A macro-element for the modelling of shallow foundation deformations under seismic load

Millen, Maxim; Cubrinovski, Misko; Pampanin, Stefano; Carr, Athol J.

doi:10.1016/j.soildyn.2017.12.001

Cited by 3 publications

(5 citation statements)

References 22 publications

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“…Tistel and Grimstad 37 presented a monotonic model for an anchor block foundation on sand. Millen et al 38 presented a macro-element for shallow foundations based on the work of Chatzigogos et al 31 and Figini et al 33 .…”

Section: Introductionmentioning

confidence: 99%

Practical macro‐element for vertical and batter pile groups

Cemalovic

Castro

Kaynia

2022

Earthq Engng Struct Dyn

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This paper presents a novel macro-element for vertical and batter pile groups. The numerical scheme is based on de-coupled, single pile response. Each pile consists of two separate load-displacement formulations (axial and transverse) that take a displacement increment as input and return a diagonal tangent stiffness value. The effect of rotation is implicitly incorporated in the transverse load-displacement formulation. The presented macro-element does not require pre-defined failure surfaces or other parameters, and is therefore not restricted to a specific foundation configuration, soil profile or soil type. The macro-element may be calibrated using any type of non-linear pile-soil model.The developed macro-element is validated using rigorous numerical models for a variety of configurations.

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Section: Introductionmentioning

confidence: 99%

Practical macro‐element for vertical and batter pile groups

Cemalovic

Castro

Kaynia

2022

Earthq Engng Struct Dyn

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“…34 The numerical model consisted of an elastic SDOF superstructure attached to a nonlinear soil-foundation macroelement; no P-delta effects were considered (Figure 8). The macroelement used in this study is an adaption of the macroelements developed by Chatzigogos et al, 25 Figini et al, 29 and was developed by Millen et al 35 The plasticity and uplift response equations have been validated against centrifuge and finite-element results, and the predictive capabilities of the complete model for peak foundation rotation, settlement, and residual rotation were validated against centrifuge experiments on dry Nevada sand conducted by Deng et al 36 and Trombetta et al 37 However, the plasticity component of the model only captures soil compression; that is, it does not model the soil collapse around embedded foundations, and therefore cannot capture residual foundation uplift that has been observed in centrifuge tests. 38 A forward selection multiple linear regression analysis was performed on the results to obtain an expression for the SFSI-induced rocking settlement ( ) using the python package statsmodels.…”

Section: F I G U R Ementioning

confidence: 99%

“…The fixed base initial stiffness of the wall elements was set to match the first-mode elastic period of the superstructure ( , ), which was calculated using Equation (20), where , is the secant-to-peak period from the DBD process using Equation ( 21), is the design ductility, and is the postyield stiffness ratio, assumed to be equal to 0.05 to be consistent with the study by Pennucci et al 23 that developed the DRF expression for concrete wall buildings. The base of the structural model was attached to the macroelement model from Millen et al 35 (Figure 17).…”

Section: Design Example: Concrete Wall Buildingmentioning

confidence: 99%

“…The numerical model consisted of an elastic SDOF superstructure attached to a nonlinear soil‐foundation macroelement; no P‐delta effects were considered (Figure 8). The macroelement used in this study is an adaption of the macroelements developed by Chatzigogos et al., 25 Figini et al., 29 and was developed by Millen et al 35 . The plasticity and uplift response equations have been validated against centrifuge and finite‐element results, and the predictive capabilities of the complete model for peak foundation rotation, settlement, and residual rotation were validated against centrifuge experiments on dry Nevada sand conducted by Deng et al 36 .…”

Section: Performance‐based Design Processmentioning

confidence: 99%

“…that developed the DRF expression for concrete wall buildings. The base of the structural model was attached to the macroelement model from Millen et al 35 . (Figure 17).…”

Section: Design Example: Concrete Wall Buildingmentioning

confidence: 99%

See 2 more Smart Citations

An integrated performance‐based design framework for building‐foundation systems

Millen

Pampanin

Cubrinovski

2020

Earthq Engng Struct Dyn

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This paper presents a framework for the inclusion of transient and residual foundation deformations within performance‐based seismic design of buildings. A refinement of existing displacement‐based design procedures is proposed that reduces iteration when obtaining the expected peak foundation rotation. Empirical equations are developed based on numerical time‐history analyses that provide an estimation of foundation residual deformations based on the foundation peak rotation. Additional complexities due to deformation within the foundation are discussed regarding how they influence the design and building performance. The design framework is complemented by a simplified analytical design procedure (i.e., hand calculations) to design building‐foundation systems. A design example is given for a six‐storey concrete wall building, which is analyzed by time‐history analysis to demonstrate the application and accuracy of the design procedure.

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Displacement-based design of soil–foundation–structure systems

Millen

Pampanin

Cubrinovski

2019

Proceedings of the Institution of Civil Engineers - Geotechnica

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In this paper a displacement-based design procedure is presented to rationally account for the effects of soil–foundation–structure interaction (SFSI) in the seismic design of shallow foundations. The non-linear deformations at the soil–foundation interface, such as foundation uplift, soil yield and soil–foundation shear deformation can dramatically alter the dynamic response of a building. The lack of consideration of the modifying factors of SFSI and an absence of procedures for controlling foundation and soil behaviour under seismic loads have resulted in inadequate designs for buildings sited on soft soil. A soil–foundation macro-element model was used to calibrate expressions to quantify the non-linear foundation rotational stiffness as well as the effects of foundation energy dissipation and soil–foundation shear deformation on the response of the soil–structure system. A series of concrete wall buildings were designed with the proposed design procedure and numerically assessed to validate the suitability of the design procedure. The simple hand calculation procedure presented here quantifies the modifying factors of SFSI in an intuitive and direct manner to allow engineers to design building–foundation systems with a clear understanding of their expected performance.

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A macro-element for the modelling of shallow foundation deformations under seismic load

Cited by 3 publications

References 22 publications

Practical macro‐element for vertical and batter pile groups

Practical macro‐element for vertical and batter pile groups

An integrated performance‐based design framework for building‐foundation systems

Displacement-based design of soil–foundation–structure systems

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