A Volume Integral Equation Technique for Multiple Inclusion and Crack Interaction Problems-Reference-Cited by-同舟云学术

A Volume Integral Equation Technique for Multiple Inclusion and Crack Interaction Problems

Published:1997-03-01 Issue:1 Volume:64 Page:23-31
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Lee Jungki¹,Mal Ajit²

Affiliation:

1. Department of Mechanical Design and Production Engineering, Hong Ik University, Jochiwon-Eup, Yeonki-Gun, Chungnam, Korea 339800

2. Department of Mechanical and Aerospace Engineering, University of California, Los Angeles, CA 90095-1597

Abstract

A volume integral equation method is introduced for the solution of elastostatic problems in heterogeneous solids containing interacting multiple inclusions, voids, and cracks. The method is applied to two-dimensional problems involving long parallel cylindrical inclusions and cracks. The influence of interface layers on the interfacial stress field is investigated. The stress intensity factors for microcracks in the presence of interacting inclusions or voids are also calculated for a variety of model geometries. The accuracy and efficiency of the method are examined through comparison with results obtained from analytical and boundary integral methods.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/64/1/23/5464661/23_1.pdf

Reference21 articles.

1. Aliabadi, M. H., and Rooke, D. P., 1991, Numerical Fracture Mechanics, Computational Mechanics Publications, Boston.

2. Beskos, D. E., ed., 1989, Boundary Element Methods in Structural Analysis, American Society of Civil Engineers, New York.

3. Blackburn, W. S., 1977, The Mathematics of Finite Elements and Applications, Brunel University.

4. Cox B. N. , DadkhahM. S., JamesM. R., MarshallD. B., MorrisW. L., and ShawM., 1990, “On Determining Temperature Dependent Interfacial Shear Properties and Bulk Residual Stresses in Fibrous Composites,” Acta metall mater., Vol. 38, pp. 2425–2433.

5. El Mouden M. E. , and MolinariA., 1995, “A cluster approach for the elastic interaction of inclusions,” C.R. Acad. Sci. Paris, Vol. 321, pp. 355–361.

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