期刊
APPLIED MATHEMATICAL MODELLING
卷 90, 期 -, 页码 1226-1244出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2020.10.023
关键词
Functionally graded materials; Kirchhoffand Reissner plate theories; Boundary element method; Displacement discontinuity method; Meshless local Petrov-Galerkin method; Stress intensity factors
资金
- Slovak Science and Technology Assistance Agency [APVV-18-0004, VEGA-2/0061/20]
- National Natural Science Foundation of China [:11702125]
This paper presents a novel hybrid Meshless Displacement Discontinuity Method for cracked Reissner's plate in Functionally Graded Materials. The governing equation is satisfied using meshless methods, and Stress Intensity Factors are evaluated analytically with Chebyshev polynomials. Accuracy is verified through comparison of numerical and analytical results.
Growing applications of non-homogenous media in engineering structures require the application of powerful computational tools. A novel hybrid Meshless Displacement Discontinuity Method (MDDM) for cracked Reissner's plate in Functionally Graded Materials (FGMs) is presented in this paper. The fundamental solutions of slope and deflection discontinuity for an isotropic homogenous media are chosen as a part of general solutions to create the gaps between the crack surfaces. The governing equation is satisfied by using the meshless methods such as the Meshless Local Petrov-Galerkin (MLPG) and the Point Collocation Method (PCM) with Lagrange series interpolation and mapping technique. The Stress Intensity Factors (SIFs) are evaluated analytically with the Chebyshev polynomials. The accuracy is verified by comparison of numerical and analytical results. (C) 2020 Elsevier Inc. All rights reserved.
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