An numerical analysis method for explosive welding of interface stress field utilized on Dirac delta function

Using the model of uniform cross section of homogeneous beam, the functional equation of free vibration mode of Dirac δ Function was established for composite plate produced by the method of explosive welding red copper and low carbon steel together in this paper. The distribution of stress field for the interface between composite material was simulated. The value and distribution of interface stress field under different welding parameters were gutted. The regularities of distribution of stress field for impact points were discovered. The results show that a relatively strong impact pressure was performed at the impact point when explosive welding takes place. Negative pressure was produced at both sides of the impact point correspondingly. This provides favorable conditions for the material of upset plate invading into parent plate. The calculation model of this paper can reasonably explain the formation mechanism of undulating interfaces. At the same time, the calculated results accord with the experimental results very well. The calculation analysis of different explosive welding parameters used in the calculation model of this paper indicates that the collision angle δ and detonation velocity V d influence greatly the quality of interface ripple of welding test piece. Based on reasonable explosive welding parameters and an appropriate numerical method, good quality of the explosive welding specimen can be obtained. © 2012 American Scientific Publishers. All rights reserved.