Coupling of analytical and numerical models for laser adjustment

Geiger M, Müller B (1998)

Publication Type: Journal article

Publication year: 1998


Publisher: None

Book Volume: 7

Pages Range: 275-286


Miniaturisation in mass production requires more and more accuracy. Economic production of the demanded tolerances cannot be achieved with the available joining technology. The only possibility is laser beam adjustment of the already joined structural component. Modelling the behaviour of complex three-dimensional structures during laser adjustment becomes more and more necessary for building up a closed loop system which is designed to reach the accuracy of less than 0.1 μm. The model which is presented in this paper can be characterised by the fact that the plastic strain field after the laser irradiation is analytically calculated and included into a FEM program. The analytical solution includes the solution of the one-dimensional transient temperature field by pulsed irradiation assuming pulse durations in the range of nanoseconds. Based on this transient temperature field, a local maximum temperature is calculated. This non-time-dependent function is the basis of the calculation of the plastic deformation. Both elastic deformation and restraining is taken into account. The so-calculated plastic deformation is a residual stress source. For simple geometries like stripes, this plastic strain is used for calculating the bending angle by integrating over all three directions. On the other hand it is linearised and builds the input for the FE calculation. This method makes a fast calculation of the three-dimensional forming of complex geometries in short calculation times possible.

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Geiger, M., & Müller, B. (1998). Coupling of analytical and numerical models for laser adjustment. Lasers in Engineering, 7, 275-286.


Geiger, Manfred, and Burkhard Müller. "Coupling of analytical and numerical models for laser adjustment." Lasers in Engineering 7 (1998): 275-286.

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