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Applied Mathematics and Mechanics(English Edition) 1986年第1期7卷 7-16页

作者：欧阳鬯朱涵 Shanghai Dept. of Applied Mechanics Fudan University

This paper continues the discussions to a class of method for solving problems withrandom boundary notches and/or cracks in references by *** in [1](See also[2]and[3]).Using the basic method given in this reference as well as some further *** develop here a new effective computational method for solving random deep boundarynotches and/or *** actual numerical computations given in this paper show that thepresent method is quite workable and the results obtained have enlarged the contents of“Handbook of Stress Intensity Factors”given by ***.

关键词： on a class of method for solving problems with random boundary notches and/or cracks Computations for Deep boundary notches and/or cracks

on a class of method for solving problems with random boundary notches and/or cracks

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Applied Mathematics and Mechanics(English Edition) 1980年第2期1卷 165-173页

作者：欧阳鬯 Fudan University Department of Mathematics

As we know,problems with boundary imperfections(notches or cracks)are the more importantone in practical fracture ***,these imperfections would appear in the boundaries ofthe bodies as a randomly distributed group,and under the loading circumstances would grow up to beunstable cracks which induces catastrophic fracture of the *** right evaluation the fracturebehavior of the bodies with such boundary imperfections,it demands mathematical solutions for pro-blems with random boundary notches and/or cracks.

关键词： on a class of method for solving problems with random boundary notches and/or cracks

on a class of method for solving problems with random boundary notches and/or cracks—(Ⅲ) COMPUTATIONS FOR boundary cracks

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Applied Mathematics and Mechanics(English Edition) 1985年第8期6卷 717-727页

作者：欧阳鬯朱涵 Fudan University Shanghai Department of Applied Mechanics

This paper continues the discussions to a class of method for solving problems withrandom boundary notches and for cracks in refs.[1] and [2].Using the method developed in[1].[2]with important modifications about inclusion of singularities in the formulation. wearrive at a very effective computational process for problems with random boundarycracks. Actual computations for boundary cracks with or without apptied tractions in theirsurfaces. Show that the present method is quite workable for the problems consideredwithin proper range of characteristic parameters. The results obtained here extend thecontents of “Handbook of Stress Intensity Factors” given by G. C. Sih.

关键词： In on a class of method for solving problems with random boundary notches and/or cracks COMPUTATIONS FOR boundary cracks

on a class of method for solving problems with random boundary notches and/or cracks (Ⅱ) COMPUTATIONS FOR boundary notches

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Applied Mathematics and Mechanics(English Edition) 1984年第2期5卷 1137-1141页

作者：欧阳鬯朱涵 Department of Mathematics Shanghai Fudan University

This work is a continuation of the discussion of [1], "on a class of method for solving problems with random boundary notches and/or cracks, (Ⅰ)" by C. Ouyang (Appl. Math. & Mech.,Vol. 1, No. 2, 1980). Here computations for boundary notches are made by using the theory and formulas presented in [1]. In the computation modification is also made for the boundary conditions in parametric plane in [1]. Numerical results for examples show that within ranges of parameter considered in the paper, for example L, the present method in quite workable in practical computations.

关键词： on a class of method for solving problems with random boundary notches and/or cracks COMPUTATIONS FOR boundary notches OO