• Title/Summary/Keyword: continuity theory

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A Simple Modification of the First-order Shear Deformation Theory for the Analysis of Composite Laminated Structures (복합적층구조해석을 위한 1차전단변형이론의 간단한 수정방안)

  • Chun, Kyoung-Sik;Ji, Hyo-Seon
    • Journal of Korean Society of Steel Construction
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    • v.23 no.4
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    • pp.475-481
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    • 2011
  • In this study, a simplified method of improving not only transverse shear stress but also shear strain based on the first-order shear deformation theory was developed. Unlike many established methods, such as the higher-order shear deformation and layerwise theories, this method can easily apply to finite elements as only $C^0$ continuity is necessary and the formulation of equations is very simple. The basic concept in this method, however, must be corrected:the distribution of the transverse shear stresses and shear strains through the thickness from the formulation based on the higher-order shear deformation theory. Therefore, the shear correction factors are no longer required, based on the first-order shear deformation theory. Numerical analyses were conducted to verify the validity of the proposed formulations. The solutions based on the simplified method were in very good agreement with the results considering the higher-order shear deformation theory.

Composite Finite Element Analysis of Axisymmetric Layered Systems (축대칭 층구조체의 복합이론 및 유한요소해석프로그램의 개발)

  • Lim, Chong Kyun;Park, Moon Ho;Kim, Jin Kyu
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.1
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    • pp.29-38
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    • 1994
  • Linear composite theory as well as a finite element program is developed for axisymmetric elastomeric bearings. This study is limited to axisymmetrically loaded horizontal layered systems with linear, elastic, small' deformation conditions. A multiscale method is used in the development of the composite theory which enables us to model inhomogeneous layered composites as equivalent homogeneous, orthotropic material. Only continuity of the prime variables is required for the finite element analysis, allowing the use of simple $C_o$ elements whereas rather complicated theories presented in the past need more requirements. Four node isoparametric elements are used in the study. The developed theory of this paper is limited to linear conditions, however, the analysis can be extended to nonlinear behavior of flexible material in elastomeric bearing by using multiscale method presented here. Two numerical examples are examined and compared to the results of discrete and previously obtained composite analysis to verify the theory.

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The Real Nature of "Chomskyan Revolution" ("촘스키혁명"의 실상)

  • Moon, Kyung-Hwan
    • Lingua Humanitatis
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    • v.8
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    • pp.175-198
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    • 2006
  • Quite a few historiographers of language science have measured the applicability of the term 'revolution' toward the line of work initiated by Chomsky, with the conclusion to the positive or negative effect as the case may be. This paper starts out with a brief review of this issue, with an interim conclusion that, while Chomskyan linguistics may be regarded as revolutionary in certain aspects, terms like 'revolution' and 'paradigm' are hardly applicable here in the way they were originally intended by Thomas Kuhn. It can be said, nontechnically, that the model of theory under discussion is at once 'revolutionary' and 'evolutionary' - in the sense that revolutions in linguistics have not resulted in abrupt loss of continuity with past 'paradigms', if there were any such. Chomsky's theory of language plays the same role of consolidation and refinement of structuralism that, say, the neogrmmarians played in their day. It has continued some fundamental traits of its predecessor, recovered others, and unwittingly rediscovered still others. But this is not the main thrust of the present paper. For, even if Chomskyan theory were to be looked upon as straightforwardly 'revolutionary', that revolution has not been a felicitous one. Some critic (Pieter A. M. Seuren, to be specific) goes as far as to say that "largely as a result of Chomsky's actions, linguistics is now sociologically in a very unhealthy state $\cdots$ to the point even of threatening to make that whole school of linguistics intellectually irrelevant." Besides, under the present state of language science that strikes one as typical of what Kuhn has characterized as "pre-paradigmatic" insecurity and disharmony, an unhealthy situation might take place if we were to think of the theoretical disagreements as conflicts between 'incommensurable' viewpoints-between 'rival paradigms' as it were-thereby avoiding or evading rational discussion. Another danger concerns the bandwagon effect, with linguists prematurely boarding each novel theory seemingly destined for popularity, for fear of being left clinging to an outdated 'paradigm.' Here lies another reason why the notion of 'revolution', Kuhnian or not, might as well be put aside, in the historiography of linguistics at the least.

