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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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Journal ArticleDOI
TL;DR: In this article, a model for machining that allows incorporation of any distribution of stresses at the rake face and account is taken of variation in hydrostatic stress along the shear plane due to changes in flow stress is developed.
Journal ArticleDOI
TL;DR: In this paper , the authors investigated the separate roles of the hydrostatic and deviatoric components of stress tensor (using the First and the second invariants and ) in terms of stress dependent shear compliance and apparent compressibility function in the time temperature region of the test.
Abstract: Experimental work was carried out to investigate the separate roles of the hydrostatic and deviatoric components of stress tensor (Using the First and the second invariants and ). The results were expressed in term of stress dependent shear compliance and apparent compressibility function in the time temperature region of the test (up to seconds at the region of the relaxation). The Compressibility Function showed no significant change, when increasing the hydrostatic stress and keeping the deviatoric stress constant, and by varying and keeping constant the change is about 10 for the stress combination of tension-torsion. The volume was found to increase with time when increasing and keeping constant. In the case of and the deviatoric stress played the major role. All these effects could be rationalized by the idea of the time dependent free volume. If the free - volume increases with time by increasing this could explain the difference in the effect of and on and explain the creep less than recovery. There is no difference between the compressibility function in creep and recovery (to within the experimental scatter of ()). A small increase in B was detected with time, the maximum difference between the lowest and highest is .
01 Dec 2006
TL;DR: In this article, a simple numerical method is introduced for the analysis of strain-softening behavior of the circular tunnel in Mohr-Coulomb rock mass, which can also be applied to analysis of the tunnel in brittle-plastic or perfectly plastic media.
Abstract: Calculating the distribution of stresses and displacements around a circular tunnel excavated in infinite isotropic rock mass subjected to hydrostatic stress condition is one of the basic problems in rock engineering. While closed-form solutions for the distribution are known if rock masses are considered as elastic, perfectly plastic, or brittle-plastic media, a few numerically approximated solutions based on various simplifying assumptions have been reported for strain-softening rock mass. In this study, a simple numerical method is introduced for the analysis of strain-softening behavior of the circular tunnel in Mohr-Coulomb rock mass. The method can also applied to the analysis of the tunnel in brittle-plastic or perfectly plastic media. For the brittle-plastic case where closed-formsolution exists, the performance of the present method is verified by showing an excellent agreement between two solutions. In order to demonstrate the strain-softening behaviors predicted by the proposed method, a parameter study for a softening index is given and the construction of ground reaction curves is carried out. The importance of defining the characteristics of dilation in plastic analysis is discussed through analyzing the displacements near the surface of tunnel.
Book ChapterDOI
TL;DR: In this paper, Padwal et al. used the linearised version of Rice and Tracey's void growth equation to develop void growth and coalescence model and incorporated the triaxial stress state for predicting its influence on forming limits.
Abstract: The presence of voids in sheet metal has been experimentally confirmed [ 2 ]. Increase in size of these voids with plastic strains has been experimentally confirmed by Parmar and Mellor [ 2 ] and modeled by Rice and Tracey [ 12 ]. Bridgman [ 14 ] has shown that the stress state in the neck of a biaxially stretched sheet becomes triaxial and analyzed the stress state. Rao [ 17 ] used the linearised version of Rice and Tracey's void growth equation to develop void growth and coalescence model and incorporated the triaxial stress state for predicting its influence on forming limits. Padwal et al. [ 22 , 23 ] further extended the analysis to cover both the linearised and non-linearised versions and gave an analysis for plastic instability as well as the prediction of forming limits. It is observed that the use of non-linearised model predicts a much sharper growth of void fraction especially when the magnitude of relative hydrostatic stress component is large. The forming limits predicted at the equibiaxial strain end are appreciably lower compared to those from M.K. models. It is also observed that an increase in void fraction, as well as increase in void size at constant void fraction reduces the forming limits. This model also predicts a dependence of the forming limits on sheet thickness and this is more pronounced compared to that from the model of Rao and Chaturvedi [ 10 ].
Journal ArticleDOI
TL;DR: In this article, a method to estimate hardness using FE simulations of Vickers hardness tests from the viewpoint that hardness indicates resistance to plastic deformation is presented, and the results of the simulations for several materials such as commercial aluminum alloy and steel will be compared with those of Vicker hardness tests for the materials.
Abstract: Hardness is most likely to mean the resistance to indentation, and to the design engineer it often means an easily measured and specified quantity which indicates something about the strength and heat treatment of the metal. Especially, Vickers hardness is one of the most widely useful methods to obtain mechanical properties of a product. Firstly, in this study, a method to estimate hardness will be presented using FE simulations of Vickers hardness tests from the viewpoint that hardness indicates resistance to plastic deformation. To verify our method, the results of the simulations for several materials such as commercial aluminum alloy and steel will be compared with those of Vickers hardness tests for the materials. Secondly in this study, hardness numbers of the several materials will be obtained as a function of hydrostatic stress. Through the results of this study, the estimation of hardness number of a specific material will be very easy to obtain and access even though the material is under a kind of hydrostatic stress state.

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