• Title/Summary/Keyword: Critical State Theory

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Variation of State Boundary Surface of Remolded Weathered Mudstone soil by spacing ratio (공간비에 의한 재성형 이암 풍화토의 상태경계면 변화)

  • Kim, Ki-Young;Jeon, Je-Sung;Lee, Jong-Wook;Kim, Je-Hong
    • Proceedings of the Korean Geotechical Society Conference
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    • 2008.03a
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    • pp.1095-1099
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    • 2008
  • Critical state theory involves two state boundary surface. One is Roscoe surface and the other is Hvorslev surface. The shape of these boundary surface was changed because of several parameters : Critical state constant(M), spacing ratio (r) and critical state pore pressure coefficient($\wedge$). As these constants make difference to each model and the way of solution, they may affect the shape of state boundary surface. Specially, spacing ratio (r) is important. On this study, triaxial compression test was performed using remolded weathered mudstone soil and investigated variation of state boundary surface because of spacing ratio. In the results of prediction, critical state point was located highly and the shape of boundary surface was changed more tightly curve as decreasing spacing ratio.

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A Nonlinear Theory for the Brusselator Near the Critical Point Caused by Diffusion

  • Han, Keun-Ok;Lee, Dong-J.;Lee, Jong-Myung;Shin, Kook-Joe;Ko, Seuk-Beum
    • Bulletin of the Korean Chemical Society
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    • v.7 no.3
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    • pp.224-228
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    • 1986
  • A nonlinear theory is presented for the fluctuations of intermediates in the Brusselator near the critical point caused by diffusion. The method used is the two time scaling method different from the conventional method in the sense that a slight nonlinear effect is included in the initial time region where the linear approximation is conventionally valid. The result obtained by the nonlinear theory shows that fluctuations close to the critical point approach the value of a stable steady state or deviate infinitely from an unstable steady state, as time goes to infinity, while the linear theory gives approximately time-independent fluctuations. A brief discussion is given for the correlation at a time between fluctuating intermediates when the system approaches a stable steady state.

Revision of Modified Cam Clay Failure Surface Based on the Critical State Theory (한계 상태 기반 수정 Modified Cam Clay 파괴면)

  • Woo, Sang Inn
    • Journal of the Korean Geotechnical Society
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    • v.36 no.4
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    • pp.5-15
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    • 2020
  • This paper proposes a revised Modified Cam Clay type failure surface based on the critical state theory. In the plane of the mean effective and von Mises stresses, the original Modified Cam Clay model has an elliptic failure surface which leads the critical-state mean effective stress to be always half of the pre-consolidation mean effective stress without hardening and evolution rules. This feature does not agree with the real mechanical response of clay. In this study, the preconsolidation mean effective stress only reflects the consolidation history of the clay whereas the critical state mean effective stress only relies on the currenct void ratio of clay. Therefore, the proposed failure surface has a distorted elliptic shape without any fixed ratio between the preconsolidation and critical state mean effective stresses. Numerical simulations for various clays using failure surfaces as yield surface provide mechanical responses similar to the experimental data.

Application of the Critical State Theory to Multi-Dimensional Consolidation Analysis (다차원 압밀해석을 위한 한계상태이른의 적용)

  • 정진섭
    • Geotechnical Engineering
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    • v.3 no.4
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    • pp.7-20
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    • 1987
  • This study was performed to investigate the effect of time-dependent creep on the deformation analysis of multi-dimensional consolidation using the finite element method for young Sedimentary clay. It was assumed that the creep in the clay had occured during consolidation. In the analysis, the Modified cam-clay theory originated from the critical state theory was used as the constitutive equation, in which a term equivalent to the creep was supplemnted. The results of the analysis were in good agreement with the observed values in the field.

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A Corresponding State Theory for the Viscosity of Liquids

  • Kim, Won-Soo;Lee, Suk-Bae
    • Bulletin of the Korean Chemical Society
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    • v.29 no.1
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    • pp.33-37
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    • 2008
  • A phenomenological theory of viscosity previously proposed by the present authors8 is applied to the corresponding state theory for the viscosity of liquid. Through the process of the formulation of the corresponding state equation, we can find the simple viscosity equation with no parameters in a reduced form. The liquid viscosities of various substances can be calculated using this equation when we know only the values of the molecular weight and critical constant of substances. A corresponding state equation for the viscosity of liquid from this theory may be applicable to predicting viscosities of various substances under varying temperature and pressure. As a result, this equation may be widely applied to chemical engineering.

