对具有拉伸和压缩不同模量的材料,建立了平面静力问题的参变量变分原理。基于参变量变分原理,并结合有限元方法,将拉压不同模量平面问题转化为互补问题求解。经典的Lemke算法被用于求解此互补问题。该方法避免了应力状态的假设和刚度矩阵的更新,算法稳定,且收敛速度快。 For materials with different moduli of tension and compression, a parametric variational principle is established for the problem of plane static forces. Based on the variational principle of parametric variables and the finite element method, the planar problems of different compressive and tensile strengths are transformed into the complementary problems. The classical Lemke algorithm is used to solve this complementary problem. This method avoids the assumption of stress state and the update of stiffness matrix, and the algorithm is stable and converges fast.