混凝土温度应力超过相应龄期的抗拉强度一半时,混凝土的徐变变形不再与应力呈线性关系。采用一个混凝土非线性徐变模型来进行混凝土的温度应力计算,并给出了相应的算法。同时,吸取无网格方法在裂缝扩展模拟方面的优势,采用无网格方法对混凝土的温度裂缝过程进行了仿真计算。数值算例计算结果表明,所编制的无网格法程序具有较好的收敛性和可靠性,能够有效地模拟混凝土块在温度应力作用下的开裂发展过程,考虑混凝土非线性徐变效应后,在开裂时刻混凝土急剧增加的非线性徐变变形缓和了缝端的温度拉应力,使得相同龄期混凝土的裂缝深度和扩展速率要比只考虑混凝土线性徐变要小一些。
A nonlinear relation between concrete creep and its thermal stress appears when the thermal stress is more than the half tensile strength of corresponding aged concrete. A nonlinear creep model of concrete is adopted to simulate its thermal stress; and a numerical algorithm is also presented. With the advantage about temperature crack propagation,element-free Galerkin method(EFGM) is adopted to simulate temperature crack propagation. A numerical example shows that EFGM is of good accuracy and reliability; and crack depth and extension speed of concrete after considering nonlinear creep effect are less than those only considering linear creep because of that the rapid increased nonlinear creep at the cracking moment relaxed thermal stress at crack tip.