• 제목/요약/키워드: equilibrium modulus

검색결과 55건 처리시간 0.02초

구형석출물을 갖는 무한 고체에 전수압이 가해지는 경우에 대한 탄소성해 (An elasto-plastic solution for infinite solid containing a spherical precipitate under hydrostatic pressure)

  • 최병익;엄윤용
    • 대한기계학회논문집
    • /
    • 제5권2호
    • /
    • pp.122-130
    • /
    • 1981
  • Equation of equilibrium is derived and solved for an infinite isotropic solid under applied hydrostatic stress which is uniform at large distance, and disturbed by a spherical precipitate which has isotropoc elastic constants dirrerent form those of the matrix. A linear strain hardening behavior of the matrix is assumed, and an elasto-plastic sloution is obtained. The difference of the total strain energy stored inthe infinite solid with and without a precipitate is computed, and compared with that for purely elastic case. Finally the effect of the ratio of the bulk modulus of the precipitate to that of the matrix and the effct of linear strain hardening rate on the plastic zone size and the energy difference are discussed.

유럽산 바이올린 용재의 비중과 년륜폭이 소재의 음향적 성질에 미치는 영향 (Effect of specific gravity and annual ring width on the acoustical properties of European lumber used in violin making)

  • 정우양;홍병화
    • 한국가구학회지
    • /
    • 제10권1호
    • /
    • pp.57-63
    • /
    • 1999
  • This study was carried out to analyze the relationship between basic physical properties and acoustical characteristics of imported violin wood and to offer the information on raw material procurement and incoming-material quality control to domestic violin makers which have purchased most raw materials from European exporting countries at high expense. Equilibrium moisture content of European spruce with lower specific gravity after the prolonged storage was rather higher than that of European maple with higher specific gravity. The specific gravity of spruce increased with decreasing annual ring width, however, that of narrower annual ring. Increasement in specific gravity enhanced the dynamic Young's modulus of both wood species, but influenced the vibration energy loss by internal friction differently between two species. For dynamic MOE, qurater-sawn spruce was higher than the flat-sawn, but maple showed the reverse directional characteristics. Consequently, it would be well for violin makers to establish the standard for materials and quality control system to assure the quality of their violin products.

  • PDF

Analysis of non-homogeneous orthotropic plates using EDQM

  • Rajasekaran, S.
    • Structural Engineering and Mechanics
    • /
    • 제61권2호
    • /
    • pp.295-316
    • /
    • 2017
  • Element based differential quadrature method (EDQM) has been applied to analyze static, stability and free vibration of non-homogeneous orthotropic rectangular plates of variable or stepped thickness. The Young's modulus and the density are assumed to vary in exponential form in X-direction whereas the thickness is assumed to vary linear, parabolic or exponential variation in one or two directions. In-plane loading is assumed to vary linearly. Various combinations of clamped, simply supported and free edge conditions (regular and irregular boundary) have been considered. Continuous plates could also be handled with ease. In this paper, formulation for equilibrium, buckling and free vibration problems is discussed and several numerical examples are solved using EDQM and compared with the published results.

다축거동을 고려한 FRP 콘크리트 부재의 층상화 하중-기초 유한요소모델 개발 (Development of Force-Based Fiber Frame Finite Element for FRP Concrete Members with Multi-axial Behaviors)

  • 조창근;하기주;박문호
    • 한국콘크리트학회:학술대회논문집
    • /
    • 한국콘크리트학회 2006년도 춘계학술발표회 논문집(I)
    • /
    • pp.78-81
    • /
    • 2006
  • In the current study, a force-based fiber frame finite element model of FRP concrete structural members has been developed. For compressive behaviors of confined concrete wrapped by FRP jackets, the multiaxial behavior of concrete has been considered with the equivalent tangent modulus of concrete. The behavior of FRP jackets has been modeled using the mechanics of orthotropic laminated composite materials in two-dimensional stress states. The force-based finite element formulation is based on the force-interpolation functions within the element without using the displacement shape functions to satisfy the equilibrium in element levels.

  • PDF

Time dependent service load behaviour of prestressed composite tee beams

  • Uy, Brian
    • Structural Engineering and Mechanics
    • /
    • 제5권3호
    • /
    • pp.307-327
    • /
    • 1997
  • This paper is concerned with the time dependent service load behaviour of prestressed composite tee beams. The effects of creep and shrinkage of the concrete slab are modelled using the age adjusted effective modulus method and a relaxation approach. The tendon strain is determined considering compatibility of deformations and equilibrium of forces between the tendon and the composite tee beam. A parametric study is undertaken to study the influence of various aspects on the stress, strain and deformations of the concrete slab, steel beam and prestressing tendon. The effect of loading type and tendon relaxation has also been considered for various types of prestressing tendon materials. Recommendations are then made in relation to adequate span to depth ratios for varying levels of prestressing force.

