检索结果-内蒙古大学图书馆

Wide-range weight functions and stress intensity factors for arbitrarily shaped crack geometries using complex Taylor series expansion method

引用

ENGINEERING FRACTURE MECHANICS 2015年 138卷 215-232页

作者： Jing, Z. Wu, X. R. AVIC Beijing Inst Aeronaut Mat Beijing 100095 Peoples R China

The recently developed complex Taylor series expansion method for computing weight functions (WCTSE) of arbitrary 2D crack geometry is further studied. Improvements on several aspects are made to raise solution accuracy. Wide-range weight functions are determined for four different crack geometries. Methods for accuracy assessment using the Green's function or severe load conditions are proposed. The WCTSE numerical weight function and the conventional analytical weight function approaches are shown to be complementary. It is envisaged that combination of the two approaches will lead to more widespread applications of the weight function methods for fracture and crack growth analyses. (C) 2015 Elsevier Ltd. All rights reserved.

关键词： Weight functions complex Taylor series expansion complex variable finite element Stress intensity factors Green's function

来源：评论

学校读者我要写书评

暂无评论

2D weight function development using a complex Taylor series expansion method

引用

ENGINEERING FRACTURE MECHANICS 2012年 86卷 23-37页

作者： Wagner, David Millwater, Harry Univ Texas San Antonio Dept Mech Engn San Antonio TX 78249 USA

Weight functions are a critical component of a damage tolerance fracture control plan in that they allow the stress intensity factor to be computed quickly from the stress along the uncracked crack line. The traditional method to compute weight functions is to use several (2-4) reference stress solutions or auxiliary conditions to develop the coefficients in a series solution. While this method has been shown to provide good results in many scenarios, the truncated series provides a source of error that is difficult to quantify and the method requires multiple high-quality reference solutions or other auxiliary information. In contrast, the WCTSE method presented here, provides a method to accurately and efficiently develop the weight function for an arbitrary geometry and loading scenario from a single complex variable finite element solution without other reference solutions or auxiliary information. The complex Taylor series expansion method is used within the finite element formulation to obtain the derivatives of the crack opening displacements with respect to crack length directly from the finite element analysis. These derivatives allow the direct evaluation of the weight function. The method requires a small perturbation of the crack length along the imaginary axis;the real coordinate mesh is unaltered. Since the real coordinate mesh is unaltered, standard finite element meshes and meshing algorithms can be used. Given that the error in the weight function is controlled by the accuracy of the mesh, typical convergence tests can be used to obtain high confidence in the weight functions. Several numerical examples are computed and compared to other well known published weight function solutions or finite element (J integral) or boundary element solutions. (c) 2012 Elsevier Ltd. All rights reserved.

关键词： Weight functions Stress intensity factor complex variable sensitivity methods complex variable finite element

来源：评论

学校读者我要写书评

暂无评论

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案：

请选择收藏分类：

通借通还

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：