The Improved Interpolating Complex Variable Element-Free Galerkin Method for Two-Dimensional Elastic Problems

An improved interpolating complex variable element-frees Galerkin (IICVEFG) method for the two-dimensional elastic problems is developed. This method is based on the improved interpolating complex variable moving least-squares (IICVMLS) method and the integral form of the elastic problems. In the II...

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Bibliographic Details
Published in:Acta mechanica solida Sinica Vol. 35; no. 2; pp. 328 - 343
Main Authors: Deng, Yajie, Dai, Ying
Format: Journal Article
Language:English
Published: Singapore Springer Singapore 01.04.2022
Subjects:
Classical Mechanics
Engineering
Surfaces and Interfaces
Theoretical and Applied Mechanics
Thin Films
Complete basis function
Interpolating meshless method
Singular weight function
Elastic problems
ISSN:0894-9166, 1860-2134
Online Access:Get full text
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Summary:An improved interpolating complex variable element-frees Galerkin (IICVEFG) method for the two-dimensional elastic problems is developed. This method is based on the improved interpolating complex variable moving least-squares (IICVMLS) method and the integral form of the elastic problems. In the IICVEFG method, the proposed shape function has the interpolating feature. Therefore, the essential boundary conditions can be exerted directly. Additionally, the unnecessary terms in the discrete matrices are removed, which results in a set of concise formulas. This method is verified by analyzing three elastic examples under different constraints and loads. The numerical results show that the IICVEFG method is superior in precision and efficiency to other non-interpolating meshless methods.
ISSN:0894-9166
1860-2134
DOI:10.1007/s10338-021-00258-4