Mechanics of hyperelastic composites reinforced with nonlinear elastic fibrous materials in finite plane elastostatics

2021 ◽  
Vol 165 ◽  
pp. 103491
Author(s):  
Suprabha Islam ◽  
Seyed Ehsan Seyed Bolouri ◽  
Chun-Il Kim
Keyword(s):  
Fibrous Materials ◽  
Finite Plane ◽  
Nonlinear Elastic ◽  
Plane Elastostatics

Uniformity of stresses inside a parabolic inhomogeneity in finite plane elastostatics

2020 ◽  
Vol 231 (4) ◽  
pp. 1559-1566 ◽  
Author(s):  
Xu Wang ◽  
Ping Yang ◽  
Peter Schiavone
Keyword(s):  
Finite Plane ◽  
Plane Elastostatics

Uniformity of stresses inside an elliptic inclusion in finite plane elastostatics

2005 ◽  
Vol 40 (2-3) ◽  
pp. 281-287 ◽  
Author(s):  
C.Q. Ru ◽  
P. Schiavone ◽  
L.J. Sudak ◽  
A. Mioduchowski
Keyword(s):  
Finite Plane ◽  
Elliptic Inclusion ◽  
Plane Elastostatics

On Partially Debonded Circular Inclusions in Finite Plane Elastostatics of Harmonic Materials

2008 ◽  
Vol 76 (1) ◽  
Author(s):  
X. Wang ◽  
E. Pan
Keyword(s):  
Mixed Boundary ◽  
Elastic Inclusion ◽  
Mixed Boundary Conditions ◽  
Finite Plane ◽  
Full Field ◽  
Square Root Singularity ◽  
Circular Elastic Inclusion ◽  
Plane Elastostatics ◽  
External Loads ◽  
Finite Plane Deformations

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.

scholarly journals Eshelby's conjecture in finite plane elastostatics

2007 ◽  
Vol 61 (1) ◽  
pp. 63-73 ◽  
Author(s):  
C. I. Kim ◽  
M. Vasudevan ◽  
P. Schiavone
Keyword(s):  
Finite Plane ◽  
Plane Elastostatics
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