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Extraction of Stress Intensity Factors by Using the P-Version Finite Element method and contour integral method

Acta Mechanica Solida Sinica 2020年第6期33卷 836-850页

作者： Jianming Zhang Jun Chen Liang Wu Department of Engineering Mechanics Kunming University of Science and TechnologyKunming 650500China Department of Water Resources and Hydropower Engineering Kunming University of Science and TechnologyKunming 650500China

The stress intensity factors(SIFs)for two-dimensional cracks are extracted using the p-version finite element method(P-FEM)and the contour integral *** numerical experiments,e.g.,crack initiating from the edge of a circular hole under an unidirectional uniform tension and two equal-length,unequal-length hole-edge cracks,respectively,at a rectangular plate,an inclined centered crack under uniaxial tension at a square plate and a pipeline crack model,are used to demonstrate the accuracy and effectiveness of the *** are presented for the effects of various crack lengths and length-width *** results are analyzed and compared with reference solutions and results obtained by the Voronoi cell finite element method,boundary element method,high-order extended finite element method(high-order XFEM)and commercial finite element software ABAQUS in the available *** results are in good agreement with the benchmark problems and show faster convergence rate,higher accuracy and better numerical stability.

关键词： Fracture mechanics Stress intensity factors P-version finite element method contour integral method

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A contour integral method for Linear Differential Equations in Complex Plane

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Wuhan University Journal of Natural Sciences 2020年第6期25卷 489-495页

作者： GAO Le WANG Wenshuai School of Mathematics and Statistics Ningxia UniversityYinchuan 750021NingxiaChina

This paper presents the contour integral method for solving the linear constant coefficient ordinary differential equations in complex plane,and obtains the uniform expressions of the general ***,by using Residue Theorem,the general form of the contour integral representation for the homogeneous complex differential equation is obtained,which can be degenerated to classical results in real *** for inhomogeneous complex differential equations with constant coefficients,we construct the integral expression of the particular solution for any continuous forcing term,and give rigorous proof via Residue *** the general solutions of inhomogeneous complex differential equations are also *** main purpose of this paper is to give a foundation for a complete theory of linear complex differential equations with constant coefficients by a contour integral *** results can not only solve the inhomogeneous complex differential equation well,but also explain the forms that are difficult to be understood in the classical solutions.

关键词： complex differential equation contour integral method Residue Theorem general solution particular solution

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