共查询到20条相似文献,搜索用时 62 毫秒
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本文通过对弹塑性幂硬化双材料界面裂纹尖端应力场的高阶渐近分析,获得了裂纹面无磨擦接触的裂尖一阶和二阶应力场解答,位移场在界面处呈现交叉匹配是本文解答的一个重要特点,最后结果表明,当界面上下材料的硬化指数之差大于1时(即n1-n2>1时),二阶应力场角分布为一常数解;而当0<n1-n2≤1时,二阶应力场角分布函数则随θ变化而变化。 相似文献
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两圆柱体结合面的接触热导分形模型研究 总被引:1,自引:0,他引:1
基于三维分形理论,在考虑微凸体的弹性变形、弹塑性变形和塑性变形的基础上,建立了两圆柱体结合面接触热导分形模型。通过数值仿真,分析了分形维数,分形尺度参数、圆柱体曲率半径和接触类型对接触热导的影响。研究结果表明:接触热导随着分形维数的增大而增大,随着分形尺度参数的增大而减小;相同参数下,内接触比外接触的接触热导要大;此外,当固定其中一个圆柱体的曲率半径时,随着另一个圆柱体曲率半径的增大,接触热导增大。该模型为开展齿轮等曲面接触热导的研究提供了理论基础。 相似文献
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自适应无网格法在生物涂层接触问题中的应用 总被引:1,自引:0,他引:1
自适应无网格法是针对有限元法无法求解或者不易求解的复杂问题,利用无网格法节点排布灵活、易于增删节点、便于自适应分析等优点发展起来的. 在对自适应无网格法理论基础和发展进行总结基础上,采用基于应变能梯度的自适应无网格—— 有限元耦合方法,对等离子喷涂制备的HA 生物涂层材料的无摩擦接触问题进行分析,对制备的两种不同厚度的生物涂层材料进行求解,分别给出了von Mises 应力分布云图. 结果表明,自适应无网格法能较好地应用于生物涂层接触问题中. 相似文献
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结构振动分析中的无网格方法 总被引:7,自引:1,他引:7
无网格法采用移动最小二乘法构造位移函数,采用罚方法满足本征边界条件,对弹性体的振动问题进行了分析。首先,对权函数中的参数进行了讨论并优化,给出了参数最优值的确定方法;在此基础上对不同边界条件下梁和板的模态进行了分析;最后计算了受突加荷载作用的简支梁以及具有初位移的筒支方板的动力响应。计算结果表明该方法在动力问题的分析中有较高的精度。 相似文献
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In this paper, an adaptive refinement strategy based on a node‐moving technique is proposed and used for the efficient solution of the steady‐state incompressible Navier–Stokes equations. The value of a least squares functional of the residual of the governing differential equation and its boundary conditions at nodal points is regarded as a measure of error and used to predict the areas of poor solutions. A node‐moving technique is then used to move the nodal points to the zones of higher numerical errors. The problem is then resolved on the refined distribution of nodes for higher accuracy. A spring analogy is used for the node‐moving methodology in which nodal points are connected to their neighbors by virtual springs. The stiffness of each spring is assumed to be proportional to the errors of its two end points and its initial length. The new positions of the nodal points are found such that the spring system attains its equilibrium state. Some numerical examples are used to illustrate the ability of the proposed scheme for the adaptive solution of the steady‐state incompressible Navier–Stokes equations. The results demonstrate a considerable improvement of the results with a reasonable computational effort by using the proposed adaptive strategy. Copyright © 2011 John Wiley & Sons, Ltd. 相似文献
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无网格法研究进展及其应用 总被引:44,自引:8,他引:44
从加权残量法的角度出发,系统地总结了现有各种无网格法的基本格式,阐明了无网格法的特点,论述了无网格法的研究进展,给出了无网格法在碰撞、动态裂纹扩展、金属加工成型、流体力学以及其它领域中的应用。 相似文献
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Meshless methods are new approaches for solving partial differential equations. The main characteristic of all these methods is that they do not require the traditional mesh to construct a numerical formulation. They require node generation instead of mesh generation. In other words, there is no pre‐specified connectivity or relationships among the nodes. This characteristic make these methods powerful. For example, an adaptive process which requires high computational effort in mesh‐dependent methods can be very economically solved with meshless methods. In this paper, a posteriori error estimate and adaptive refinement strategy is developed in conjunction with the collocated discrete least‐squares (CDLS) meshless method. For this, an error estimate is first developed for a CDLS meshless method. The proposed error estimator is shown to be naturally related to the least‐squares functional, providing a suitable posterior measure of the error in the solution. A mesh moving strategy is then used to displace the nodal points such that the errors are evenly distributed in the solution domain. Efficiency and effectiveness of the proposed error estimator and adaptive refinement process are tested against two hyperbolic benchmark problems, one with shocked and the other with low gradient smooth solutions. These experiments show that the proposed adaptive process is capable of producing stable and accurate results for the difficult problems considered. Copyright © 2007 John Wiley & Sons, Ltd. 相似文献
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基于核重构思想的配点型无网格方法的研究--一维问题 总被引:1,自引:0,他引:1
无网格方法按其离散原理可分为Galerkin型、配点型等。其中Galerkin型无网格方法的实施需要背景网格,不属于真正的无网格法;配点型无网格方法的实施不需要背景网格,是真正的无网格法。本文首先介绍了重构核点法的基本原理,然后基于核重构思想,与配点法相结合,以一维问题为例,研究了配点型无网格方法,对该方法构造过程中的近似函数及其导数的计算、修正函数的计算及方法的实现等问题进行了探讨。并结合若干典型算例,检验了其计算精度与收敛姓。 相似文献
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径向基函数插值是一种新型的无网格插值方法,具有形式简单、空间维数无关等优点.这种插值方法具有δ函数的性质,易于满足本质边界条件,且插值函数的导数求解过程比通常的移动最小二乘插值(MLS)简单,精度也较高.另一方面,通过加权最小二乘法离散控制方程不需要积分,具有效率高,精度高等优点.本文试图将两者的优点结合起来,发展一种... 相似文献
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Research on the companion solution for a thin plate in the meshless local boundary integral equation method 总被引:1,自引:1,他引:0
The meshless local boundary integral equation method is a currently developed numerical method, which combines the advantageous features of Galerkin finite element method ( GFEM ), boundary element method (BEM) and element free Galerkin method (EFGM), and is a truly meshless method possessing wide prospects in engineeringapplications. The companion solution and all the other formulas required in the meshless local boundary integral equation for a thin plate were presented, in order to make this method apply to solve the thin plate problem. 相似文献