• Title/Summary/Keyword: Critical State Theory

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Geomechanical analysis of elastic parameters of the solid core of the Earth

  • Guliyev, Hatam H.
    • Geomechanics and Engineering
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    • v.14 no.1
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    • pp.19-27
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    • 2018
  • It follows from the basic principles of mechanics of deformable solids relating to the strength, stability and propagation of elastic waves that the Earth's inner core cannot exist in the form of a spherical structure in the assumed thermobaric conditions and calculation values of physico-mechanical parameters. Pressure level reaches a value that is significantly greater than the theoretical limit of medium strength in the model approximations at the surface of the sphere of the inner core. On the other hand, equilibrium state of the sphere is unstable on the geometric forming at much lower loads under the influence of the "dead" surface loads. In case of the action of "follower" loads, the assumed pressure value on the surface of the sphere is comparable with the value of the critical load of "internal" instability. In these cases, due to the instability of the equilibrium state, propagation of homogeneous deformations becomes uneven in the sphere. Moreover, the elastic waves with actual velocity cannot propagate in such conditions in solid medium. Violation of these fundamental conditions of mechanics required in determining the physical and mechanical properties of the medium should be taken into account in the integrated interpretations of seismic and laboratory (experimental) data. In this case, application of the linear theory of elasticity and elastic waves does not ensure the reliability of results on the structure and composition of the Earth's core despite compliance with the required integral conditions on the mass, moment of inertia and natural oscillations of the Earth.

FATIGUE SIMULATION OF POWER TRAIN COMPONENTS DURING THE DESIGN PROCESS

  • Steiner, W.;Steinwender, G.;Unger, B.
    • International Journal of Automotive Technology
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    • v.2 no.1
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    • pp.9-16
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    • 2001
  • The lifetime of power train components can be improved dramatically by finding crack initiation points with suitable software tools and optimization of the critical areas. With increasing capacities of computers the prediction of the lifetime for components by numerical methods gets more and more important. This paper discusses some applications of the outstanding fatigue simulation program FEMFAT supporting the assessment of uniaxially and multiaxially loaded components (as well as welding seams and spot joints). The theory applied in FEMFAT differs in some aspects from classical approaches like the nominal stress concept or the local one and can be characterized by the term "influence parameter method". The specimen S/N-curve is locally modified by different influence parameters as stress-gradient to take into account notch effects, mean-stress influence which is quantified by means of a Haigh-diagram, surface roughness and treatments, temperature, technological size, etc. It is possible to consider plastic deformations resulting in mean-stress rearrangements. The dynamic loading of power train components is very often multiaxial, e.g. the stress state at each time is not proportional to one single stress state. Hence, the directions of the principal axes vary with time. We will present the way how such complex load situations can be handled with FEMFAT by the examples of a crank case and a gear box.

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ON THE TREATMENT OF DUCTILE FRACTURE BY THE LOCAL APPROACH CONCEPT IN CONTINUUM DAMAGE MECHANICS : THEORY AND EXAMPLE

  • Kim, Seoung-Jo;Kim, Jin-Hee;Kim, Wie-Dae
    • Journal of Theoretical and Applied Mechanics
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    • v.2 no.1
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    • pp.31-50
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    • 1996
  • In this paper, a finite element analysis based on the local approach concept to fracture in the continuum damage mechanics is performed to analyze ductile fracture in two dimensional quasi-static state. First an isotropic damage model based on the generalized concept of effective stress is proposed for structural materials in the context of large deformation. In this model, the stiffness degradation is taken as a measure of damage and so, the fracture phenomenon can be explained as the critical deterioration of stiffness at a material point. The modified Riks' continuation technique is used to solve incremental iterative equations. Crack propagation is achieved by removing critically damaged elements. The mesh size sensitivity analysis and the simulation of the well known shearing mode failure in plane strain state are carried out to verify the present formulation. As numerical examples, an edge cracked plate and the specimen with a circular hole under plane stress are taken. Load-displacement curves and successively fractured shapes are shown. From the results, it can be concluded that the proposed model based on the local approach concept in the continuum damage mechanics may be stated as a reasonable tool to explain ductile fracture initiation and crack propagation.

