A High Order Continuation Method with a Weighted Least Squares Approach to Analysis Cracked Structures
2024 4th International Conference on Innovative Research in Applied Science, Engineering and Technology (IRASET)(2024)
Abstract
In this study, we develop a method grounded in the Weighted Least Squares (WLS) approach to address two-dimensional nonlinear elasticity problems, focusing specifically on the analysis of cracked structures. We construct shape functions within a local support domain using the WLS approximation, which, when coupled with a High-Order Continuation method, allows for a strong problem formulation that circumvents the need for numerical integration and mesh generation. Moreover, we employ the J-integral to evaluate the singularity at the crack front. The proposed meshfree method's efficiency and accuracy is rigorously evaluated through numerical testing and compared against benchmark solutions.
MoreTranslated text
Key words
Weighted Least Squares Method,2D nonlinear elasticity,shape functions,local support domain,high order continuation,Moving Least Squares method,J-integral
AI Read Science
Must-Reading Tree
Example
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
Generate MRT to find the research sequence of this paper
Chat Paper
Summary is being generated by the instructions you defined