论文部分内容阅读
离散的Kirchhoff理论三角形单元对一般壳体结构的分析是十分可靠的和有效的。本文将推广此种单元去分析壳体结构的大位移大应变弹塑性响应。校正的拉格朗日增量的Jaumann应力公式和塑性损伤相耦合的塑性流动本构关系已应用于列式中。在对带环向裂纹和环向槽受四点弯曲载荷的圆柱壳的分析中,显示了和实验结果符合一致,且说明了与塑性损伤相藕合的大应变弹塑性分析无论在宏观水平上或微观水平上都能显示比断裂力学方法更符合实际的结果。
The discrete Kirchhoff theory triangular elements are very reliable and effective for the analysis of general shell structures. This paper will promote this unit to analyze the large-displacement and large-strain elasto-plastic response of the shell structure. The corrected Lagrange incremental Jaumann stress formula and plastic damage coupled plastic flow constitutive relation have been applied in the formula. In the analysis of cylindrical shells subjected to four-point bending loads with circumferential cracks and circumferential grooves, it is shown that the results agree well with the experimental results and shows that large strain elasto-plastic analysis coupled with plastic damage is at macroscopic level. At the microscopic level, more realistic results than the fracture mechanics method can be displayed.