Pseudo-static limit analysis by discontinuity layout optimization: Application to seismic analysis of retaining walls

Smith, Colin C.; Cubrinovski, Misko

doi:10.1016/j.soildyn.2011.03.014

Cited by 34 publications

(15 citation statements)

References 16 publications

(21 reference statements)

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“…Associated with this mechanism is a collapse load factor, determined via the principle of virtual work, which is an upper bound on the 'exact' load factor according to formal plasticity theory. The core matrix formulation for seismic problems is given in Appendix A, repeated from [16] for completeness.…”

Section: Fundamental Theorymentioning

confidence: 99%

“…This appendix is from [16]. The primal kinematic problem formulation for the plane strain analysis of a quasistatically loaded, perfectly plastic cohesive-frictional body discretised using m nodal connections (slip-line discontinuities), n nodes and a single load case can be given by…”

Section: Appendix Amentioning

confidence: 99%

“…where D f and L f are vectors containing respectively specified dead and live loads For seismic problems, pseudo-static theory may be employed [16]. The imposition of horizontal and vertical seismic acceleration within the system results in additional work terms in the governing equation that are analogous to that for self-weight.…”

Section: Appendix Amentioning

confidence: 99%

See 2 more Smart Citations

Newmark sliding block model for predicting the seismic performance of vegetated slopes

Liang¹,

Knappett²

2017

Soil Dynamics and Earthquake Engineering

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Section: Fundamental Theorymentioning

confidence: 99%

Section: Appendix Amentioning

confidence: 99%

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Newmark sliding block model for predicting the seismic performance of vegetated slopes

Liang¹,

Knappett²

2017

Soil Dynamics and Earthquake Engineering

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“…By introducing a great amount of potential discontinuities, the layout of activated discontinuity will be automatically obtained by solving the corresponding linear programming (LP) and second‐order cone programming problems. This method has been successfully applied for solving geotechnical and structural upper limit problems, showing its robustness and high efficiency. Compared with existed element‐based numerical methods such as previous studies, DLO is node based, taking a very wide search space into account since the introduced potential discontinuities are permitted to cross over one another but not only considered at the edges of elements.…”

Section: Introductionmentioning

confidence: 99%

Stability analysis of shotcrete supported crown of NATM tunnels with discontinuity layout optimization

Zhang

Zhuang

Lackner

2018

Num Anal Meth Geomechanics

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Summary For tunnel constructed by New Austrian Tunnelling Method, the crown is the upper part of tunnel section, constructed during excavation process and supported by shotcrete. The stability of the crown has great influence on the safety of tunnel itself and the buildings above, which correlates, among others, with geometrical setup of tunnel and material properties of shotcrete and soil/rock. In this paper, aiming at analyzing the stability of shotcrete supported crown, a recently presented numerical method discontinuity layout optimization is adopted, which introduces a great amount of potential discontinuities cross over one another and provides a wide search space for efficient upper limit analysis. In the analysis, a well‐established hydration model of cementitious material is implemented for accounting the hydration of shotcrete. Then assumptions based on convergence‐confinement method are used for accounting the 3‐dimensional effect in 2‐dimensional analysis, finally providing time‐space–dependent assessments of stability of shotcrete supported crown.

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“…Introducing large numbers of potential discontinuities permitted to crossover one another in a given domain and specifying the loading and boundary conditions (live loads, dead loads and supports), DLO can automatically generate a set of activated discontinuities corresponding to the upper bound limit load. This method has been successfully used to determine the slip-line mechanisms of several geotechnical problems [7,10,11], the yield-line failure of slabs [12,13], failure mechanisms of masonry structures [14] and of retaining walls in seismic conditions [15].…”

Section: Introductionmentioning

confidence: 99%

Multi-slicing strategy for the three-dimensional discontinuity layout optimization (3D DLO)

Zhang

2016

Int. J. Numer. Anal. Meth. Geomech.

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SummaryDiscontinuity layout optimization (DLO) is a recently presented topology optimization method for determining the critical layout of discontinuities and the associated upper bound limit load for plane two‐dimensional and three‐dimensional (3D) problems. The modelling process (pre‐processing) for DLO includes defining the discontinuities inside a specified domain and building the target function and the global constraint matrix for the optimization solver, which has great influence on the the efficiency of the computation processes and the reliability of the final results. This paper focuses on efficient and reliable pre‐processing of the discontinuities within the 3D DLO and presents a multi‐slicing strategy, which naturally avoids the overlapping and crossing of different discontinuities. Furthermore, the formulation of the 3D discontinuity considering a shape of an arbitrary convex polygon is introduced, permitting the efficient assembly of the global constraint matrix. The proposed method eliminates unnecessary discontinuities in 3D DLO, making it possible to apply 3D DLO for solving large‐scale engineering problems such as those involving landslides. Numerical examples including a footing test, a 3D landslide and a punch indentation are considered, illustrating the effectiveness of the presented method. © 2016 The Authors. International Journal for Numerical and Analytical Methods in Geomechanics published by John Wiley & Sons Ltd.

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Pseudo-static limit analysis by discontinuity layout optimization: Application to seismic analysis of retaining walls

Abstract: 8Discontinuity Layout Optimization (DLO) is a recent development in the field 9 of computational limit analysis, and to date, the literature has examined the 10 solution of static geotechnical stability problems only by this method. In

Cited by 34 publications

References 16 publications

Newmark sliding block model for predicting the seismic performance of vegetated slopes

Newmark sliding block model for predicting the seismic performance of vegetated slopes

Stability analysis of shotcrete supported crown of NATM tunnels with discontinuity layout optimization

Multi-slicing strategy for the three-dimensional discontinuity layout optimization (3D DLO)

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