• Title/Summary/Keyword: Orthotropic material

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Tension Stiffening Effect in Reinforced Concrete Panels (철근콘크리트 판넬의 인장강화효과)

  • 곽효경;김도연
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1998.10a
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    • pp.141-148
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    • 1998
  • An analytical model which can simulate the post-cracking behavior of reinforced concrete structures subjected to in-plane shear and normal stresses is presented. Based on the force equilibriums, compatibility conditions, and bond stress-slip relationship between steel and concrete, a criterion to simulate consider the tension-stiffening effect is proposed. The material behavior of concrete is described by an orthotropic constitutive model, and focused on the tension-compression region with tension-stiffening and compression softening effects defining equivalent uniaxial relations in the axes of orthotropy. Correlation studies between analytical results and available experimental data are conducted with the objective to establish the validity of the proposed model.

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Anisotropic Constitutive Model at Large Viscoplastic Deformations (탄소성 대변형에 관한 비등방 구성방정식)

  • Cho, Han-Wook
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1995.10a
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    • pp.178-184
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    • 1995
  • A new combined isotropic/kinematic and orthotropic hardening viscoplastic model is proposed which can account for not only differential orientations but also preferred orientations of grains in n metal at finite plastic deformations with an introduction of multiple spin (rate of rotation) concept within the general framework of the model, the effects of anisotropy and constitutive spins will be discussed in conjunction with a closed-form solution for simple shear in n rigid-plastic material, which will be used to simulate experimental data of Montheillet, et al. (1984) for fixed-end tortion tests at finite plastic deformations.

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Material Property Characterization Method and Experimental Measurement of the Effective Thermal Conductivities of Woven Fabric Composite Materials (직물 복합재료의 물성치 특성화 기법 및 실험적 계측)

  • Moon, Young-Kyu;Goo, Nam-Seo;Kim, Cheol;Woo, Kyung-Sik
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2001.10a
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    • pp.64-69
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    • 2001
  • In general, laminate effective orthotropic thermal conductivities are dependent on fiber and matrix material properties, fiber volume fraction and fabric geometric parameters. This paper deals with the predicting method of the transverse and the in-plane thermal conductivities of plain weave fabric composites based on the three dimensional series-parallel thermal resistance network. Thermal resistance network was applied to unit cell model that characterizes the periodically repeated pattern of plain weave. Also, an experiment apparatus is setup to measure the thermal conductivities of composite material. The numerical and experimental results of carbon/epoxy plain weave are compared.

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Response of fiber reinforced plastic chimneys to wind loads

  • Awad, A.S.;El Damatty, A.A.;Vickery, B.J.
    • Wind and Structures
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    • v.3 no.2
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    • pp.83-96
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    • 2000
  • Due to their high corrosion and chemical resistance, fiber reinforced plastics (FRP) are becoming widely used as the main structural material for industrial chimneys. However, no national code currently exists for the design of such type of chimneys. The purpose of this study is to investigate analytically the response of FRP chimneys to wind loads. The classical lamination theory is used to substitute the angle-ply laminate of a FRP chimney with an equivalent orthotropic material that provides the same stiffness. Dynamic wind loads are applied to the equivalent chimney to evaluate its response to both along and across wind loads. A parametric study is then conducted to identify the material and geometric parameters affecting the response of FRP chimneys to wind loads. Unlike the across-wind response, the along-wind tip deflection is found to be highly dependent on the angle of orientation of the fibers. In general, the analysis shows that FRP chimneys are very vulnerable to across-wind oscillations resulting from the vortex shedding phenomenon.

Analytical solution of nonlinear cylindrical bending for functionally graded plates

  • Daouadji, Tahar Hassaine;Hadji, Lazreg
    • Geomechanics and Engineering
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    • v.9 no.5
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    • pp.631-644
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    • 2015
  • This article considers the problems of cylindrical bending of functionally graded plates in which material properties vary through the thickness. The variation of the material properties follows two power-law distributions in terms of the volume fractions of constituents. In addition, this paper considers orthotropic materials rather than isotropic materials. The traction-free condition on the top surface is replaced with the condition of uniform load applied on the top surface. Numerical results are presented to show the effect of the material distribution on the deflections and stresses. Results show that, all other parameters remaining the same, the studied quantities (stress, deflection) of P-FGM and E-FGM plates are always proportional to those of homogeneous isotropic plates. Therefore, one can predict the behaviour of P-FGM and E-FGM plates knowing that of similar homogeneous plates.

Application of Method of Caustics to Cracks in Pseudo-Isotropic Materials( I ) (의사등방성재료내 균열에 대한 코스틱스방법의 적용(I))

  • 백명철;조상봉;최선호
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.3
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    • pp.944-953
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    • 1991
  • 본 연구에서는 일반적인 이방성재료에 대한 코스틱방법의 적용을 검토하는 일 환으로서, 직교이방성재료중 특성방정식의 근이 동일함으로 인하여 균열의 응력장이 특이성을 갖게 되고, 따라서 지금까지는 코스틱법의 적용이 어려웠던 재료(의사등방성 재료)에 대하여, 코스틱상 및 초기곡선의 식을 이론적으로 구하였고, 이 식을 예상되 는 여러가지 경계조건 하에서 컴퓨터 그래픽(computer graphic)으로 가시화하여, 시편 제작의 어려움으로 인하여 실험이 곤란한 의사등방성재료의 코스틱상을 예시하였으며, 또 이들 재료에 대한 응력확대계수 산출법을 제시함과 동시에 이 산출법이 등방성 재 료 및 일반적 직교이방성재료에도 사용가능함을 밝혀 다음 제2부에서 실험을 통하여 검증되도록 하였다.

