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平面应力的弹塑性断裂模型及其有限元分析
AN ELASTIC-PLASTIC FRACTURE MODEL OF PLANE STRESS AND ITS FINITE ELEMENT ANALYSIS
【摘要】 本文根据文献对薄钢板试样的实验分析,提出一个平面应力的弹塑性断裂模型——带状颈缩区模型.将Dugdale模型推广到弹塑性变形场情形.用弹塑性全量理论和增量理论的有限元法,分别计算了具有中心裂纹的薄宽板受均匀拉仲情形的裂纹张开位移、应力应变场.结果表明Burdekin设计曲线在一定条件下才是安全的,本文计算的裂纹张开位移与一些实验测量结果符合良好.
【Abstract】 In the present paper, a plane stress elastic-plastic fracture model-the strip necking zone model is proposed on the basis of the experimental results given by Schaeffer, Liu and Ke. It may be regarded as an extension of Dugdale Model. With this model, the calculations by finite element method incorporating plastic deformation theory or plastic incremental theory are both carried out to determine the crack opening displacement. The calculated results are compared with the Burdekin’s design curve and some published experimental results. The analysis indicates that the nominal strains vary with different gauge lengths. Therefore Burdekin design curve is on the safe side when the nominal strains are taken at some definite gauge lengths. The calculated values of the crack opening displacements in this paper are in good agreement with the published experimental results.
- 【文献出处】 固体力学学报 ,Acta Mechanica Solida Sinica , 编辑部邮箱 ,1980年02期
- 【被引频次】11
- 【下载频次】217