

confidence: 99%

Section: Shape Function Of the Axisymmetric Triangular Elementmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A Novel (1-D) Mathematical Modeling to Determine (E-LHP) of Industrial Transient Heat Transfer Quenched Chromium Steel 5147H, Sea Water Cooled

Elmaryami¹,

Omar²

2020

TI-IJES

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An Innovative E-LHP Software to Study the Effect of Radius on (LHP) During Transient Heat Transfer Quenched Alloy SCM440-Steel Bar

Elmaryami¹,

Muhammad

2023

EJENG

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The modeling of an axisymmetric industrial quenched alloy steel SCM440 based on the finite element method (FEM) has been produced to investigate the impact of process history on material properties and metallurgical. Mathematical modeling of the 1-Dimensional element axisymmetric model has been adopted to determine the temperature history and consequently the hardness of the heat-treated steel bar at any node. The lowest hardness point (LHP) will be at the half-length at the center and the effect of radius on (LHP) is calculated. In this manuscript hardness (HRC) in specimen points was determined by the conversion of computed characteristic cooling time for phase transformation t8/5 which equal (t5 - t8) to hardness. The model can be employed as a guideline to design a cooling approach to achieve desired mechanical properties such as hardness, toughness, and microstructure. The developed mathematical model was converted into a computer program. The computer program can be used independently or incorporated into a temperature history software named (E-LHP-software) to continuously determine and display the temperature history of the heat-treated quenched steel bar and thereby calculate the lowest hardness point and the effect of the radius in LHP can be analyzed and studied. The developed program from the mathematical model (MM) has been verified and validated by comparing its hardness results with experimental work results. The comparison indicates the reliability of the proposed model.

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A novel 2-D mathematical modeling to determine LHP to protect the industrial transient heat treatment quenched low carbon steels bar

Elmaryami,

Mohamed

2023

Zaštita materijala

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2-dimensional mathematical model of axisymmetric transient industrial quenched low carbon steel bar, to examine the influence of process history on metallurgical and material characteristics, a water-cooled model based on the finite element technique was adopted. A 2-dimensional axisymmetric mathematical model was utilized to predict temperature history and, as a result, the hardness of the quenched steel bar at any node (point). The LHP (lowest hardness point) is evaluated. In this paper, specimen points hardness was evaluated by the transformation of determined characteristic cooling time for phase conversion t8/5 to hardness. The model can be used as a guideline to design cooling approach to attain the desired microstructure and mechanical properties, for example, hardness. The mathematical model was verified and validated by comparing its hardness results to the results of commercial finite element software. The comparison demonstrates that the proposed model is reliable.

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Modeling the Lowest Hardness Point in a Steel Bar During Quenching

Cited by 3 publications

References 5 publications

A Novel (1-D) Mathematical Modeling to Determine (E-LHP) of Industrial Transient Heat Transfer Quenched Chromium Steel 5147H, Sea Water Cooled

A Novel (1-D) Mathematical Modeling to Determine (E-LHP) of Industrial Transient Heat Transfer Quenched Chromium Steel 5147H, Sea Water Cooled

An Innovative E-LHP Software to Study the Effect of Radius on (LHP) During Transient Heat Transfer Quenched Alloy SCM440-Steel Bar

A novel 2-D mathematical modeling to determine LHP to protect the industrial transient heat treatment quenched low carbon steels bar

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