By H. Cerjak
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Extra resources for B0695 Mathematical modelling of weld phenomena 4
Equation (5) guarantees the continuity of Vp/ p at the discontinuity. By this procedure, we can treat all the material at once by simply changing its equation of state. We note again that this property is a consequence of the separate treatment of advection and non-advection terms, otherwise the continuity of Vp/ p is not guaranteed and a large density can not be traced. 3 Elastic-Plastic Elastic motion can be included also in Eqn (1) as Model Q _ ~ OSij U P 8xj - where s is the stress tensor. The time development of stress is calculated to be dSij .
8 ~ :::J ~ -2 D.. 0048 Wt% 0 , -. ~,; ...... , "-:, Q) Q) . 0030 Wt% o '0 C Q) 4 Modelling of Weld Phenomena ........ * .... •.... * E Q) J- 1800 . ..... -:-... : * * * 2000 2200 2400 Temperature : * ~* 2600 . * 2800 3000 in K Fig. 2 Dependence of the coefficient of surface tension on temperature surface activity. and where kz is a constant related to the entropy of segregation. A plot of the coefficient of surface tension on temperature for different activities of sulphur can be observed in Fig.
42. G. Bendszak: private communication. 43. U. Dilthey, V. Pavlik and T. Reichel: Mathematical Modelling of Weld Phenomena 3, H. , The Institute of Materials, London, 1997,85-105. 24 Mathematical 44. 45. 46. 47. 48. 49. 50. 51. 52. 53. 54. 55. 56. 57. 58. 59. 60. 61. Modelling of Weld Phenomena 4 D. LL. Guthrie: ISIJ International, 1994, 34(5),384-392. T. Johansen and F. Boysan: Met. Trans. B, 1988, 19B, 755-764. -H. W. Chang: it Journal of Aerosol Science, 1996,27(5),681-694 Y. Arata: Proceedings of Int.
B0695 Mathematical modelling of weld phenomena 4 by H. Cerjak