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Higher order zig-zag plate theory for coupled thermo-electric-mechanical smart structures (열-기계-전기 하중 하에서의 지능 복합재 평판 고차이론)

  • Oh, Jin-Ho;Cho, Maeng-Hyo
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.30 no.5
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    • pp.9-14
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    • 2002
  • A higher order zig-zag plate theory is developed to accurately predict fully coupled mechanical, thermal, and electric behaviors. Both the in-plane displacement and temperature fields through the thickness are constructed by superimposing linear zig-zag field to the smooth globally cubic varying field. Smooth parabolic distribution through the thickness is assumed in the transverse deflection in order to consider transverse normal deformation. Linear zig-zag form is adopted in the electric field. The layer-dependent degrees of freedom of displacement and temperature fields are expressed in tern-is of reference primary degrees of freedom by applying interface continuity conditions as well as bounding surface conditions of transverse shear stresses and transverse heat flux. The numerical examples of coupled and uncoupled analysis demonstrate the accuracy and efficiency of the present theory. The present theory is suitable for the predictions of fully coupled behaviors of thick smart composite plate under mechanical, thermal, and electric loadings combined.

Applications of Graph Theory for the Pipe Network Analysis (상수관망해석을 위한 도학의 적용)

  • Park, Jae-Hong;Han, Geon-Yeon
    • Journal of Korea Water Resources Association
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    • v.31 no.4
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    • pp.439-448
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    • 1998
  • There are many methods to calculate steady-state flowrate in a large water distribution system. Linear method which analyzes continuity equations and energy equations simultaneously is most widely used. Though it is theoretically simple, when it is applied to a practical water distribution system, it produces a very sparse coefficient matrix and most of its diagonal elements are to be zero. This sparsity characteristic of coefficient matrix makes it difficult to analyze pipe flow using the linear method. In this study, a graph theory is introduced to water distribution system analysis in order to prevent from producing ill-conditioned coefficient matrix and the technique is developed to produce positive-definite matrix. To test applicability of developed method, this method is applied to 22 pipes and 142 pipes system located nearby Taegu city. The results obtained from these applications show that the method can calculate flowrate effectively without failure in converage. Thus it is expected that the method can analyze steady state flowrate and pressure in pipe network systems efficiently. Keywords : pipe flow analysis, graph theory, linear method.

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Theory for Health for Optimal Fitness in Health Care for High-Risk Children (고위험아동의 건강관리를 위안 최적적응건강이론)

  • Ahn, Young-Mee
    • Child Health Nursing Research
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    • v.15 no.1
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    • pp.42-52
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    • 2009
  • Child is a being and provides the genetic continuity of parents and society, and therefore the fitness of these children for survival, growth and development towards reproduction, is of significance to parents and society. The aim of health care for high-risk children is not only to minimize or eliminate health problems, but also to optimize their fitness. Considering that the health care of children is influenced by available resources of parents and society, and sociocultural values and paradigms in a given environment of evolutionary adaptedness (EEA), child health care professionals need to understand factors affecting the optimal fitness of children with risks. This paper introduces a new integrated theory for health care in high-risk children, entitled, Health for Optimal Fitness of High-Risk Children. Five main components were identified with associate concepts or midrange theories affecting heath for optimal fitness of high-risk children; EEA, optimal fitness, health problems, investment resources, and anthropological values. It may provide an integrated perspective on health of high-risk children in both the proximately biomedical approach and ultimately evolutionary approach as optimizing their fitness. Further study is needed to develop substantial statements between components with existential examples.

