Simulation of multi-frequency-induction-hardening including phase transitions and mechanical effects

Hömberg, Dietmar; Liu, Qingzhe; Montalvo-Urquizo, Jonathan; Nadolski, D.; Petzold, Thomas; Schmidt, Alfred; Schulz, A.

doi:10.1016/j.finel.2016.07.012

Cited by 60 publications

(32 citation statements)

References 19 publications

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“…[3]). The coupling interface between temperature and deformation is thermal expansion and backward mechanical dissipation.…”

Section: The Mathematical Modelmentioning

confidence: 99%

“…For isotropic materials the stress tensor which is a matrix valued function admits a expression in terms of the displacement u (cf. [3,7]). Here the divergence of the tensor is a vector field defined by the divergence for each row of the tensor matrix.…”

Section: The Mathematical Modelmentioning

confidence: 99%

“…Here we use a time stepping scheme of order two with time step ıt. For more details we refer the reader to [3].…”

Section: Numerical Discretizationmentioning

confidence: 99%

“…Further numerical results of gears samples made of the material AISI 4140 including the determination of the most important properties of the parts for industrial practice, e.g. hardness pattern, residual stresses and distortion have been presented in [3]. The paper ends with a short conclusion and an outlook.…”

Section: Introductionmentioning

confidence: 97%

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Simulation of Thermomechanical Behavior Subjected to Induction Hardening

Liu

Petzold

Nadolski

et al. 2016

Scientific Computing in Electrical Engineering

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Induction hardening is one of the most important heat treatments of steel components. This paper presents a mathematical and numerical model developed for a coupled problem of Maxwell's equations describing the electromagnetic fields, the balance of momentum which determines internal stresses and deformations resulting from thermoelasticity and phase transformation induced plasticity, a rate law to determine the distribution of different phases and the heat equation to determine the temperature distribution in the workpiece. The equations are solved using a finite element method. A good agreement between the simulation results and experiment performed to determine the deformation is observed. In addition, the distribution of residual stresses after the heat treatment is well predicted.

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“…[3]). The coupling interface between temperature and deformation is thermal expansion and backward mechanical dissipation.…”

Section: The Mathematical Modelmentioning

confidence: 99%

Section: The Mathematical Modelmentioning

confidence: 99%

“…Here we use a time stepping scheme of order two with time step ıt. For more details we refer the reader to [3].…”

Section: Numerical Discretizationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

See 2 more Smart Citations

Simulation of Thermomechanical Behavior Subjected to Induction Hardening

Liu

Petzold

Nadolski

et al. 2016

Scientific Computing in Electrical Engineering

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“…The physical, temperature dependent parameters taken from literature are replaced by average values over the typical temperature range for induction hardening processes. For further numerical simulations and an experimental verification for the complete temperature dependent induction hardening problem where also mechanical strains and stresses are considered, we refer to [10].…”

Section: Numerical Simulationsmentioning

confidence: 99%

Analysis and simulations of multifrequency induction hardening

Hömberg

Petzold

Rocca

2015

Nonlinear Analysis: Real World Applications

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We study a model for induction hardening of steel. The related differential system consists of a time domain vector potential formulation of the Maxwell's equations coupled with an internal energy balance and an ODE for the volume fraction of austenite, the high temperature phase in steel. We first solve the initial boundary value problem associated by means of a Schauder fixed point argument coupled with suitable a-priori estimates and regularity results. Moreover, we prove a stability estimate entailing, in particular, uniqueness of solutions for our Cauchy problem. We conclude with some finite element simulations for the coupled system.

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Mobile Induction Heat Treatment of Large‐Sized Spur Gear—The Effect of Scanning Speed and Air Gap on the Uniformity of Hardened Depth and Mechanical Properties

Saputro

Chen

Jheng³

et al. 2023

steel research int.

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Prematurely fractured teeth of SCM440 large‐sized spur gear are commonly found among gears of a mechanical press machine. The macroscopic inspection and microstructure examination of a fractured tooth are established to show that the previous induction hardening process produced two serious issues; insufficient hardening in the root areas and nonuniform hardened depth along the tooth circumference. The numerical simulation is executed to replicate the previous induction hardening process, which consists of simulations for tooth‐to‐tooth mobile induction heating, water spray quenching, and the tempering process. This study highlights the influence of most adjustable parameters, such as the scanning speed of the inductor coil and air gap, to collect beneficial insights for further improvements. Experimental and numerical results are compared to validate the numerical model used. The adjustment of scanning speed and air gap highly affects the magnitude and uniformity of hardened depth along the tooth profile. Promising improvements can be achieved by slower, smaller scanning speeds and thinner air gaps, where the distortion is still in the allowed allowable range. This research provides a method and insights for future explorations to deal with relevant issues in the tooth‐to‐tooth mobile induction hardening process.

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Simulation of multi-frequency-induction-hardening including phase transitions and mechanical effects

Cited by 60 publications

References 19 publications

Simulation of Thermomechanical Behavior Subjected to Induction Hardening

Simulation of Thermomechanical Behavior Subjected to Induction Hardening

Analysis and simulations of multifrequency induction hardening

Mobile Induction Heat Treatment of Large‐Sized Spur Gear—The Effect of Scanning Speed and Air Gap on the Uniformity of Hardened Depth and Mechanical Properties

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