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沿裂缝可能开展路径设置接触点对,将求解接触问题的有限元混合自由度法进行扩展,以实现混凝土断裂力学虚拟裂缝模型的数值模拟。把作用在结构上的力系分解为外力和接触缝面上的接触力,以结构的位移为基本未知量,而以缝面局部坐标系下的结点接触力为迭代变量,将非线性接触迭代收缩在可能接触缝面上进行,提高了计算效率。计算过程中缝面接触力和开口位移可以显式地求出,故可方便地引入各种类型的混凝土软化本构关系,实现混凝土断裂力学虚拟裂缝模型的数值模拟。首先给出了有限元混合自由度法求解接触问题的基本思路,然后引入混凝土软化本构关系,最后以数值算例说明了该文方法的正确性和有效性。
The contact pairs may be set along the crack path, and the finite element method for solving the contact problem is extended to realize the numerical simulation of the fracture model of concrete fracture mechanics. The force acting on the structure is decomposed into the contact force of the external force and the contact seam, the displacement of the structure is regarded as the basic unknowns, and the contact force of the node in the local coordinate system of the seam is used as the iterative variable. The nonlinear contact Inertial contraction in the contact surface may be carried out to improve the computational efficiency. In the process of calculation, the contact force and displacement can be calculated explicitly, so various kinds of concrete softening constitutive relations can be easily introduced to realize the numerical simulation of the fracture model of concrete fracture mechanics. First, the basic idea of solving the contact problem by the mixed finite element method is given. Then, the softening constitutive relation of concrete is introduced. Finally, a numerical example is given to illustrate the correctness and effectiveness of the proposed method.