Bi-material V-notch fracture analysis in functionally graded materials

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements Pub Date : 2025-01-23 DOI:10.1016/j.enganabound.2025.106127

C.Y. Fu , Y. Yang , P.H. Wen , J. Sladek , V. Sladek

引用次数: 0

Abstract

The finite block method (FBM) in the Cartesian coordinate system is developed to deal with the problems of the bi-materials V-notches in functionally graded materials (FGM) under static and dynamic loads. The first partial differential matrix is established via Lagrange series. Higher-order derivatives can be deduced from the first order partial differential matrix directly. In order to obtain the high accurate at the V-notch tip, the asymptotic expansions of the stress and displacement around the notch tip are introduced with a singular polygonal core technique. For the dynamic problems, the Laplace transform method with Durbin inverse algorithm is utilized. The degrees of accuracy and convergence of the FBM are demonstrated through four case studies. Comparisons are implemented with the finite element method (FEM) results.

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来源期刊

Engineering Analysis with Boundary Elements 工程技术-工程：综合

CiteScore

5.50

自引率

18.20%

发文量

368

审稿时长

56 days

期刊介绍： This journal is specifically dedicated to the dissemination of the latest developments of new engineering analysis techniques using boundary elements and other mesh reduction methods. Boundary element (BEM) and mesh reduction methods (MRM) are very active areas of research with the techniques being applied to solve increasingly complex problems. The journal stresses the importance of these applications as well as their computational aspects, reliability and robustness. The main criteria for publication will be the originality of the work being reported, its potential usefulness and applications of the methods to new fields. In addition to regular issues, the journal publishes a series of special issues dealing with specific areas of current research. The journal has, for many years, provided a channel of communication between academics and industrial researchers working in mesh reduction methods Fields Covered: • Boundary Element Methods (BEM) • Mesh Reduction Methods (MRM) • Meshless Methods • Integral Equations • Applications of BEM/MRM in Engineering • Numerical Methods related to BEM/MRM • Computational Techniques • Combination of Different Methods • Advanced Formulations.