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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 article, the stability of all undistorted states of an arbitrary body subject to dead loads corresponding to a uniform hydrostatic stress is derived. But the results indicate a geometrical dependence for the apparent shear and bulk moduli.
Abstract: Incremental stability criteria appropriate for compressible and incompressible, general isotropic elastic solids are used to study the stability of all undistorted states of an arbitrary body subject to dead loads corresponding to a uniform hydrostatic stress. General conditions sufficient for stability of all such hydrostatic stress states are derived. The results indicate a geometrical dependence for the apparent shear and bulk moduli. The relation of the main results (4.10) and (4.21) to uniqueness theorems in the theory of small deformations superimposed on large, to broad plausibility restrictions imposed on the elasticities so as to assure physically reasonable material behavior, and to the propagation of elastic waves is also outlined; these relations constitute only specific application of certain general theorems already in the literature. Finally, it is shown that the principal results coincide with estimates that may be gotten by aid of Holden's inequality.

8 citations

Journal ArticleDOI
TL;DR: In this paper, a methodology is presented for bounding all higher moments of the local hydrostatic stress field inside random two phase linear thermoelastic media undergoing macroscopic thermomechanical loading.
Abstract: A methodology is presented for bounding all higher moments of the local hydrostatic stress field inside random two phase linear thermoelastic media undergoing macroscopic thermomechanical loading. The method also provides a lower bound on the maximum local stress. Explicit formulae for the optimal lower bounds are found that are expressed in terms of the applied macroscopic thermal and mechanical loading, coefficients of thermal expansion, elastic properties, and volume fractions. These bounds provide a means to measure load transfer across length scales relating the excursions of the local fields to the applied loads and the thermal stresses inside each phase. These bounds are shown to be the best possible in that they are attained by the Hashin-Shtrikman coated sphere assemblage.

8 citations

Journal ArticleDOI
TL;DR: In this article, the integral of hydrostatic stress and the equivalent strain were used to evaluate the void volume reduction in open-die forging experiments with different die geometries under hot isothermal conditions and three-dimensional simulations using rigid-plastic finite element method.
Abstract: Open-die forging experiments using different die geometries under hot isothermal conditions and three-dimensional simulations using rigid-plastic finite-element method were performed to formulate a void-closing behavior using only two factors : the integral of hydrostatic stress and the equivalent strain. First, upsetting, side-upsetting and V-shape die cogging of several cylinders with a spherical void at the center are carried out and the information on the void volume reduction is obtained. Seconds, the same forgings, but without voids is treated numerically and the development of stress and strain at the location of voids is investigated. Then, by combining these results, and using regression analysis, it is found that the void volume reduction is expressed as a polynomial function of the two factors. When the polynomial function is used, various forging methods can be evaluated quantitatively in terms of void-closing behavior. Therefore it is beneficial to optimize the forging process for a large rotor shaft.

8 citations

Journal ArticleDOI
TL;DR: In this article, the influence of initial stress on the frequency equation of flexural waves in a transversely isotropic circular cylinder permeated by a magnetic field has been investigated by the equations of elasticity taking into account the effect of the magnetic field as given by Maxwell's equations in the quasistatic approximation.
Abstract: In this paper, we investigated the influence of initial stress on the frequency equation of flexural waves in a transversely isotropic circular cylinder permeated by a magnetic field. The problem is represented by the equations of elasticity taking into account the effect of the magnetic field as given by Maxwell's equations in the quasi-static approximation. The free stress conditions on the inner and outer surfaces of the hollow circular cylinder were used to form a frequency equation in terms of the wavelength, the cylinder radii, the initial stress and the material constants. The frequency equations have been derived in the form of a determinant involving Bessel functions and its roots given the values of the characteristic circular frequency parameters of the first three modes for various geometries. These roots, which correspond to various modes, have been verified numerically and represented graphically in different values for the initial stress. It is recognized that the flexural elastic waves in a solid body propagated under the influence of initial stress can be differentiated in a clear manner from those propagated in the absence of an initial stress. We also observed the initial stress has a great effect on the propagation of magnetoelastic flexural waves. Therefore this research is theoretically useful to convey information on electromagnetic properties of the material: for example through a precise measurement of the surface current induced by the presence of the magnetic field.

8 citations

Journal ArticleDOI
TL;DR: In this paper, the authors investigated the effect of residual stresses on the stability of the bct-5 silicon phase induced by nano-scratching using a diamond cutting tip, and concluded that the hydrostatic stress component under the cutting tip plays an important role in the initiation and development of the BCT-5 phase.

8 citations


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