Topic
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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01 Jul 1990
TL;DR: In this paper, an inclined crack buried in an infinite plane plate subjected to biaxial remote loadings is analyzed and the validity range of one single parameter of K-characterisation for the entire crack-tip stress and deformation fields under small-scale yielding conditions is shown to be surprisingly small.
Abstract: The validity range of one single parameter of K-characterisation for the entire crack-tip stress and deformation fields under small-scale yielding conditions is shown to be surprisingly small. As a vehicle for demonstration purposes, an inclined crack buried in an infinite plane plate subjected to biaxial remote loadings is analysed. The standard singular fields are found to be inadequate in characterising, to within some reasonable accuracy, such important parameters in controlling such fracture phenomena as the hydrostatic stress, the maximum shear stress and the Mises equivalent stress or the size of the plastic zone at a crack tip. they also fail to describe, even roughly, the experimentally observed shape changes of the plastic zone under both plane stress and plane strain conditions. If, however, the non-singular term in Williams' eigenfunction series expansion is retained instead of being omitted arbitrarily, it is then found that such shape changes can be predicted quite adequately. Comparison with previous results based on elasto-plastic FEM analysis and inelastic modelling is favourable. Influences of specimen geometry configuration on the plastic zone shape are illustrated. Related topics such as the crack initiation angle prediction and fatigue crack propagation description are also discussed.
01 Aug 2017
TL;DR: In this paper, the authors used the Nastran large-strain large-deformation analysis and the Blatz-Ko large deformation theory to calculate the equal-biaxial stress concentration factors.
Abstract: Non-classical stress concentration behavior in a stretched circular hyperelastic sheet (outer radius b = 10 in., thickness t = 0.0625 in.) containing a central hole (radius a = 0.5 in.) was analyzed. The hyperelastic sheet was subjected to different levels of remote radial stretchings. Nastran large-strain large-deformation analysis and the Blatz-Ko large deformation theory were used to calculate the equal-biaxial stress concentration factors K. The results show that the values of K calculated from the Blatz-Ko theory and Nastran are extremely close. Unlike the classical linear elasticity theory, which gives the constant K = 2 for the equal-biaxial stress field, the hyperelastic K values were found to increase with increased stretching and can exceed the value K = 6 at a remote radial extension ratio of 2.35. The present K-values compare fairly well with the K-values obtained by previous works. The effect of the hole-size on K-values was investigated. The values of K start to decrease from a hole radius a = 0.125 in. down to K = 1 (no stress concentration) as a shrinks to a = 0 in. (no hole). Also, the newly introduced stretch and strain magnification factors {K(sub λ),K(sub e) } are also material- and deformation-dependent, and can increase from linear levels of {1.0, 4.0} and reaching {3.07, 4.61}, respectively at a remote radial extension ratio of 2.35.
TL;DR: In this article , the multiaxial yield surface of open-cell Kelvin lattice structures (named as Kelvin foams) is characterized in the von Mises and mean stress plane, which can be well fitted in terms of an elliptical or a parabolic yield function.
13 Dec 2022
TL;DR: In this article , the concepts of stress and stress deviator were introduced and the traction-stress relation was derived, and the equations of force equilibrium and moment balance were developed using differential element constructions.
Abstract: Abstract This chapter covers the basics of force and moment equilibrium. The definitions of traction and stress are given, and the special state of plane stress is described. The traction-stress relation is derived, and the equations of force equilibrium and moment balance are developed using differential element constructions. The equations of motion which account for inertia are also discussed. Common states of homogeneous stress—pure tension/compression, pure shear, and hydrostatic pressure—are discussed. The notions of mean normal stress and stress deviator are also introduced.
TL;DR: In this article, first-principles calculations of the ideal strength of the bcc element under combined uniaxial and hydrostatic tension were performed, and it was shown that the inherent shear failure mode is preserved over the range of stresses that pertain at the crack tip.
Abstract: The bcc element, Nb, has the interesting and atypical property that it is predicted to fail by ⟨111⟩ {112} shear, rather than by {100} cleavage, when strained to its ideal strength in uniaxial tension. This suggests that pure Nb will not exhibit the classic bcc ductile–brittle transition when fractured at low temperature. The experimental data, while limited and ambiguous, seems to support this view. However, for inherent immunity to cleavage fracture at low temperature the shear failure mode must be preserved in the triaxial stress field at the crack tip. First-principles calculations of the ideal strength of Nb under combined uniaxial and hydrostatic tension show that the inherent shear failure mode is preserved over the range of stresses that pertain at the crack tip, while the ideal strength increases in the presence of hydrostatic tension. It is also shown that the ideal strength of Nb decreases under hydrostatic compression, which helps to explain recent observations of the behavior of Nb-rich Ti al...