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Comparison of Numerical Methods for Two-dimensional Wave Breaker on a Plane Beach of Constant Slope (2차원 Beach에서 쇄파의 시뮬레이션을 위한 수치계산기법의 비교)

  • Jeong K. L.;Lee Y.-G.
    • 한국전산유체공학회:학술대회논문집
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    • 2004.03a
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    • pp.119-125
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    • 2004
  • Unsteady nonlinear wave motions on the free surface over a plane beach of constant slope are numerically simulated using a finite difference method in rectangular grid system. Two-dimensional Navier-Stokes equations and the continuity equation are used for the computations. Irregular leg lengths and stars are employed near the boundaries of body and free surface to satisfy the boundary conditions. Also, the free surface which consists of markers or segments is determined every time step with the satisfaction of kinematic and dynamic free surface conditions. Moreover, marker-density method is also adopted to allow plunging jets impinging on the free surface. The second-order Stokes wave theory and solitary wave theory are employed for the generation of waves on the inflow boundary. For the simulation of wave breaking phenomena, the computations are carried out with the plane beach of constant slope in surf zone. The results are compared with each other. The marker-density method is better then the hybrid method. Also they are compared with other existing experimental results. The Agreement between the experimental data and the computation results is good.

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Flexural analysis of thermally actuated fiber reinforced shape memory polymer composite

  • Tiwari, Nilesh;Shaikh, A.A.
    • Advances in materials Research
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    • v.8 no.4
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    • pp.337-359
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    • 2019
  • Shape Memory Polymer Composites (SMPC) have gained popularity over the last few decades due to its flexible shape memory behaviour over wide range of strains and temperatures. In this paper, non-linear bending analysis has been carried out for SMPC beam under the application of uniformly distributed transverse load (UDL). Simplified C0 continuity Finite Element Method (FEM) based on Higher Order Shear Deformation Theory (HSDT) has been adopted for flexural analysis of SMPC. The numerical solutions are obtained by iterative Newton Raphson method. Material properties of SMPC with Shape Memory Polymer (SMP) as matrix and carbon fibre as reinforcements, have been calculated by theory of volume averaging. Effect of temperature on SMPC has been evaluated for numerous parameters for instance number of layers, aspect ratio, boundary conditions, volume fraction of carbon fiber and laminate stacking orientation. Moreover, deflection profile over unit length and behavior of stresses across thickness are also presented to elaborate the effect of glass transition temperature (Tg). Present study provides detailed explanation on effect of different parameters on the bending of SMPC beam for large strain over a broad span of temperature from 273-373K, which encompasses glass transition region of SMPC.

Dynamic Characteristics of Laminated Composite Structures for High-Performance Disaster Prevention of Gyeongbuk Infrastructures (경북기반시설의 고성능 방재를 위한 복합소재 적층구조의 동적특성)

  • Lee, Sang-Youl
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.13 no.3
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    • pp.1352-1358
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    • 2012
  • The dynamic analysis of delaminated composite structures is carried out based on the higher order plate theory. In the finite element (FE) formulation, the seven degrees of freedom per each node are used with transformations in order to fit the displacement continuity conditions at the delamination region. The boundaries of the instability regions are determined using the method proposed by Bolotin. The numerical results obtained for skew plates are in good agreement with those reported by other investigators. The new results for delaminated skew plate structures in this study mainly show the effect of the interactions between the geometries and other various parameters.

Finite element modeling and bending analysis of piezoelectric sandwich beam with debonded actuators

  • Rao, K. Venkata;Raja, S.;Munikenche, T.
    • Smart Structures and Systems
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    • v.13 no.1
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    • pp.55-80
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    • 2014
  • The present work pays emphasis on investigating the effect of different types of debonding on the bending behaviour of active sandwich beam, consisting of both extension and shear actuators. An active sandwich beam finite element is formulated by using Timoshenko's beam theory, characterized by first order shear deformation for the core and Euler-Bernoulli's beam theory for the top and bottom faces. The problem of debondings of extension actuator and face are dealt with by employing four-region model for inner debonding and three-region model for the edge debonding respectively. Displacement based continuity conditions are enforced at the interfaces of different regions using penalty method. Firstly, piezoelectric actuation of healthy sandwich beam is assessed through deflection analysis. Then the effect of actuators' debondings with different boundary conditions on bending behavior is computationally evaluated and experimentally clamped-free case is validated. The results generated will be useful to address the damage tolerant design procedures for smart sandwich beam structures with structural control and health monitoring applications.