We investigate a partially debonded circular elastic inclusion embedded in a particular class of harmonic materials by using the complex variable method under finite plane-strain deformations. A complete (or full-field) solution is derived. It is observed that the stresses in general exhibit oscillatory singularities near the two tips of the arc shaped interface crack. Particularly the traditional inverse square root singularity for stresses is observed when the asymptotic behavior of the harmonic materials obeys a constitutive restriction proposed by Knowles and Sternberg (1975, “On the Singularity Induced by Certain Mixed Boundary Conditions in Linearized and Nonlinear Elastostatics,” Int. J. Solids Struct., 11, pp. 1173–1201). It is also found that the number of admissible states under finite plane deformations for given external loads can be two, one, or even zero.
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January 2009
Research Papers
On Partially Debonded Circular Inclusions in Finite Plane Elastostatics of Harmonic Materials
X. Wang,
X. Wang
Department of Civil Engineering, and Department of Applied Mathematics,
e-mail: xuwang_sun@hotmail.com
University of Akron
, Akron, OH 44325-3905
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E. Pan
E. Pan
Department of Civil Engineering, and Department of Applied Mathematics,
University of Akron
, Akron, OH 44325-3905
Search for other works by this author on:
X. Wang
Department of Civil Engineering, and Department of Applied Mathematics,
University of Akron
, Akron, OH 44325-3905e-mail: xuwang_sun@hotmail.com
E. Pan
Department of Civil Engineering, and Department of Applied Mathematics,
University of Akron
, Akron, OH 44325-3905J. Appl. Mech. Jan 2009, 76(1): 011012 (5 pages)
Published Online: November 5, 2008
Article history
Received:
April 14, 2008
Revised:
June 19, 2008
Published:
November 5, 2008
Citation
Wang, X., and Pan, E. (November 5, 2008). "On Partially Debonded Circular Inclusions in Finite Plane Elastostatics of Harmonic Materials." ASME. J. Appl. Mech. January 2009; 76(1): 011012. https://doi.org/10.1115/1.3000023
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