用二重网格法求解平面弹塑性问题

本文采用二重网格法求解弹性或弹塑性有限元中的非线性代数方程组.在二重网格过程中,分别采用了线性插值算子、逐点投影算子和Gauss-seidel迭代法,并通过计算不平衡力系数ω,从而提高了二重网格法的收敛速度.在非线性分析中,采用"修正的牛顿迭代法"和"二重网格法"的"综合迭代法"求解非线性方程组.根据塑性增量理论、D. C. Druckcer准则以及"综合迭代法"的有关公式,编制了一个平面非线性有限元分析程序MPDNON,给出了弹性和弹塑性问题的算例.计算结果表明,综合迭代法是求解弹塑性向题的一种有效的计算方法.

箱梁腹板平面力学问题损伤分析

在理论化日益完善的今天将损伤力学理论应用于桥梁中进行探索性尝试．通过将箱梁腹板空间结构的开裂简化为平面问题进行损伤计算．考虑箱梁腹板双轴应力状态的特点，计入不同损伤状态下材料性能的变化，有效地进行箱梁腹板的损伤数值分析。

木寨岭隧道软弱围岩段施工方法及数值分析

以木寨岭隧道软弱围岩段的施工为例 ,详细介绍了在I类软弱围岩条件下的隧道设计和施工技术特点 ,并对隧道采用Mohr -Coulomb等面积圆屈服准则进行了平面弹塑性有限元数值分析 ,结果得出在I类软弱围岩条件下隧道采用双侧壁导坑法施工时底板仰拱与拱周支护随掌子面开挖同时支护形成封闭的承载圈 。

支护参数对复合支护基坑变形的影响分析

复合支护技术作为一种有效支护浅基坑(H≤7 m)的围护结构得到了广泛运用。在工程实践的基础上,运用平面弹塑性有限元法,从不同的支护方法及支护参数分析讨论了对变形的影响,初步得出基坑的侧向变形特性。对于采用复合支护的基坑,它的最大位移发生在基底附近,这与采用土钉支护的基坑不同。对于复合支护的基坑,采用适当的坡度可有效地提高支护效果。

Analysis of plane strain bending of a strain hardening curved beam based on unified yield criterion

The analysis of plane strain elastic-plastic bending of a linear strain hardening curved beam with a narrow rectangular cross section subjected to couples at its end is conducted based on a unified yield criterion. The solutions for the mechanical properties of plane strain bending are derived, which are adapted for various kinds of non-strength differential materials and can be degenerated to those based on the Tresca, von Mises, and twin-shear yield criteria. The dependences of the two critical bending moments, the radii of the interfaces between the elastic and plastic regions and the radial displacements of the points at the symmetrical plane on different yield criteria and Poisson’s ratios are discussed. The results show that the influences of different yield criteria and Poisson’s ratio on the two critical bending moments, the radii of the interfaces between the elastic and plastic regions and the radial displacements of the points at the symmetrical plane of the curved beam are significant. Once the value of bis obtained by experiments, the yield criterion and the corresponding solution for the materials of interest are then determined.

Improved slope safety analysis by new Druker-Prager type criterion

Based on Mohr-Coulomb （M-C） criterion, the parameters of Druker-Prager （D-P） criterion for geomaterial were determined under non-associated flow rule, and thus a new D-P type criterion was presented. Two assumptions were employed during the derivation： 1） principal strains by M-C model and D-P model are equal, and 2） the material is under plane strain condition. Based on the analysis of the surface on rt plane, it is found that the proposed D-P type criterion is better than the D-P criterion with M-C circumscribed circle or M-C inscribed circle, and is applicable for stress Lode angle less than zero. By comparing the predicted results with the test data of sand under plane strain condition and other D-P criteria, the proposed criterion is verified and agrees well with the test data, which is further proved to be better than other D--P type criteria in certain range of Lode angle. The criterion was compiled into a finite difference package FLAC3D by user-subroutine, and was used to analyze the stability of a slope by strength reduction method. The predicted slope safety factor from the proposed criterion agrees well with that by Spencer method, and it is more accurate than that from classic D-P criteria.

Line field analysis and complex variable method for solving elastic-plastic fields around an anti-plane elliptic hole

A new approach is proposed to solve the elastic-plastic fields near the major-axis line of an elliptical hole. The complex variable method is used to determine the elastic fields near the major-axis line of the elliptical hole. Then, by using the line field analysis method, the exact and new solutions of the stresses, strains in the plastic zone, the size of the plastic region and the unit normal vector of the elastic-plastic boundary near the major-axis line of the elliptical hole are obtained for an anti-plane elliptical hole in a perfectly elastic-plastic solid. The usual small scale yielding assumptions are not adopted in the analysis. The present method is simple, easy and efficient. The influences of applied mechanical loading on the size of plastic zone are discussed.