共查询到17条相似文献,搜索用时 281 毫秒
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内压作用下弯管的塑性极限载荷分析 总被引:1,自引:0,他引:1
在变壁厚椭圆截面弯管应力分析的基础上,运用Tresca 和von Mises 屈服准则,对承受内压作用的钢制弯管进行了极限载荷分析,推导出考虑弯管截面壁厚变化和弯管椭圆度的变壁厚椭圆弯管的塑性极限压力计算式. 弯管的极限载荷随着弯管的壁厚和弯管的椭圆度的不同而变化. 相似文献
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自然单元法是一种以自然邻近插值为试函数的新兴无网格数值方法,其形函数的计算不涉及矩阵求逆,也不需要任何人为参数。为了充分发挥自然单元法的优势,本文基于极限分析上限定理建立了轴对称结构极限上限分析的整套求解算法。轴对称结构的位移场由自然邻近插值构造,并且采用罚函数法处理材料的不可压条件。为了消除目标函数非光滑所引起的数值困难,采用逐步识别刚性区和塑性区,并对两者用不同方法进行处理。数值算例结果表明,本文提出的轴对称结构极限上限分析方法是行之有效的。 相似文献
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多孔材料塑性极限载荷及其破坏模式分析 总被引:4,自引:1,他引:4
运用塑性力学中的机动极限分析理论,研究韧性基体多孔材料的塑性极限承载能力和破坏模式。以多孔材料的细观结构为研究对象,将细观力学中的均匀化理论引入到塑性极限分析中,并结合有限元技术,建立细观结构极限载荷的一般计算格式,并提出相应的求解算法。数值算例表明:细观孔洞对材料的宏观强度影响明显;在单向拉伸作用下,孔洞呈现膨胀扩大规律;多孔材料破坏源于基体塑性区的贯通。 相似文献
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本文根据塑性流动理论的基本公式,由隐式积分导出了与路径无关的变量更新算法和一致切线模量。采用单元广义应力应变直接离散塑性流动定律,构造了杂交应力单元一致切线刚度矩阵的显式表达式,编制了结构有限元程序SAFE,数值算例表明:本文的计算方法和计算程序是正确可靠的,可用于弹塑性板壳结构的非线性分析,计算结果屈曲临界载荷和极限承载能力。 相似文献
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本文根据塑性力学原理对碰撞受损圆柱壳的轴压极限载荷进行了理论分析,提出了一种全塑性模型解法,并采用杂交浅曲梁单元对典型的受损圆管进行了数值研究。 相似文献
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Upper-bound limit analysis based on the natural element method 总被引:1,自引:0,他引:1
The natural element method (NEM) is a newly-developed numerical method based on Voronoi diagram and Delaunay triangulation of scattered points, which adopts natural neighbour interpolation to construct trial functions in the framework of Galerkin method. Owing to its distinctive advantages, the NEM is used widely in many problems of computational mechanics. Utilizing the NEM, this paper deals with numerical limit analysis of structures made up of perfectly rigid-plastic material. According to kinematic theorem of plastic limit analysis, a mathematical programming natural element formulation is established for determining the upper bound multiplier of plane problems, and a direct iteration algorithm is proposed accordingly to solve it. In this algorithm, the plastic incompressibility condition is handled by two different treatments, and the nonlinearity and nonsmoothness of the goal function are overcome by distinguishing the rigid zones from the plastic zones at each iteration. The procedure implementation of iterative process is quite simple and effective because each iteration is equivalent to solving an associated elastic problem. The obtained limit load multiplier is proved to monotonically converge to the upper bound of true solution. Several benchmark examples are investigated to validate the significant performance of the NEM in the application field of limit analysis. 相似文献
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极限下限分析的正交基无单元Galerkin法 总被引:1,自引:0,他引:1
基于极限分析的下限定理,建立了用正交基无单元Galerkin法进行理想弹塑性结构极
限分析的整套求解算法.下限分析所需的虚拟弹性应力场可由正交基无单元Galerkin法直接
得到,所需的自平衡应力场由一组带有待定系数的自平衡应力场基矢量的线性组合进行模
拟.这些自平衡应力场基矢量可由弹塑性增量分析中的平衡迭代得到.通过对自平衡应力场
子空间的不断修正,整个问题的求解将化为一系列非线性数学规划子问题,并通过复合形法
进行求解.算例表明该方法有效地克服了维数障碍问题,使计算效率得到了充分的提高,是
切实可行的. 相似文献
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ChenGang LiuYinghua XuBingye 《Acta Mechanica Solida Sinica》2003,16(2):102-109
The integrity assessment of defective pipelines represents a practically important task of structural analysis and design in various technological areas, such as oil and gas industry, power plant engineering and chemical factories. An iterative algorithm is presented for the kinematic limit analysis of 3-D rigid-perfectly plastic bodies. A numerical path scheme for radial loading is adopted to deal with complex multi-loading systems. The numerical procedure has been applied to carry out the plastic collapse analysis of pipelines with part-through slot under internal pressure, bending moment and axial force. The effects of various shapes and sizes of part-through slots on the collapse loads of pipelines are systematically investigated and evaluated. Some typical failure modes corresponding to different configurations of slots and loading forms are studied. 相似文献
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基于自然单元法的极限上限分析 总被引:2,自引:0,他引:2
自然单元法是一种基于离散点集的Voronoi图和Delaunay三角化几何信息,以自然邻近插值为试函数的新型数值方法.相对于一般无网格法中常采用的移动最小二乘近似而言,自然邻近插值不涉及到复杂的矩阵求逆运算,更不需要任何人为的参数,可以提高计算效率.采用该方法构造的形函数满足Delta函数的性质,可以像有限元一样准确地施加边界条件,可以方便处理场函数及其导数的不连续性的问题.论文将自然单元法应用到极限上限分析中,编制了相应的计算程序,通过极限分析的几个经典算例进行了验证,同时采用类似于分片应力磨平的方式,编制相应的磨平程序,由计算点上的塑性耗散功外推得到了节点上的塑性耗散功的值,从而画出了极限状态下结构的塑性耗散功的分布云图.计算结果表明采用自然单元法求解极限上限分析具有稳定性好,精度高,收敛快等优点. 相似文献
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《International Journal of Plasticity》2006,22(10):1962-1987
Employing repeating unit cell (RUC) to represent the microstructure of periodic composite materials, this paper develops a numerical technique to calculate the plastic limit loads and failure modes of composites by means of homogenization technique and limit analysis in conjunction with the displacement-based finite element method. With the aid of homogenization theory, the classical kinematic limit theorem is generalized to incorporate the microstructure of composites. Using an associated flow rule, the plastic dissipation power for an ellipsoid yield criterion is expressed in terms of the kinematically admissible velocity. Based on nonlinear mathematical programming techniques, the finite element modelling of kinematic limit analysis is then developed as a nonlinear mathematical programming problem subject to only a small number of equality constraints. The objective function corresponds to the plastic dissipation power which is to be minimized and an upper bound to the limit load of a composite is then obtained. The nonlinear formulation has a very small number of constraints and requires much less computational effort than a linear formulation. An effective, direct iterative algorithm is proposed to solve the resulting nonlinear programming problem. The effectiveness and efficiency of the proposed method have been validated by several numerical examples. The proposed method can provide theoretical foundation and serve as a powerful numerical tool for the engineering design of composite materials. 相似文献