Interaction and Microfracturing Pattern for Successive Origination (Introduction) of Pores in Elastic Bodies: Finite Deformation

Author:

Levin V. A.1,Zingerman K. M.2

Affiliation:

1. Department of Mechanics and Mathematics, Moscow State University, Moscow 119899, Russia

2. Department of Applied Mathematics and Cybernetics, Tver State University, Tver 170000, Russia

Abstract

The elastic interaction of holes, micropores, and narrow slots (cracks), introduced (originated) successively or simultaneously in previously loaded bodies, is analyzed under finite deformations. Their origination raises an additional finite deformations superimposed on the finite initial ones. The influence of mutual positions of holes, distances between them, their eccentricities and sizes on interaction is investigated. Qualitative and quantitative effects concerned with the finiteness of strains are considered.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference22 articles.

1. Fond C. , FlejouJ.-L., and BerthaudY., 1995, “Interaction Between Cracks and Circular Holes in Two-Dimensional Linear Elastic Media,” European Journal of Mechanics, Vol. A14, No. 1, pp. 73–96.

2. Green, A. E., and Adkins, J. E., 1960, Large Elastic Deformations and Non-Linear Continuum Mechanics, Clarendon Press, Oxford, UK.

3. Haddon R. A. W. , 1967, “Stresses in an Infinite Plate With Two Unequal Circular Holes,” Quarterly Journal of Mechanics and Applied Mathematics, Vol. 20, pp. 277–291.

4. Horii H. , and Nemat-NasserS., 1985, “Elastic Fields of Interacting Inhomogeneities,” International Journal of Solids and Structures, Vol. 21, pp. 731–745.

5. Hu K. X. , ChandraA., and HuangY., 1993, “Multiple Void-Crack Interaction,” International Journal of Solids and Structures, Vol. 30, pp. 1473–1489.

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