Research on the temperature field in laser hardening
نویسندگان
چکیده
منابع مشابه
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چکیده ندارد.
Optimal control of laser hardening
We present a mathematical model for the laser surface hardening of steel. It consists of a nonlinear heat equation coupled with a system of ve ordinary diierential equations to describe the volume fractions of the occuring phases. Existence, regularity and stability results are discussed. Since the resulting hardness can be estimated by the volume fraction of martens-ite, we formulate the probl...
متن کاملOn the Optimal Control Problem of Laser Surface Hardening
We discuss an optimal control problem of laser surface hardening of steel which is governed by a dynamical system consisting of a semilinear parabolic equation and an ordinary differential equation with a non differentiable right hand side function f+. To avoid the numerical and analytic difficulties posed by f+, it is regularized using a monotone Heaviside function and the regularized problem ...
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ژورنال
عنوان ژورنال: Optics & Laser Technology
سال: 2006
ISSN: 0030-3992
DOI: 10.1016/j.optlastec.2004.11.005