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| 无网格局部Petrov-Galerkin方法在弹塑性断裂力学问题中的应用 | |
| 引用本文： | 刘凯远,龙述尧,尚守平,涂传林.无网格局部Petrov-Galerkin方法在弹塑性断裂力学问题中的应用[J].固体力学学报,2009,30(1). |
| 作者姓名： | 刘凯远 龙述尧 尚守平 涂传林 |
| 作者单位： | 1. 湖南大学力学与航天航空学院,长沙,410082;中南勘测设计研究院,长沙,410082 2. 湖南大学力学与航天航空学院,长沙,410082 3. 湖南大学土木工程学院,长沙,410082 4. 中南勘测设计研究院,长沙,410082 |
| 摘 要： | 采用无网格局部Petroy-Galerkin方法来分析弹塑性断裂力学问题.这种无网格方法采用移动最小二乘法(MLS)来构造近似试函数和采用Heaviside函数作为加权残值法中的权函数,由于近似函数不满足KroneckerDelta条件,因此采用直接插值法来施加本质边界条件.如果不考虑体力,所形成的整体刚度矩阵只包含局部边界积分,而不包含局部域积分和奇异积分.采用增量Newton-Raphson迭代法来求解弹塑性增量形式的局部Petrov-Galerkin方程.数值算例结果表明,该文方法对于弹塑性断裂力学问题的求解是可行的和有效的,并且所得到的结果具有较好的精度. |
| 关 键 词： | 无网格局部Petroy-Galerkin方法 直接插值法 增量Newton-Raphson迭代法 |
AN APPLICATION OF THE MESHLESS LOCAL PETROV-GALERKIN METHOD IN THE ELASTO-PLASTIC FRACTURE PROBLEM |
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| Kaiyuan Liu,Shuyao Long,Shouping Shang,Chuanlin Tu.AN APPLICATION OF THE MESHLESS LOCAL PETROV-GALERKIN METHOD IN THE ELASTO-PLASTIC FRACTURE PROBLEM[J].Acta Mechnica Solida Sinica,2009,30(1). | |
| Authors: | Kaiyuan Liu Shuyao Long Shouping Shang Chuanlin Tu |
| Institution: | 1 College of civil Engineering;Hunan University;Changsha;410082;2 College of Mechanics andAerospace Engineering;410082;3 M id-south Design & Research Institute;410082 |
| Abstract: | A meshless local Petrov-Galerkin method for the analysis of the elasto-plastic fracture problem is presented. The meshless method uses the moving least squares (MLS) to approximate the field variables, and uses the Heaviside function as a test function of the weighted residual method. Because the MLS approximation is without the Kronecker Delta function property, a direct interpolation method is adopted to impose essential boundary conditions. The method is not involved any sub-domain integrals and singular... |
| Keywords: | MLS |
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