Plasticity Theory Based on Fuzzy Sets

Klisinski, Marek

doi:10.1061/(asce)0733-9399(1988)114:4(563)

Cited by 44 publications

(17 citation statements)

References 12 publications

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“…According to the fuzzy set plasticity theory of Klisinski (1988), the amplitude of the elasto-plastic modulus is a function of the plastic modulus of the corresponding bounding curve, , and the value of the membership function, γ (ψ). This function can be expressed as:…”

Section: Elasto-plastic Modulus and Membership Function For Swccsmentioning

confidence: 99%

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A Soil-Water hysteresis model for unsaturated sands based on fuzzy set plasticity theory

Min

Huy

2010

KSCE J Civ Eng

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The present work is focused on the details of a fuzzy set plasticity theory that was used to model the hysteresis loops in the SoilWater Characteristic Curves (SWCCs). This study first presents an elasto-plastic stress-strain relationships of capillary hysteresis behavior in unsaturated conditions. The linear evolution equation for the elasto-plastic modulus and the membership function in the fuzzy set plasticity theory are introduced. An implicit integration method is then applied to develop the full set of incremental equations. Experimental and literature-cited data were used to evaluate model accuracy. Qualitative predictions of the proposed model show that incorporating soil-water characteristic equation and membership function into the fuzzy set plasticity model opens a full range of possibilities in modeling hysteretic behavior in unsaturated sands.

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Section: Elasto-plastic Modulus and Membership Function For Swccsmentioning

confidence: 99%

“…The fuzzy set (Zadeh, 1965) based plasticity model or model family wasintroduced by Klisinski (1988) to simulate stressstrain hysteresis loops obtained during cyclic loading on soils and also used by Yao (1980) for structural reliability analyses. Due to its transparency and simplicity, this model has received attention recently.…”

Section: Introductionmentioning

confidence: 99%

A Soil-Water hysteresis model for unsaturated sands based on fuzzy set plasticity theory

Min

Huy

2010

KSCE J Civ Eng

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“…The description of special problems such as e.g. yield surfaces in plasticity theory (see Klisinski, 1988) with the aid of fuzzy parameters leads to uncertain limit states, which may be interpreted and evaluated as fuzzy events. In Bardossy and Bogardi (1989) an application is presented for fatigue problems in service life analysis; crisp values for P f as well as fuzzy failure probabilities may be computed.…”

Section: Uncertainties In Structural Analysismentioning

confidence: 99%

Fuzzy structural analysis using α-level optimization

Möller

Graf

Beer

2000

Computational Mechanics

279

113

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In this paper new concepts and developments are presented for structural analysis involving uncertain parameters. Based on a classi®cation of the uncertainties in structural analysis the uncertainty``fuzziness'' is identi®ed and its quanti®cation is demonstrated. On the basis of fuzzy set theory a general method for fuzzy structural analysis is developed and formulated in terms of the alevel optimization with the application of a modi®ed evolution strategy. Every known analysis algorithm for the realistic simulation of load-bearing behavior may be applied in the fuzzy structural analysis in the sense of a deterministic fundamental solution. By way of example, geometrically and physically nonlinear algorithms are adopted in the presented study as a deterministic fundamental solution for the analysis of steel and reinforced concrete structures. The paper also describes coupling between a-level optimization and the deterministic fundamental solution.

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“…The models for stress-strain behavior of granular materials (for example sand or sand-silt mixtures) can be generally categorized into two approaches: the conventional plasticity approach and the micromechanics based approach. The stress-strain models based on traditional plasticity is a one-scale approach, which can be found in the works of many researchers (Desai and Siriwardane, 1984;Wood, 1990;Prevost, 1985;Dafalias and Herrmann, 1982;Klisinski, 1988;Mroz, 2003).…”

Section: Introductionmentioning

confidence: 99%

A Simple One-Scale Constitutive Model for Static Liquefaction of Sand-Silt Mixtures

Liu

Chang

2016

Lat. Am. j. solids struct.

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Instability of liquefaction is one of the major reasons which results in the failure of earth structure such as dam. The present study focuses on the simulation of static liquefaction behavior for granular materials such as sand and sand-silt mixtures. Based on micromechanical analysis of inter-particle behavior, a simple one-scale model is proposed to simulate the stress-strain response of sand; then the proposed model is extended to simulate the sand-silt mixtures using the mixture theory combining the properties of sand and silt according to their proportions. Empirical expressions are introduced to fit the critical state strength and the location of the critical state line for each mixture. Parameters of the model can be divided into two categories: the first seven parameters have the same values either with pure sand or pure silt for silt-sand with any given fines content; the other three parameters are the function of fines content and three more parameters are required to estimate their values. The predicted results of triaxial test of sand and sand-silt mixtures with different fine content, which has a good agreement with the results of laboratory tests, suggest that the proposed model can simulate static liquefaction behavior of sand and sand-silt mixtures.

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Plasticity Theory Based on Fuzzy Sets

Cited by 44 publications

References 12 publications

A Soil-Water hysteresis model for unsaturated sands based on fuzzy set plasticity theory

A Soil-Water hysteresis model for unsaturated sands based on fuzzy set plasticity theory

Fuzzy structural analysis using α-level optimization

A Simple One-Scale Constitutive Model for Static Liquefaction of Sand-Silt Mixtures

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