Dynamic Characteristics of Cross-Ply Laminated Shells (CROSS-PLY 적층쉘의 동적특성에 관한 최적화 설계 연구)

  • Park, Sungjin
    • Journal of the Society of Disaster Information
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    • v.11 no.4
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    • pp.527-533
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    • 2015
  • A simplified method for the calculation of dynamic characteristics of initially stressed antisymmetric cross-ply laminated shells is presented in this paper using the natural frequencies under unloading state. The equation of motion of laminated shell with two opposite edges simply supported is investigated on the basis of Rayleigh-Ritz method and Mindlin shell theory with effect of the curvature term. The relationships of the non-dimensional natural frequencies with initial stresses the coeffcients of critical buckling and the boundaries of te dynamic principal instability region can be characterized by the non-dimensional natureal frequencies under unloading state. Numerical examples are presented t verify the simplified equations and to illustrate potential applications of the analysis.

A Study on the Design of Liquid Flow Control Valves for the Plants and Ships (플랜트 및 선박의 액체용 유량제어밸브 설계에 관한 연구(I))

  • 최순호;박천태
    • Journal of Advanced Marine Engineering and Technology
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    • v.19 no.1
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    • pp.28-35
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    • 1995
  • The fluid flow for a energy transfer is essential for the design and operation of power plants, petrochemical plants and ships including a process. When the operating conditions of a plant are changed or any transitional event occured, the flow controls of a fluid must be performed to follow the new operating state or mitigate the results of a event. Generally these flow controls to accommodate the new operating state of a plant are made by the use of various valves. The refore the design of valves and the related techniques are very important to the system and component designs. However the system and component design are not familiar with the practical theory of the valve since the derivative procedures of the flow equations in a valve are difficult and it is not easy to found the theoretical foundamentals and informations about the design of a valve from the present references. In this study the flow equations applicable to a valve for liquid are theoretically derived in detail. And the definition of valve reynolds number and its boundary values between the tubulent and laminar flow is described compared with the values of a circular pipe flow.

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Predicting the Young's modulus of frozen sand using machine learning approaches: State-of-the-art review

  • Reza Sarkhani Benemaran;Mahzad Esmaeili-Falak
    • Geomechanics and Engineering
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    • v.34 no.5
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    • pp.507-527
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    • 2023
  • Accurately estimation of the geo-mechanical parameters in Artificial Ground Freezing (AGF) is a most important scientific topic in soil improvement and geotechnical engineering. In order for this, one way is using classical and conventional constitutive models based on different theories like critical state theory, Hooke's law, and so on, which are time-consuming, costly, and troublous. The others are the application of artificial intelligence (AI) techniques to predict considered parameters and behaviors accurately. This study presents a comprehensive data-mining-based model for predicting the Young's Modulus of frozen sand under the triaxial test. For this aim, several single and hybrid models were considered including additive regression, bagging, M5-Rules, M5P, random forests (RF), support vector regression (SVR), locally weighted linear (LWL), gaussian process regression (GPR), and multi-layered perceptron neural network (MLP). In the present study, cell pressure, strain rate, temperature, time, and strain were considered as the input variables, where the Young's Modulus was recognized as target. The results showed that all selected single and hybrid predicting models have acceptable agreement with measured experimental results. Especially, hybrid Additive Regression-Gaussian Process Regression and Bagging-Gaussian Process Regression have the best accuracy based on Model performance assessment criteria.

