886424 Poroelastic response of a borehole in a non-hydrostatic stress field

1988 ◽  
Vol 25 (6) ◽  
pp. 313-314
Keyword(s):  
Stress Field ◽  
Hydrostatic Stress

Internal uniform hydrostatic stresses in a three-phase non-elliptical inclusion subjected to a nearby concentrated couple

2019 ◽  
Vol 24 (9) ◽  
pp. 2931-2943 ◽  
Author(s):  
Xu Wang ◽  
Peter Schiavone
Keyword(s):  
Stress Field ◽  
Conformal Mapping ◽  
Hydrostatic Stress ◽  
Geometric Parameters ◽  
Interphase Layer ◽  
Infinite Matrix ◽  
Elliptical Inclusion ◽  
Three Phase ◽  
Uniform Hydrostatic Stress Field ◽  
Concentrated Couple

We apply conformal mapping techniques with analytic continuation to study the existence of a uniform hydrostatic stress field inside a non-elliptical inclusion bonded to an infinite matrix via a finite thickness interphase layer when the matrix is simultaneously subjected to a concentrated couple as well as uniform remote in-plane stresses. We show that the desired internal uniform hydrostatic stress field is possible for given material and geometric parameters provided a certain constraint is placed on the remote loading. Subsequently, when the single loading parameter, five material parameters and three geometric parameters are prescribed, all of the unknown complex coefficients appearing in the series representing the corresponding conformal mapping function can be uniquely determined from a set of nonlinear recurrence relations. We find that the internal uniform hydrostatic stress field, the constant mean stress in the interphase layer and the hoop stress along the inner interface on the interphase layer side are all unaffected by the existence of the concentrated couple whereas the non-elliptical shape of the (three-phase) inclusion is attributed solely to the influence of the nearby concentrated couple.

Non-hydrostatic stress field orientation inferred from orthopyroxene (Pbca) to low-clinoenstatite (P21/c) inversion in partially dehydrated serpentinites

2018 ◽  
Vol 103 (6) ◽  
pp. 993-1001 ◽  
Author(s):  
Maxime Clément ◽  
José Alberto Padrón-Navarta ◽  
Andréa Tommasi ◽  
David Mainprice
Keyword(s):  
Stress Field ◽  
Hydrostatic Stress ◽  
Field Orientation

Three-Phase Inclusions of Arbitrary Shape With Internal Uniform Hydrostatic Stresses in Finite Elasticity

2012 ◽  
Vol 79 (4) ◽  
Author(s):  
Xu Wang ◽  
Peter Schiavone
Keyword(s):  
Stress Field ◽  
Internal Stress ◽  
Arbitrary Shape ◽  
Hydrostatic Stress ◽  
Finite Elasticity ◽  
Geometrical Parameters ◽  
Three Phase ◽  
The Matrix ◽  
Internal Stress Field ◽  
Hydrostatic Stresses

We study the internal stress field of a three-phase two-dimensional inclusion of arbitrary shape bonded to an unbounded matrix through an intermediate interphase layer when the matrix is subjected to remote uniform in-plane stresses. The elastic materials occupying all three phases belong to a particular class of compressible hyperelastic harmonic materials. Our analysis indicates that the internal stress field can be uniform and hydrostatic for some nonelliptical shapes of the inclusion, and all of the possible shapes of the inclusion permitting internal uniform hydrostatic stresses are identified. Three conditions are derived that ensure an internal uniform hydrostatic stress state. Our rigorous analysis indicates that for the given material and geometrical parameters of the three-phase inclusion of a nonelliptical shape, at most, eight different sets of remote uniform Piola stresses can be found, leading to internal uniform hydrostatic stresses. Finally, the analytical results are illustrated through an example.

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