Seismic behavior of slopes by lower bound dynamic shakedown theory

Arvin, Mohammad Reza; Askari, Faradjollah; Farzaneh, Orang

doi:10.1016/j.compgeo.2011.08.001

Cited by 17 publications

(4 citation statements)

References 12 publications

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“…Studies of the impact of cyclic loading on pore pressure have shown different excess pore water pressure development, which was dependent on the stress state [4][5][6][7][8][9]. The cyclic loading of normally consolidated cohesive soil samples in undrained conditions causes movement of the effective stress path toward the deviator stress axis, which can be recognized as a consolidation state [10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Cohesive Soil Behavior Under Cyclic Loading in Undrained Conditions

Głuchowski

2024

GEOMATE

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In this paper, a study of the cyclic plastic creep phenomenon during cyclic loading was performed. The plastic creep phenomena in the field of soil cyclic loading are defined as a process that occurs under a medium stress state and leads to excessive accumulation of plastic strains. Recent literature shows the existence of plastic creep, which is a part of the shakedown theory for cohesive soils. Nevertheless, when the soil is subjected to a relatively small stress state, the axial plastic strain may occur as a phenomenon called abation, where plastic strain increment occurs in a constant decreasing manner. Cyclic triaxial tests were performed to understand the abation. The results indicate a specific phase in soil response, such as pre-failure stages marked by pore pressure increase and subsequent effective stress reduction, indicating a steady state during repeating loading. In this paper, the proposition of a cyclic plastic creep mechanism based on test results is presented. The soil response was divided into three phases based on the pore pressure, stress paths, resilient modulus, and plastic strain change analysis.

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Section: Introductionmentioning

confidence: 99%

Cohesive Soil Behavior Under Cyclic Loading in Undrained Conditions

Głuchowski

2024

GEOMATE

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“…Benfratello et al (2014) proposed a linear programming format using the lower bound dynamic shakedown theorem which is applied to the plane frame structure under stochastic seismic load. Arvin et al (2012) discussed the stability of seismic behavior of slopes using the lower bound dynamic shakedown theorem and discovered that the load capacity was underestimated as inadaption might occur under minor seismic load. Wang et al (2018) evaluated the response of a slab track substructure under moving train load especially with critical speed using lower bound dynamic shakedown theorem and proposed the conclusion that dynamic shakedown load is related to the ratio of the train speed and the critical speed.…”

Section: Introductionmentioning

confidence: 99%

Dynamical shakedown analysis of high-rise tower structure

Hong-tao

Peng

Liu

2021

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Purpose High-rise tower structures supported by side frame structure and viscous damper in chemical industry can produce plasticity under dynamic loads, such as wind and earthquake, which will heavily influence the long-term safety operation. This paper aims to systematically study the optimization design of these structures by free vibration and dynamic shakedown analysis. Design/methodology/approach The transfer matrix method and Euler–Bernoulli beam vibration are used to study the free vibration characteristic of the simplified high-rise tower structure. Then the extended stress compensation method is used to construct the self-equilibrated stress by using the dynamic load vertexes and the lower bound dynamic shakedown analysis for the structure with viscous damper. Using the proposed method, comprehensive parametric studies and optimization are performed to examine the shakedown load of high-rise tower with various supported conditions. Findings The numerical results show that the supported frame stiffness, attached damper or spring parameters influence the free vibration and shakedown characters of high-rise tower very much. The dynamic shakedown load is lowered down quickly with external load frequency increasing to the fundamental natural frequency of the structure under spring supported condition, while changed little with the damping connection. The optimized location and parameter of support are obtained under dynamical excitations. Research limitations/implications In this study, the high-rise tower structure is simplified as a cantilever beam supported by a short cantilever beam and a damper under repeated dynamic load, and linear elasticity for solid is assumed for free vibration analysis. The current analysis does not account for effects such as large deformation, stochastic external load and nonlinear vibration conditions which will inevitably be encountered and affect the load capacity. Originality/value This study provides a comprehensive method for the dynamical optimization of high-rise tower structure by combining free vibration and shakedown analysis.

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“…In this format, the static load is fixed and the seismic load is generated by using Monte Carlo method. Arvin et al (2012) discussed the stability of seismic behavior of slopes using the lower bound dynamic shakedown theorem and discovered that the seismic load was underestimated as inadaption might occur under minor seismic load. Wang et al (2018) evaluated the response of a slab track substructure under moving train load especially with critical speed using lower bound dynamic shakedown theorem and brought forth the conclusion that dynamic shakedown load is related to the ratio of the train speed and the critical speed.…”

Section: Introductionmentioning

confidence: 99%

A numerical method of lower bound dynamic shakedown analysis for 3D structures

Peng

Zhang

Tang³

et al. 2021

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Purpose The safety assessment of engineering structures under repeated variable dynamic loads such as seismic and wind loads can be considered as a dynamic shakedown problem. This paper aims to extend the stress compensation method (SCM) to perform lower bound dynamic shakedown analysis of engineering structures and a double-closed-loop iterative algorithm is proposed to solve the shakedown load. Design/methodology/approach The construction of the dynamic load vertexes is carried out to represent the loading domain of a structure under both dynamic and quasi-static load. The SCM is extended to perform lower bound dynamic shakedown analysis of engineering structures, which constructs the self-equilibrium stress field by a series of direct iteration computations. The self-equilibrium stress field is not only related to the amplitude of the repeated variable load but also related to its frequency. A novel double-closed-loop iterative algorithm is presented to calculate the dynamic shakedown load multiplier. The inner-loop iteration is to construct the self-equilibrated residual stress field based on the certain shakedown load multiplier. The outer-loop iteration is to update the dynamic shakedown load multiplier. With different combinations of dynamic load vertexes, a dynamic shakedown load domain could be obtained. Findings Three-dimensional examples are presented to verify the applicability and accuracy of the SCM in dynamic shakedown analysis. The example of cantilever beam under harmonic dynamic load with different frequency shows the validity of the dynamic load vertex construction method. The shakedown domain of the elbow structure varies with the frequency under the dynamic approach. When the frequency is around the resonance frequency of the structure, the area of shakedown domain would be significantly reduced. Research limitations/implications In this study, the dynamical response of structure is treated as perfect elastoplastic. The current analysis does not account for effects such as large deformation, stochastic external load and nonlinear vibration conditions which will inevitably be encountered and affect the load capacity. Originality/value This study provides a direct method for the dynamical shakedown analysis of engineering structures under repeated variable dynamic load.

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Seismic behavior of slopes by lower bound dynamic shakedown theory

Cited by 17 publications

References 12 publications

Cohesive Soil Behavior Under Cyclic Loading in Undrained Conditions

Cohesive Soil Behavior Under Cyclic Loading in Undrained Conditions

Dynamical shakedown analysis of high-rise tower structure

A numerical method of lower bound dynamic shakedown analysis for 3D structures

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