A high order local approximation free from linear dependency with quadrilateral mesh as mathematical cover and applications to linear elastic fractures
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- 作者：Dongdong Xua ; b ; Yongtao Yangb ; Hong Zhengc ; hzheng@whrsm.ac.cn" class="auth_mail" title="E-mail the corresponding author ; Aiqing Wua
- 关键词：Partition of unity based methods ; Numerical manifold method ; Local approximation ; Linear dependency issue
- 刊名：Computers & Structures
- 出版年：2017
- 出版时间：1 January 2017
- 年：2017
- 卷：178
- 期：Complete
- 页码：1-16
- 全文大小：1816 K
文摘
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A high order local approximation scheme is developed in the context of the numerical manifold method.
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The stresses derived from the scheme are continuous at all nodes, causing stress polish unnecessary.
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The scheme owns high precision but overcomes the linear dependency issue.