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Line heating assisted with laser as a heat source is a flexible forming process that forms sheet metal by means of stresses induced by external heat instead of by means of external force. The process has the potential to be applied as a primary forming method for forming accurate shapes. However successful application of this process in industry is limited due to high equipment costs and safety requirements. The production of complex shapes requires the understanding of laser-material interaction. The chapter presents the mathematical formulation of development of smooth continuous curved surface. It is developed by deformation of sheet under plane stress condition by taking into account the strain distribution and the coefficient of first fundamental form of curve surface. Surface development is carried out along principal curvature direction along with the procedure for suitable determination of heating line pattern for the desired engineering surfaces.
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- Mathematical Formulation for Development of Compound Curve Surface by Laser Line Heating
- Springer India