Numerical simulation of the surface hardening of steel

DOI10.1108/09615539910286042zbMath1073.76597OpenAlexW1980492413MaRDI QIDQ4952972

Jürgen Fuhrmann, Dietmar Hömberg

Publication date: 30 January 2001

Published in: International Journal of Numerical Methods for Heat & Fluid Flow (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/09615539910286042

zbMATH Keywords

laser hardeninginduction hardening

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Multiphase and multicomponent flows (76T99) Finite difference methods applied to problems in fluid mechanics (76M20) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (11)

Nonlinear conjugate gradient methods for the optimal control of laser surface hardening ⋮ Parameter determination of an evolution model for phase transformations in steel ⋮ A mathematical model for induction hardening including mechanical effects ⋮ A posteriori error estimates for an optimal control problem of laser surface hardening of steel ⋮ Control of laser surface hardening by a reduced-order approach using proper orthogonal decomposition ⋮ Adaptive Space-Time Finite Element Methods for Parabolic Optimization Problems ⋮ Analysis and simulations of multifrequency induction hardening ⋮ A dual weighted residual method for an optimal control problem of laser surface hardening of steel ⋮ Existence and uniqueness of solutions of certain systems of algebraic equations with off-diagonal nonlinearity ⋮ A MATHEMATICAL MODEL FOR CASE HARDENING OF STEEL ⋮ Existence of a weak solution to a nonlinear induction hardening problem with Leblond-Devaux model for a steel workpiece

Cites Work

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• Mathematical modeling in the technology of laser treatments of materials
• Irreversible Phase Transitions in Steel
• Multi-grid solution of two coupled Stefan equations arising in induction heating of large steel slabs
• Mathematical Models of Solid-Solid Phase Transitions in Steel
• A NONLINEAR PARABOLIC SYSTEM ARISING IN THERMOMECHANICS AND IN THERMOMAGNETISM
• NUMERICAL MODELING OF INDUCTION HEATING FOR TWO-DIMENSIONAL GEOMETRIES
• An analysis of phase transition models
• A mathematical model for the phase transitions in eutectoid carbon steel

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