Uniqueness of Finite Element Limit Analysis solutions based on weak form lower and upper bound methods

Poulsen, Peter Noe; Olesen, John Forbes

doi:10.1016/j.ijsolstr.2023.112532

Cited by 2 publications

(1 citation statement)

References 16 publications

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“…Furthermore, Finite Element Limit Analysis (FELA) has been utilized to assess stability of slopes under different conditions (Oberhollenzer et al, 2018;Yingchaloenkitkhajorn, 2019). This approach can generate two distinct solutions: lower bound (LB) and upper bound (UB) solutions (Poulsen & Olesen, 2024). The FELA approach automates the search for the safety factor, combining the advantages of finite element and limit analysis methodologies.…”

Section: Introductionmentioning

confidence: 99%

Stability Assessment of Root-Reinforced Slopes Using Finite Element Limit Analysis

Hutama,

Farichah

2024

jpensil

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Slope instability poses serious threats to infrastructure and environmental sustainability. As a result, numerous reinforcement techniques have been used as disaster mitigation attempts to prevent slope failure. Among various traditional slope reinforcement methods, the use of vegetion root is more cost-effective and environmentally friendly. This paper presents stability assessment of root-reinforced slopes. Firstly, slope models were built for case of bare and root-reinforced slopes. The slope angles were varied in the range of 15º ~ 55 º. The root cohesion and depth of root zone were adjusted within the ranges of 0 ~ 20 kPa and 0 ~1.5 m, respectively. The strength reduction finite element limit analysis method was applied to evaluate the stability of the slopes in this study. The results indicate that factor of safety increases with the increasing of root cohesion and depth of root zone. The best factor of safety was obtained for the case with root cohesion and depth of root zone of 20 kPa and 1.5 m, respectively. Shear dissipation contours of the slope models also show that root reinforcement reduces shear dissipation energy along the failure surface, consequently lowering the possibility of slope failure.

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Section: Introductionmentioning

confidence: 99%

Stability Assessment of Root-Reinforced Slopes Using Finite Element Limit Analysis

Hutama,

Farichah

2024

jpensil

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Material optimization of reinforced concrete structures in multiple limit states

Larsen,

Poulsen,

Olesen

et al. 2024

Structural Concrete

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A common limitation in current material optimization methods for reinforced concrete structures is that they often concentrate solely on either the serviceability limit state (SLS) or the ultimate limit state (ULS). In response, this paper introduces a novel approach to optimize the material layout in planar reinforced concrete structures in plane stress, accounting for both limit states simultaneously. The proposed method employs an iterative strategy, integrating criteria for serviceability and ultimate limit states while approximating the elastoplastic behavior of cracked reinforced concrete. Here, the criteria for the limit states are incorporated as limits on the strains. The methodology initiates with a finite element limit analysis for the preliminary layout. The minimum potential energy principle is utilized to determine the strains for the nonlinear material response, and subsequently, an iterative linearized method is applied for material optimization. The research showcases the successful application of this approach to simple examples and presents improved and optimized solutions that adhere to the limit criteria for more complex structural scenarios.

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Uniqueness of Finite Element Limit Analysis solutions based on weak form lower and upper bound methods

Cited by 2 publications

References 16 publications

Stability Assessment of Root-Reinforced Slopes Using Finite Element Limit Analysis

Stability Assessment of Root-Reinforced Slopes Using Finite Element Limit Analysis

Material optimization of reinforced concrete structures in multiple limit states

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