K-0603 Stress-Focusing Effect in a Spherical Inclusion Embedded in an Infinite Medium Caused by Instantaneous Phase Transform

2001 ◽  
Vol I.01.1 (0) ◽  
pp. 201-202
Author(s):  
Toshiaki HATA
Keyword(s):  
Spherical Inclusion ◽  
Infinite Medium ◽  
Focusing Effect ◽  
Instantaneous Phase ◽  
Phase Transform

Axisymmetric Contact Stresses About a Smooth Elastic Sphere in an Infinite Solid Stressed Uniformly at Infinity

1967 ◽  
Vol 34 (4) ◽  
pp. 960-966 ◽  
Author(s):  
H. B. Wilson ◽  
J. G. Goree
Keyword(s):  
Spherical Inclusion ◽  
Contact Stresses ◽  
Infinite Medium ◽  
Hertzian Contact ◽  
Normal Stresses ◽  
Elastic Parameters ◽  
Stress Components ◽  
Method Of Solution ◽  
Spherical Caps ◽  
Special Case

An evaluation is made of non-Hertzian contact stresses occurring during partial separation between a smooth elastic spherical inclusion and a surrounding infinite medium subjected to two independent axisymmetric stress components at infinity. Modifications of an analysis by another author for a special case involving a rigid inclusion and uniaxial tension applied at infinity are discussed, and an alternate method of solution is given. Extensive numerical results are presented for circumferential and normal stresses on the cavity corresponding to 12 different combinations of loading and elastic parameters which yield contact surfaces defined by either an equatorial spherical band or two polar spherical caps.

Alternative Formulation of Elastic Fields due to Inhomogeneous Isotropic Spherical Inclusions Undergoing Shape-Conserving Volume Change

1992 ◽  
Vol 59 (4) ◽  
pp. 1026-1027
Author(s):  
S. Schmauder ◽  
W. Mader
Keyword(s):  
Shear Modulus ◽  
Elastic Constants ◽  
Volume Change ◽  
Spherical Inclusion ◽  
Infinite Medium ◽  
Alternative Formulation ◽  
Elastic Fields ◽  
Spherical Inclusions ◽  
The Matrix ◽  
Initial Strains

In this Note alternative formulae are derived for the elastic fields due to homogeneous initial strains in an isotropic spherical inclusion embedded in an isotropic infinite medium, assuming a shape conserving volume change of the inclusion. The bulk modulus of the inclusion and the shear modulus of the matrix are the only physically relevant elastic constants necessary to describe analytically displacements, strains, and stresses in the inclusion and the matrix.

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