本文用位错连续分布方法分析了位错所产生的应变和应力场,用位错规范场表出了位错芯区的位错分布,并在一定规范条件下求解了位错规范场。得到了螺位错芯区内、外的应力场。在螺位错芯区外,其应力场与Volterra位错的应力场完全一样,而在芯区内,当ρ趋于零时,螺位错的应力场是有解的。最后计算了螺位错的能量。 In this dissertation, the dislocation continuous distribution method is used to analyze the strain and stress field produced by dislocation. The dislocation distribution in the dislocation core area is shown by the dislocation gauge field, and the dislocation gauge field is solved under a certain criterion. Get screw dislocation core area, outside the stress field. The stress fields of Volterra dislocations are exactly the same except for the screw dislocations, while in the core regions, the stress fields of screw dislocation are solved when ρ tends to zero. The final calculation of the screw dislocation energy.