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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 nonlinear model of an isotropic elastic material is proposed, which is a generalization of the Murnagan model, in which the expansion of the specific potential energy of the strains in a series in powers of the Genki logarithmic strain tensor is used.
Abstract: A nonlinear model of an isotropic elastic material is proposed, which is a generalization of the Murnagan model, in which the expansion of the specific potential energy of the strains in a series in powers of the Genki logarithmic strain tensor is used. The physical meaning of the constants included in the obtained relations is determined. Along with bulk modulus K and shear modulus G, constants c1, c2, c3 associated with third-order moduli of elasticity were used: the constant c1 reflects the nonlinear dependence of the hydrostatic stress on volumetric deformation, the constant c2 reflects the dilatation effect, and the constant c3 reflects the deviation of the stress state angle from the deformed state angle. The article is dedicated to the blessed memory of outstanding scientists A. A. Ilyushin and L. A. Tolokonnikov, whose ideas were developed in this work.

2 citations

Journal ArticleDOI
TL;DR: Experimental results suggest that inelastic response of Renew composite is significantly influenced by hydrostatic stress component, and pressure-dependent yield functions are required to analyze plastic deformations and internal damage accumulation process.
Abstract: This study focuses on the mechanical response of a particle-reinforced restorative dental composite (Renew™) under proportional transverse confinement to understand the effects of stress multiaxiality on its mechanical and failure behaviors. We describe the confining ring technique as an experimental tool to introduce multiaxial compressive stress states in dental composites that realistically mimic three-dimensional stress states commonly experienced by dental restorations in the oral cavity. Effect of initial radial misfit between confining ring and specimen is analyzed through computational finite element simulations, and an analytical treatment of problem is also provided to compute the confining stress during elasto-plastic expansion of confining ring. Experimental results suggest that inelastic response of Renew composite is significantly influenced by hydrostatic stress component, and pressure-dependent yield functions are required to analyze plastic deformations and internal damage accumulation process.

2 citations

Journal ArticleDOI
TL;DR: In this paper, a multi-axial strength criterion for lightweight aggregate (LWA) concrete is proposed based on the Unified Twin-Shear Strength (UTSS) theory developed by Prof Yu (Yu et al. 1992), which takes into account the above strength characteristics of LWA under high compressive stress level.
Abstract: The strength theory of concrete is significant to structure design and nonlinear finite element analysis of concrete structures because concrete utilized in engineering is usually subject to the action of multi-axial stress. Experimental results have revealed that lightweight aggregate (LWA) concrete exhibits plastic flow plateau under high compressive stress and most of the lightweight aggregates are crushed at this stage. For the purpose of safety, therefore, in the practical application the strength of LWA concrete at the plastic flow plateau stage should be regarded as the ultimate strength under multi-axial compressive stress state. With consideration of the strength criterion, the ultimate strength surface of LWA concrete under multi-axial stress intersects with the hydrostatic stress axis at two different points, which is completely different from that of the normal weight concrete as that the ultimate strength surface is openended. As a result, the strength criteria aimed at normal weight concrete do not fit LWA concrete. In the present paper, a multi-axial strength criterion for LWA concrete is proposed based on the Unified Twin-Shear Strength (UTSS) theory developed by Prof Yu (Yu et al. 1992), which takes into account the above strength characteristics of LWA under high compressive stress level. In this strength criterion model, the tensile and compressive meridians as well as the ultimate strength envelopes in deviatoric plane under different hydrostatic stress are established just in terms of a few characteristic stress states, i.e., the uniaxial tensile strength ft, the uniaxial compressive strength fc, and the equibiaxial compressive fbc. The developed model was confirmed to agree well with experimental data under different stress ratios of LWA concrete.

2 citations

Journal ArticleDOI
TL;DR: In this article, the sensitivity analysis is focused on nucleation and growth of microvoids; the related modifications on microvoid volume fraction, effective plastic strain, hydrostatic stress, dimensions, and load are given through two reference models, the tensile test of a single axisymmetric Q4 element and the upset of a clamped cylinder.
Abstract: A suitable range of microvoided material parameters is defined to perform a set of finite element computations. The sensitivity analysis is focussed on nucleation and growth of microvoids; the related modifications on microvoid volume fraction, effective plastic strain, hydrostatic stress, dimensions, and load are given through two reference models, the tensile test of a single axisymmetric Q4 element and the upset of a clamped cylinder.It is shown that refined analysis requires the determination of four supplementary material parameters, the initial microvoid volume fraction, the effective plastic strain at incipient nucleation, the potential nucleated microvoid volume fraction consistent with the inclusion volume fraction and the Gaussian standard deviation of inclusions distribution. Nevertheless, for large plastic strain occurrences, an accurate identification of the effective plastic strain at incipient nucleation and the standard deviation of inclusions distribution parameters is not necessary.

2 citations

Journal ArticleDOI
TL;DR: In this article, conformal mapping techniques with analytic continuation were applied to study the existence of a uniform hydrostatic stress field inside a non-elliptical inclusion bonded to an infinite matrix via a finite matrix.
Abstract: 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 fi...

2 citations


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