Design of Lyapunov Theory based State Feedback Controller for Time-Delay Systems (시간지연 시스템을 위한 리아푸노브 이론 기반 상태 피드백 제어기 설계)

  • Cho, Hyun Cheol;Shin, Chan Bai
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.62 no.1
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    • pp.95-100
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    • 2013
  • This paper presents a new state feedback control approach for communication networks based control systems in which control input and output observation time-delay natures are generally occurred in practice. We first establish a generic state feedback control framework based on well-known linear system theory. A maximum time-delay value which allows critical stability of whole control system are defined to make a positive definite Lyapunov function which is mathematically composed of controlled system states. We analytically derive its control parameters by using a steepest descent optimization method in order to guarantee a stability condition through Lyapunov theory. Computer simulation is numerically carried out for demonstrating reliability of the proposed NCS algorithm and a comparative study is accomplished to prove its superiority for which the traditional control approach for NCS is made use of under same simulation scenarios.

Nonlinear wind-induced instability of orthotropic plane membrane structures

  • Liu, Changjiang;Ji, Feng;Zheng, Zhoulian;Wu, Yuyou;Guo, Jianjun
    • Wind and Structures
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    • v.25 no.5
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    • pp.415-432
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    • 2017
  • The nonlinear aerodynamic instability of a tensioned plane orthotropic membrane structure is theoretically investigated in this paper. The interaction governing equation of wind-structure coupling is established by the Von $K\acute{a}rm\acute{a}n's$ large amplitude theory and the D'Alembert's principle. The aerodynamic force is determined by the potential flow theory of fluid mechanics and the thin airfoil theory of aerodynamics. Then the interaction governing equation is transformed into a second order nonlinear differential equation with constant coefficients by the Bubnov-Galerkin method. The critical wind velocity is obtained by judging the stability of the second order nonlinear differential equation. From the analysis of examples, we can conclude that it's of great significance to consider the orthotropy and geometrical nonlinearity to prevent the aerodynamic instability of plane membrane structures; we should comprehensively consider the effects of various factors on the design of plane membrane structures; and the formula of critical wind velocity obtained in this paper provides a more accurate theoretical solution for the aerodynamic stability of the plane membrane structures than the previous studies.

A Systematic Review Exploring the Current State of Fashion Criticism -A Focus on the Fashion Designer Exhibition Reviews of Fashion Theory-

  • Choi, Kyung-Hee
    • Journal of the Korean Society of Clothing and Textiles
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    • v.44 no.2
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    • pp.273-294
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    • 2020
  • Considering the complex relationship between fashion curating and the critical approach of fashion exhibition reviews, this study explores the current state of fashion criticism in museology, focusing on fashion designer exhibition reviews of Fashion Theory. The author selected eighteen exhibition reviews of individual fashion designers' works from 1997 on to the current 2020 issues of Fashion Theory, which provides an interdisciplinary forum to analyze fashion as a cultural construction. The author performed a systematic review that qualitatively summarizes and/or synthesizes the findings of the studies on the topic with the process of a systematic review, such as key question formulation, analytic framework building, evidence mapping, critical appraisal, and evidence synthesis. The results of this study are as follows. First, the exhibition reviews included almost all stages of the inclusive fashion criticism model, based on an artifact study. Second, they reflected various critical discourses that offered current interpretations of historical and contemporary fashion. Third, they showed that fashion criticism in the museum context is the result of an interdisciplinary collaboration of various fashion agents. Finally, they offered a bridge for crossing the boundaries of various scholarly fields, as they combine multidisciplinary scholarship with object-based methods.

Study on MCC and Hvorslev-MCC Models (MCC 모델 및 Hvorslev-MCC 모델의 비교 연구)

  • Kim, Dae-Kyu
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.8 no.3
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    • pp.615-619
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    • 2007
  • In this study, the MCC(modified Cam-Clay) model and the Hvorslev-MCC model, recently developed based on the critical state theory and with relatively few model parameters, were investigated by comparing the model predictions with the result of the conventional triaxial compression test strictly performed in laboratory. The discrepancy of the prediction capacities of the models exists on the heavily over-consolidated specimen. The Hvorslev-MCC model accurately predicts the peak strength envelope for heavily over-consolidated clayey specimens on the dry side of the critical state since it adopts the Hvorslev surface in the supercritical region other than the ellipse of the MCC model.

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Transient State Theory of Significant Liquid Structure Applied to Nitrogen Oxides (액체 구조의 천이상태이론의 질소산화물들에 대한 적용)

  • Kim, Sang-Hyung;Pak, Hyung-Suk;Kim, Kak-Choong;Chang, Sei-Hun
    • Journal of the Korean Chemical Society
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    • v.11 no.3
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    • pp.105-110
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    • 1967
  • The transient state theory of significant liquid structure is applied to nitrous oxide and nitrogen tetroxide. The partition functions for the two liquids are derived according to the transient state theory. The various thermodynamic properties; such as, molar volumes, vapor pressures, entropies of vaporization, and critical point properties agree well with the experimental values.

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