基于无单元伽辽金法的水工结构温度应力及温度裂纹扩展计算

Simulation of Thermal Stress and Crack propagation in Hydraulic Structures Based on EFGM

水工混凝土结构的温度应力及裂纹扩展计算是一大难点。用节点来离散域的无单元伽辽金法由于不需要网格,特别适合模拟裂纹扩展问题。文中主要研究应用无单元法来计算温度应力以及温度裂纹扩展,提出了基于衍射法的折线不连续面模拟方法,并介绍了计算裂纹应力强度因子的围线积分法等,编制了温度裂纹及其扩展计算的VC++程序。通过典型气温骤降温度应力、单边直裂纹和斜裂纹实例对程序进行了验证,算例结果表明其具有较好的精度和可靠性。然后以底部约束混凝土块为例介绍了裂纹扩展的模拟过程及结果。最后对无单元法计算裂纹扩展的一些问题和难题进行了总结。

The calculation of thermal stress and thermal crack propagation remains a tough problem for hydraulic structure engineering.Due to its node discretization and no-remeshing property,the EFGM(Element free Galerkin Method) is very suitable for simulating cracking problems.Based on the EFGM,the approach for calculating the thermal stress and thermal crack propagation is studied,and a diffraction method is presented to simulate the multi-line discontinuity as well as the contour integral method for SIFs(Stress I...