General equations for free vibrations of thick doubly curved sandwich panels with compressible and incompressible core using higher order shear deformation theory

  • Nasihatgozar, M.;Khalili, S.M.R.;Fard, K. Malekzadeh
    • Steel and Composite Structures
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    • v.24 no.2
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    • pp.151-176
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    • 2017
  • This paper deals with general equations of motion for free vibration analysis response of thick three-layer doubly curved sandwich panels (DCSP) under simply supported boundary conditions (BCs) using higher order shear deformation theory. In this model, the face sheets are orthotropic laminated composite that follow the first order shear deformation theory (FSDT) based on Rissners-Mindlin (RM) kinematics field. The core is made of orthotropic material and its in-plane transverse displacements are modeled using the third order of the Taylor's series extension. It provides the potentiality for considering both compressible and incompressible cores. To find these equations and boundary conditions, Hamilton's principle is used. Also, the effect of trapezoidal shape factor for cross-section of curved panel element ($1{\pm}z/R$) is considered. The natural frequency parameters of DCSP are obtained using Galerkin Method. Convergence studies are performed with the appropriate formulas in general form for three-layer sandwich plate, cylindrical and spherical shells (both deep and shallow). The influences of core stiffness, ratio of core to face sheets thickness and radii of curvatures are investigated. Finally, for the first time, an optimum range for the core to face sheet stiffness ratio by considering the existence of in-plane stress which significantly affects the natural frequencies of DCSP are presented.

Analysis of cracks emanating from a circular hole in an orthotropic infinite plate (直交 異方性 無限平版 內部의 圓孔周圍 龜裂 解析)

  • 정성균;홍창선
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.11 no.6
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    • pp.895-903
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    • 1987
  • This paper investigates the problem of cracks emanating from a circular hole in an orthotropic infinite plate. The mixed-mode stress intensity factors are obtained by using the modified mapping-collocation method. To investigate the effect of anisotropy and circular hole boundary on crack tip singularity, stress intensity factors are considered as functions of the normalized crack length for various types of laminated composite. The results indicate a strong dependence of the stress intensity factor on the material anisotropy and geometry.

Identification of the Structural Damages in a Cylindrical Shell (원통형 셸에 발생한 구조손상의 규명)

  • Kim, Sung-Hwan;Lee, U-Sik
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.12 s.243
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    • pp.1586-1596
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    • 2005
  • In this paper, a structural damage identification method (SDIM) is developed to identify the line crack-like directional damages generated within a cylindrical shell. First, the equations of motion for a damaged cylindrical shell are derived. Based on a theory of continuum damage mechanics, a small material volume containing a directional damage is represented by the effective orthotropic elastic stiffness, which is dependent of the size and the orientation of the damage with respect to the global coordinates. The present SDIM is then derived from the frequency response function (FRF) directly solved from the equations of motion of a damaged shell. In contrast with most existing SDIMs which require the modal parameters measured in both intact and damaged states, the present SDIM may require only the FRF-data measured at damaged state. By virtue of utilizing FRF-data, one may choose as many sets of excitation frequency and FRF measurement point as needed to acquire a sufficient number of equations for damage identification analysis. The numerically simulated damage identification tests are conducted to study the feasibility of the present SDIM.

Comparison of different cylindrical shell theories for stability of nanocomposite piezoelectric separators containing rotating fluid considering structural damping

  • Pour, H. Rahimi;Arani, A. Ghorbanpour;Sheikhzadeh, G.A.
    • Steel and Composite Structures
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    • v.23 no.6
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    • pp.691-714
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    • 2017
  • Rotating fluid induced vibration and instability of embedded piezoelectric nano-composite separators subjected to magnetic and electric fields is the main contribution of present work. The separator is modeled with cylindrical shell element and the structural damping effects are considered by Kelvin-Voigt model. Single-walled carbon nanotubes (SWCNTs) are used as reinforcement and effective material properties are obtained by mixture rule. The perturbation velocity potential in conjunction with the linearized Bernoulli formula is used for describing the rotating fluid motion. The orthotropic surrounding elastic medium is considered by spring, damper and shear constants. The governing equations are derived on the bases of classical shell theory (CST), first order shear deformation theory (FSDT) and sinusoidal shear deformation theory (SSDT). The nonlinear frequency and critical angular fluid velocity are calculated by differential quadrature method (DQM). The detailed parametric study is conducted, focusing on the combined effects of the external voltage, magnetic field, visco-Pasternak foundation, structural damping and volume percent of SWCNTs on the stability of structure. The numerical results are validated with other published works as well as comparing results obtained by three theories. Numerical results indicate that with increasing volume fraction of SWCNTs, the frequency and critical angular fluid velocity are increased.