Geometrically nonlinear analysis of FG doubly-curved and hyperbolical shells via laminated by new element

  • Rezaiee-Pajand, M.;Masoodi, Amir R.;Arabi, E.
    • Steel and Composite Structures
    • /
    • 제28권3호
    • /
    • pp.389-401
    • /
    • 2018
  • An isoparametric six-node triangular element is utilized for geometrically nonlinear analysis of functionally graded (FG) shells. To overcome the shear and membrane locking, the element is improved by using strain interpolation functions. The Total Lagrangian formulation is employed to include the large displacements and rotations. Finding the nonlinear behavior of FG shells via laminated modeling is also the goal. A power function is employed to formulate the variation of elastic modulus through the thickness of shells. The results are presented in two ways, including the general FGM formulation and the laminated modeling. The equilibrium path is obtained by using the Generalized Displacement Control Method. Some popular benchmarks, including hyperbolical shell structures are solved to declare the correctness and accuracy of proposed formulations.

대규모 지하공동의 파괴거동 예측 및 지반제어를 위한 종합시스템 (Comprehensive Monitoring System for the Prediction of Failure Behavior and the Ground Control of Large Scale Underground Excavation)

    • 터널과지하공간
    • /
    • 제8권2호
    • /
    • pp.130-138
    • /
    • 1998
  • Comprehensive monitoring system for the safe and economical excavation of underground opening has been established by employing the 3 independent models each of which can i) predict the ultimate convergence, ii) assess the in-situ stresses and the elastic modulus of excavating rock, iii) calculate the time-dependent opening behavior with respect to the face advance rate and support pressure at the equilibrium state. Accuracy of each model has been verified through illustrative examples. The step-by-step procedures of comprehensive monitoring system for analyzing the rock behavior and the optimum support installation has been explained. The capability and applicability of this system to the practical excavation also has been discussed.

  • PDF

On thermal stability of plates with functionally graded coefficient of thermal expansion

  • Bousahla, Abdelmoumen Anis;Benyoucef, Samir;Tounsi, Abdelouahed;Mahmoud, S.R.
    • Structural Engineering and Mechanics
    • /
    • 제60권2호
    • /
    • pp.313-335
    • /
    • 2016
  • In this article, a four-variable refined plate theory is presented for buckling analysis of functionally graded plates subjected to uniform, linear and non-linear temperature rises across the thickness direction. The theory accounts for parabolic distribution of the transverse shear strains, and satisfies the zero traction boundary conditions on the surfaces of the plate without using shear correction factor. Young's modulus and Poisson ratio of the FGM plates are assumed to remain constant throughout the entire plate. However, the coefficient of thermal expansion of the FGM plate varies according to a power law form through the thickness coordinate. Equilibrium and stability equations are derived based on the present theory. The influences of many plate parameters on buckling temperature difference such ratio of thermal expansion, aspect ratio, side-to-thickness ratio and gradient index will be investigated.

Analyze of the interfacial stress in reinforced concrete beams strengthened with externally bonded CFRP plate

  • Hadji, Lazreg;Daouadji, T. Hassaine;Meziane, M. Ait Amar;Bedia, E.A. Adda
    • Steel and Composite Structures
    • /
    • 제20권2호
    • /
    • pp.413-429
    • /
    • 2016
  • A theoretical method to predict the interfacial stresses in the adhesive layer of reinforced concrete beams strengthened with externally bonded carbon fiber-reinforced polymer (CFRP) plate is presented. The analysis provides efficient calculations for both shear and normal interfacial stresses in reinforced concrete beams strengthened with composite plates, and accounts for various effects of Poisson's ratio and Young's modulus of adhesive. Such interfacial stresses play a fundamental role in the mechanics of plated beams, because they can produce a sudden and premature failure. The analysis is based on equilibrium and deformations compatibility approach developed by Tounsi. In the present theoretical analysis, the adherend shear deformations are taken into account by assuming a parabolic shear stress through the thickness of both the reinforced concrete beam and bonded plate. The paper is concluded with a summary and recommendations for the design of the strengthened beam.

GFRP Rebar의 적정 인장강도 발현을 위한 정착구 개발에 관한 연구 (A Study on the Development of Grip Adapters for Developing Design Tensile Strength of Glass Fiber Reinforced Polymer Rebar)

  • 박지선;유영찬;박영환;김형열;유영준;김긍환
    • 한국콘크리트학회:학술대회논문집
    • /
    • 한국콘크리트학회 2004년도 추계 학술발표회 제16권2호
    • /
    • pp.797-800
    • /
    • 2004
  • Some test results indicated that the current ASTM grip adapter of GFRP rebar was not successful in developing the design tensile strength of GFRP rebar with reasonable accuracy. It is because the current ASTM grip adapter of GFRP rebar does not take into account the various geometric characteristics of GFRP rebar such as surface treatment, shape of bar cross section, bar deformation as well as physical characteristics such as poisson effect, elastic modulus in the transverse direction and so on. The research reported in this paper is to provide how to proportion an adequate grip adapter to develop design tensile properties of GFRP rebar. The proposed grip adapter is derived from the equilibrium or compatibility equations. From the preliminary test results for rounded GFRP rebar, it was found that the grip adapter with specific size proportioned by proposed method shows the highest tensile strength among them.

  • PDF