Development of Failure Criterion of Hot Mix Asphalt Using Triaxial Shear Strength Test (삼축압축시험을 이용한 아스팔트 혼합물의 파괴기준 개발)

  • Kim, Seong Kyum;Lee, Kwan Ho
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.34 no.3
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    • pp.947-954
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    • 2014
  • In general, Fracture of the material is not occurring of the maximum normal stress or the maximum shear stress failure in the state. Maximum normal stress and maximum shear stress in the state of Critical coupling from being destroyed based on the Mohr-Coulomb theory. Couple of different mixtures, including permeable asphalt pavement, SMA and dense-graded asphalt mixture, were used for compression triaxial test at $45^{\circ}C$ and $60^{\circ}C$. Mohr-Coulomb theory to the analysis of compression triaxial test result of the internal friction angle $38.9^{\circ}{\sim}46.9^{\circ}$ measured somewhat irregularly, but in the case of cohesion, depending on whether the temperature and immersion of the specimen appeared differently. In addition, Indirect tensile test and compression triaxial test of the asphalt mixture to determine the correlation between compression triaxial test results assessed as cohesion and internal friction angle calculated using the theoretical Indirect tensile strength and measured indirectly tensile strength were analyzed. The Measured & Predicted IDT St values tended to be proportional.

German Historicism, Positive Historical Science and the Establishment of Archival System of the 19th Century: Ranke, Sybel, Lehmann and the Principle of Provenance/Original Order (19세기 독일의 역사주의 실증사학과 기록관리 제도의 정립: 랑케, 지벨 그리고 레만과 출처주의/ 원질서 원칙)

  • Noh, Meung-Hoan
    • The Korean Journal of Archival Studies
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    • no.14
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    • pp.359-388
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    • 2006
  • This article shows how the tradition of German historicism and positive historical science contributed to the establishment of German archival system, especially the principle of provenance and original order. The theory of historicism focused on the recognition and realization of the individuality of the history as a whole unit which is made up of the mutually and organically organized cultural entities. The theory of historicism as this kind of world view got its academic basis from the methodology of the positive historical science, namely the critical reviews on the archival sources which exist in mutually and organically organized record entities. In this context, the scholars of the historicism saw the establishment of the efficient archival systems as necessary. To some great degree, the emergence of the principle of the provenance and original order was its logical result. The author of this paper tried to highlight this point of view historically, on the basis of the activities of Ranke, Sybel and Lehmann around and in the Prussia Privy State Archives throughout the 19th century.

Structural Analysis of e-Government in India

  • Basettihalli, Rangamani;Kim, Hee-Woong;Lee, Hyun-Lyung;Noh, Seung-Eui
    • Asia pacific journal of information systems
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    • v.20 no.2
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    • pp.1-21
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    • 2010
  • e-Government is an innovative phenomenon around the globe for refurbishing public administration. Research to date, however, has been deficient in empirical studies of the factors that emerge out of the interplay of structure and human interactions responsible for successful implementation of e-Government projects. From the perspective of structuration theory, this study examines and explains the impact of this interplay in the implementation of an e-Government system, eSeva for local administration at one of the Indian state, The results suggest that the success of implementation of e-Government projects can be conceptualized as the outcome of persisting constructive interrelationships among the human, programmatic and institutional elements of e-Government and the critical learning and adaptation as a result of efforts at the structuration level.

Corrections for effects of biaxial stresses in annealed glass

  • Nurhuda, Ilham;Lam, Nelson T.K.;Gad, Emad F.;Calderone, Ignatius
    • Structural Engineering and Mechanics
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    • v.39 no.3
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    • pp.303-316
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    • 2011
  • Experimental tests have shown that glass exhibits very different strengths when tested under biaxial and uniaxial conditions. This paper presents a study on the effects of biaxial stresses on the notional ultimate strength of glass. The study involved applying the theory of elasticity and finite element analysis of the Griffith flaw in the micro scale. The strain intensity at the tip of the critical flaw is used as the main criterion for defining the limit state of fracture in glass. A simple and robust relationship between the maximum principal stress and the uniaxial stress to cause failure of the same glass specimen has been developed. The relationship has been used for evaluating the strength values of both new and old annealed glass panels. The characteristic strength values determined in accordance with the test results based on 5% of exceedance are compared with provisions in the ASTM standard.