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Hydrostatic stress

About: Hydrostatic stress is a research topic. Over the lifetime, 1568 publications have been published within this topic receiving 37773 citations.


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TL;DR: In this paper, a mathematical model for the embrittlement of a long elastic-plastic crack by a relatively small, misfitting inclusion is presented, which makes direct contact with the Dugdale-Bilby-Cottrell-Swinden model as a limiting case.
Abstract: A mathematical model for the embrittlement of a long elastic-plastic crack by a relatively small, misfitting inclusion is presented. The model makes direct contact with the Dugdale–Bilby–Cottrell–Swinden model as a limiting case. The particular case of an oxide inclusion with a triangular cross-section at the tip of an intergranular crack in the Ni-based superalloy RR1000 at $$650\,^{\circ }\hbox {C}$$ is considered. The positive misfit of the intrusion provides an additional tensile load on the crack tip and on the plastic zone, raising the local stress intensity factor $$k_I$$ and the crack tip opening displacement $${\varDelta } u$$ above those when the inclusion is replaced by a dislocation-free zone of the same length. It is shown that for a given misfit strain and inclusion shape, the enhancement of $$k_I$$ and $${\varDelta } u$$ is controlled by a dimensionless parameter $$\omega = (\sigma /\sigma _1)\sqrt{c/(2l)}$$ where $$\sigma $$ is the applied stress, $$\sigma _1$$ is the yield stress, c is the crack length and l is the length of the inclusion. The anti-shielding effect of the intrusion is significant only when $$\omega \lesssim 6$$ . As a result of the anti-shielding effect of the intrusion, the stress singularity at the crack tip always exceeds the compressive normal stress that exists within the thickest part of the intrusion when it is isolated. It is also shown that the gradient of the hydrostatic stress within the intrusion subjected to different applied stresses drives the oxygen diffusion and, hence, assists the oxidation at the grain boundary. The fracture toughness is considerably greater than that of a bulk sample of the oxide particle, which we attribute to the plastic zone.

8 citations

Journal ArticleDOI
TL;DR: In this paper, an extended formulation for the evolution of the material density in an open die forging of porous axisymmetric solid with Gurson's yielding model is proposed and applied to form the constitutive behavior of the compressible material.
Abstract: It is the objective of this work to suggest and apply an extended formulation for the evolution of the material density in an open die forging of porous axisymmetric solid with Gurson’s yielding model. An admissible porous-dependent velocity field is obtained and applied to form the constitutive behavior of the compressible material. Concurrently, an admissible stress field of the yielded material is used to estimate the effect of the hydrostatic stress on the bulk flow. Such a combination of the dual bounds enables one to assess the non-steady loading path in terms of the current porous state and the geometry of the workpiece, regardless of the mechanism by which the densification process is achieved. Emphasis is given to the use of the newly porous-dependent shear boundary condition along with some classical interfacial friction models. The suggested procedure to simulate the evolution of the densification during the forging process is compared with FEM solutions and self-generated data.

8 citations

Journal Article
TL;DR: In this article, a 3-D penny-shaped microcrack moded has been developed to predict and investigate the evolution of permeability due to microcracks closure in compressive regime.
Abstract: Determination of permeabilities of low permeability rock(≤10-18 m2) under different stress conditons and temperatures is the basis of stability evaluation in geological disposal of radioactive waste,underground gas and oil storage tanks and construction of deep cavern groupsBased on the developed low permeability test equipment(T-M-PTS),gas transport properties of typical Jinping marbles are studied under different hydrostatic pressures and temperaturesBased on microcrack linkage model,evolution of permeability is also studied theoreticallySome results are achieved:(1) Klinkenberg effect is remarkable when gas transport through dense rocks,and should be considered;(2)based on statistic theory and percolation theory,a 3-D penny-shaped microcrack moded has been developed to predict and investigate the evolution of permeability due to microcrack closure in compressive regime;(3) permeability decreases as hydrostatic stress increases because of the decrease of porosity under compression,and permeability decreases faster at the first stage of compression;and(4) permeability decreases from 219×10-21 m2 to 39×10-21 m2 as temperature increases from 15℃ to 40℃ because of the decrease of elasticity,which lead to decrease of porosity under the same hydrostatic stress

8 citations

11 Jan 2006
TL;DR: In this article, the authors consider the problem of recovering the stress tensor field of a 3D object from measurements of the polarization state of transmitted light, using a matrix approximation to the truncated transverse ray transform.
Abstract: In this paper we consider the problem of recovering the stress tensor field of a three dimensional object from measurements of the polarization state of transmitted light. In contrast to the ray transform approach suggested by Sharafutdinov, which uses the inversion of planar Radon transforms to recover a single component of the deviatoric stress normal to a plane, we study the simultaneous reconstruction of all components of the deviatoric stress in each voxel using a matrix approximation to the truncated transverse ray transform. This approach allows us to employ partial differential operators related to linear elasticity in a regularizing penalty term resulting in a well posed problem. We note that the hydrostatic stress is determined by the deviatoric stress (up to an additive constant) from the equilibrium equation, and that our numerical results confirm that the full stress tensor can be recovered using elastic regularization.

8 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202318
202246
202134
202047
201948
201839