共查询到16条相似文献,搜索用时 171 毫秒
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本文根据广义协调的思想,在平面应力矩形单元双线性协调位移场中,引入附加广义泡状位移场,构造出一种具有平面内旋转自由度的矩形膜单元,它满足广义协调条件。数值计算结果表明,这种单元有很高的计算精度,而且计算量少,是一种能收敛于精确解的单元。 相似文献
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基于四边形面积坐标和广义协调原理,通过投影技术,并引入0~1区间上可连续变化的罚因子,构造了一款具有统一格式的四结点平面参变量单元AQGβ6-I。通过4组数值算例测试了单元性能,并将计算结果与许多著名单元对比表明:时,单元退化为原始格式,具有原始单元的全部优良性能;时,单元可以精确通过强分片检验,此时性能与许多著名单元基本相当,显著优于传统平面四结点等参单元(Q4);时,单元兼具较好的抗网格畸变能力和收敛速度。单元的构造方式对缓解一个有限元难题(通过常分片检验的四结点单元在弯曲问题中表现欠佳,而在弯曲问题中表现非常好的单元无法通过强分片检验)提供了有益思路。 相似文献
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内参型附加非协调位移基本项的推导和应用 总被引:4,自引:3,他引:1
在协调元位移模式基础上附加内参项是构造非协调元的一种常用方法。目前一般是先假设非协调位移模式(不能保证其通过小片试验),然后按照一定的方法进行修改,从而形成能够保证收敛的非协调位移场,可是构造过程往往较复杂。本文从广义协调条件出发,首次推导了平面问题内参任意阶次附加非协调位移基本项通用公式,形式简单,便于工程人员直接应用于工程实践。根据通用公式,本文以Q8协调元为基础,发展了一个新的非协调元,数值试验表明它能够保证收敛,有较高精度,抗畸变能力强,从而证明了本文方法的可行性。 相似文献
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几何非线性广义协调四边形板单元 总被引:4,自引:2,他引:2
本文将广义协调四边形板单元LGC-Q12及LSL-Q12的弯曲位移模式引入板的大挠度分析中,构造了几何非线性广义协调四边形板单元,并分别对固支圆板、固支椭圆板及固支斜板进行了大挠度分析 相似文献
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S. Rajendran B. R. Zhang K. M. Liew 《International journal for numerical methods in engineering》2010,82(12):1574-1608
The recently published ‘FE–Meshfree’ QUAD4 element is extended to geometrical non‐linear analysis. The shape functions for this element are obtained by combining meshfree and finite element shape functions. The concept of partition of unity (PU) is employed for the purpose. The new shape functions inherit their higher order completeness properties from the meshfree shape functions and the mesh‐distortion tolerant compatibility properties from the finite element (FE) shape functions. Updated Lagrangian formulation is adopted for the non‐linear solution. Several numerical example problems are solved and the performance of the element is compared with that of the well‐known Q4, QM6 and Q8 elements. The results show that, for regular meshes, the performance of the element is comparable to that of QM6 and Q8 elements, and superior to that of Q4 element. For distorted meshes, the present element has better mesh‐distortion tolerance than Q4, QM6 and Q8 elements. Copyright © 2009 John Wiley & Sons, Ltd. 相似文献
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4‐node unsymmetric quadrilateral membrane element with drilling DOFs insensitive to severe mesh‐distortion 下载免费PDF全文
Yan Shang Wengen Ouyang 《International journal for numerical methods in engineering》2018,113(10):1589-1606
The unsymmetric finite element method is a promising technique to produce distortion‐immune finite elements. In this work, a simple but robust 4‐node 12‐DOF unsymmetric quadrilateral membrane element is formulated. The test function of this new element is determined by a concise isoparametric‐based displacement field that is enriched by the Allman‐type drilling degrees of freedom. Meanwhile, a rational stress field, instead of the displacement one in the original unsymmetric formulation, is directly adopted to be the element's trial function. This stress field is obtained based on the analytical solutions of the plane stress/strain problem and the quasi‐conforming technique. Thus, it can a priori satisfy related governing equations. Numerical tests show that the presented new unsymmetric element, named as US‐Q4θ, exhibits excellent capabilities in predicting results of both displacement and stress, in most cases, superior to other existing 4‐node element models. In particular, it can still work very well in severely distorted meshes even when the element shape deteriorates into concave quadrangle or degenerated triangle. 相似文献
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R. Piltner R. L. Taylor 《International journal for numerical methods in engineering》1999,44(5):615-639
In a previous paper a modified Hu–Washizu variational formulation has been used to derive an accurate four node plane strain/stress finite element denoted QE2. For the mixed element QE2 two enhanced strain terms are used and the assumed stresses satisfy the equilibrium equations a priori for the linear elastic case. In this paper an alternative approach is discussed. The new formulation leads to the same accuracy for linear elastic problems as the QE2 element; however it turns out to be more efficient in numerical simulations, especially for large deformation problems. Using orthogonal stress and strain functions we derive B̄ functions which avoid numerical inversion of matrices. The B̄ ‐strain matrix is sparse and has the same structure as the strain matrix B obtained from a compatible displacement field. The implementation of the derived mixed element is basically the same as the one for a compatible displacement element. The only difference is that we have to compute a B̄ ‐strain matrix instead of the standard B ‐matrix. Accordingly, existing subroutines for a compatible displacement element can be easily changed to obtain the mixed‐enhanced finite element which yields a higher accuracy than the Q4 and QM6 elements. Copyright © 1999 John Wiley & Sons, Ltd. 相似文献
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T. L. Chang C.-L. Lee A. J. Carr R. P. Dhakal S. Pampanin 《International journal for numerical methods in engineering》2019,119(7):639-660
By utilizing a modified Hu-Washizu principle, a new mixed variational framework and a corresponding high-performing four-node membrane element with drilling degrees of freedom, named as GCMQ element, are proposed. In this work, the generalized conforming concept, which is originally proposed within a displacement-based formulation, is extended to a mixed formulation. The new element is able to handle higher-order displacement, strain, and stress distributions. The interpolations are complete up to second order for stress and strain. The enhanced strain field is optimized so that a complete cubic displacement field can be represented. For numerical integration, a five-point scheme is proposed to minimize computational cost. Compared to other four-node elements in existing literature, numerical examples show that the proposed element has a better performance regarding predictions of both displacements and internal forces, particularly with coarse meshes. The new element is also free from shear locking and volumetric locking. Due to the nature of the mixed framework, GCMQ can be directly used in elastoplastic applications. 相似文献