Stress-Ratio-Based Interpretation of Modulus Reduction and Damping Curves

Yniesta, Samuel; Brandenberg, Scott J.

doi:10.1061/(asce)gt.1943-5606.0001585

Cited by 5 publications

(3 citation statements)

References 12 publications

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“…However, the fitting parameters of these models must be calibrated for other soils. γ r is challenging; therefore, Yniesta & Brandenberg (2016) showed that γ/γ r can be replaced by stress ratio (τ/σ v , where τ = Gγ and σ v is vertical stress) for the interpretation of experimental data.…”

Section: Prediction Of G(γ )/G Maxmentioning

confidence: 99%

The influence of the anisotropic stress state on the intermediate strain properties of granular material

et al. 2018

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This paper shows the effect of anisotropic stress state on intermediate strain properties of cylindrical samples containing spherical glass particles. Tests were carried out with the modified resonant column device available at Ruhr-Universität Bochum. Dry samples were subjected to two anisotropic stress states: (a) cell pressure, σ ′ h , constant and vertical stress, σ ′ v , increased (stress state GB-I) and (b) σ ′ v /σ ′ h equal to 2 (stress state GB-II). The experimental results revealed that the effect of stress state GB-II on the modulus and damping ratio was more significant and obvious than stress state GB-I. The effect of the anisotropic stress state was explained through the impact of confining pressure and anisotropic stress components on the stiffness and damping ratio. The results showed that: (a) G(γ) increased, η(γ) decreased and their strain non-linearity decreased with an increase in the confining pressure component σ ′ v σ ′ h ; (b) G(γ) decreased, η(γ) increased and their strain non-linearity increased with an increase in the anisotropic stress component, σ′ v /σ′ h. The analysis of results revealed that reference shear strain was also affected by anisotropic stress state. Therefore, an empirical relationship was developed to predict the reference shear strain, as a function of confining pressure and anisotropic stress components. Additionally, the damping ratio was written as a function of the minimum damping ratio and the reference shear strain.

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Section: Prediction Of G(γ )/G Maxmentioning

confidence: 99%

The influence of the anisotropic stress state on the intermediate strain properties of granular material

et al. 2018

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“…Modeling the modulus reduction behavior in stress-ratio space is therefore attractive for multi-axial models because it would be consistent with convention. Figure 2 (Yniesta and Brandenberg 2016) presents MRD curves calculated from three different empirical relationships for sand, clay, and peat, at different confining pressure (i.e. effective stress).…”

Section: Formulation Of the 1d Constitutive Modelmentioning

confidence: 99%

A Constitutive Model Controlling Damping for 2D and 3D Site Response

Yniesta¹,

Brandenberg²

2018

Geotechnical Earthquake Engineering and Soil Dynamics V

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Modulus reduction and damping curves are commonly used as input parameters in site response analyses. Until very recently, constitutive models for nonlinear site response analysis could not accurately capture both the desired modulus reduction and damping behavior due to flaws in the assumed functional form for the backbone curve, and/or flaws in the unload-reload relationship. New relationships that solve these issues have recently been proposed, however, they are restricted to defining the in-plane stress-strain relationship for a single plane of shear, and are therefore only appropriate for 1D site response. This paper presents a multi-axial generalization of one of these 1D models, enabling its use in 2D and 3D site response. The 1D model is first briefly described, followed by the multi-axial generalization in terms of stress and strain invariants. The modulus reduction and damping curves are defined in terms of stress ratios rather than shear strains, which allows the model to better capture changes in confining pressure during undrained loading. An example is presented to illustrate fundamental differences in multi-axial versus 1D loading.

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“…Hardin and Black [13] and Seed and Idriss [14] proposed empirical equations for estimation of dynamic shear modulus and damping ratio of sand and clay, respectively. It is found that the dynamic shear modulus and damping ratio were significantly affected by soil type, shear strain, and effective confining pressure [15][16][17][18][19][20][21][22][23][24][25]. However, load frequency, vibration history, over consolidation ratio, and saturation had slight effects on the dynamic shear modulus and damping ratio [18,[26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Experimental Investigation of Dynamic Characteristics of Subsea Sand‐Silt Mixtures

Feng

Tang

Wang

et al. 2019

Advances in Civil Engineering

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In this paper, extensive resonant column tests were conducted to investigate dynamic responses of subsea sand-silt mixtures. The effects of confining pressure, mixture ratio, curing age, and cement content were evaluated. For the test condition considered in this study, the measured damping ratio is the smallest when the ratio of subsea sand to silt is in a range of 1.5 to 2.0. Moreover, unsolidified subsea sand-silt mixed at a ratio of 1.5 has almost the same maximum shear stiffness as the pure sand. For solidified subsea sand-silt mixture, cement can significantly increase the dynamic shear stiffness when the curing age is less than 14 days. However, the increase of the maximum dynamic shear stiffness is negligible when the curing age is longer than 14 days. When the cement content is 2%, the damping ratio of the solidified mixtures is very close to that of the unsolidified mixture. When the cement content is higher than 4%, the damping ratio of the solidified mixtures reduces significantly. This is mainly due to hydration reactions occurring in the solidified mixtures.

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Stress-Ratio-Based Interpretation of Modulus Reduction and Damping Curves

Cited by 5 publications

References 12 publications

The influence of the anisotropic stress state on the intermediate strain properties of granular material

The influence of the anisotropic stress state on the intermediate strain properties of granular material

A Constitutive Model Controlling Damping for 2D and 3D Site Response

Experimental Investigation of Dynamic Characteristics of Subsea Sand‐Silt Mixtures

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