• 제목/요약/키워드: power law formulation

검색결과 82건 처리시간 0.019초

Spherical Indentation 실험을 이용한 재료 소성 물성치 측정방법 (A Method of Measuring the Plastic Properties of Materials using Spherical Indentation)

  • 이광하;강윤식;;박대효
    • 한국전산구조공학회논문집
    • /
    • 제23권4호
    • /
    • pp.353-360
    • /
    • 2010
  • 본 논문에서는 단 한번 만의 간단한 구형 인덴테이션 임프레션 실험을 통하여 재료 소성 물성치를 측정함에 있어서 효율적인 알고리즘이 개발되었다. 본 논문에서는 레프리젠터티브 스트레인의 새로운 정의를 기반으로 연구가 수행되어 예전의 연구와 비교할 때 상당한 량의 피팅 매개변수의 개수를 줄이게 됨으로서 계산 량이 대폭 줄어들면서 연구가 쉽게 진행될 수 있었다. 또한 레프리젠터티브 스트레인에 대한 새로운 정의는 보다 명확한 물리적 임의를 부여하였다. 역 해석의 신뢰성을 증명하기 위하여 본 논문에서는 거의 모든 공학적 금속과 합금이 포함되는 재료 세트들을 사용하여 해석을 진행하였다. 수치 해석 모델링을 통하여 얻은 P-${\delta}$ 그래프를 바탕으로 하여 인덴테이션 반응 특성과 재료의 탄소성 물성치가 양 함수에 의하여 연계되었고, 역 해석방법을 적용시켜 재료의 항복응력과 power-law 경화 지수가 얻어진다. 마지막으로, 역 해석을 통하여 얻어진 재료 물성 치와 실제 실험을 통하여 얻어진 재료 물성치가 좋은 일치성을 가진다는 것을 보여준다.

Shear correction factors of a new exponential functionally graded porous beams

  • Mohammed Sid Ahmed Houari;Aicha Bessaim;Tarek Merzouki;AhmedAmine Daikh;Aman Garg;Abdelouahed Tounsi;Mohamed A. Eltaher;Mohamed-Ouejdi Belarbi
    • Structural Engineering and Mechanics
    • /
    • 제89권1호
    • /
    • pp.1-11
    • /
    • 2024
  • This article introduces a novel analytical model for examining the impact of porosity on shear correction factors (SCFs) in functionally graded porous beams (FGPB). The study employs uneven and logarithmic-uneven modified porosity-dependent power-law functions, which are distributed throughout the thickness of the FGP beams. Additionally, a modified exponential-power law function is used to estimate the effective mechanical properties of functionally graded porous beams. The correction factor plays a crucial role in this analysis as it appears as a coefficient in the expression for the transverse shear stress resultant. It compensatesfor the assumption that the shear strain is uniform across the depth of the cross-section. By applying the energy equivalence principle, a general expression for static SCFs in FGPBs is derived. The resulting expression aligns with the findings obtained from Reissner's analysis, particularly when transitioning from the two-dimensional case (plate) to the one-dimensional case (beam). The article presents a convenient algebraic form of the solution and provides new case studies to demonstrate the practicality of the proposed formulation. Numerical results are also presented to illustrate the influence of porosity distribution on SCFs for different types of FGPBs. Furthermore, the article validates the numerical consistency of the mechanical property changesin FG beams without porosity and the SCF by comparing them with available results.

Theoretical and Experimental Analysis of Extremely Low Frequency Magnetic Field in the Vicinity of the Transformer Station of Overhead Power Lines

  • Ghnimi, Said;Rajhi, Adnen;Gharsallah, Ali;Bizid, Youssef
    • Journal of Electrical Engineering and Technology
    • /
    • 제13권4호
    • /
    • pp.1655-1662
    • /
    • 2018
  • This paper studies the magnetic fields between the power lines which are finite length and other ones which are infinitely long around the first tower in the proximity of the power transformers. They will be used as a source of disturbance applied to the power line. The method applied in this study was gradual; develop the theoretical formulation of the magnetic fields of these lines which are finite length and other ones which are infinitely long, examine the effects of different couplings between the different neighboring lines and the distribution transformers on behavior of magnetic fields. The method also focused on the experimental results analyzing the magnetic fields which will be used as a source applied to the auditory implants EMC. The theoretical and experimental results were compared and discussed for three power lines (90kV, 150kV and 225kV) near the power station, and it proved the effect of these substations on the simulated and measured results of the magnetic field. The maximum intensities of magnetic fields measured at the height of 1m from the ground for the circuit of three lines close to each substation were significantly lower than the ICNIRP reference levels for occupational and non occupational exposures.

Fuzzy Syntactic Pattern Recognition Approach for Extracting and Classifying Flaw Patterns from and Eddy-Current Signal Waveform

  • Kang, Soon-Ju
    • Journal of Electrical Engineering and information Science
    • /
    • 제2권4호
    • /
    • pp.59-65
    • /
    • 1997
  • In this paper, a general fuzzy syntactic method for recognition of flaw patterns and for the measurement of flaw characteristic parameters for a non-destructive inspections signal, called eddy-current, is presented. Solutions are given to the subtasks of primitive pattern selection, signal to symbol transformation, pattern grammar formulation, and event-synchronous flaw pattern extraction based on the grammars. Fuzzy attribute grammars are used as the model for the pattern grammar because of their descriptive power in the face of uncertain constraints caused by nose or distortion in the signal waveform, due to their ability to handle syntactic as well as semantic information. This approach has been implemented and the performance of eh resultant system has been evaluated using a library of law patterns obtained from steam generator tubes in nuclear power plants by an eddy current-based non-destructive inspection method.

  • PDF

A Two-dimensional Steady State Simulation Study on the Radio Frequency Inductively Coupled Argon Plasma

  • Lee, Ho-Jun;Kim, Dong-Hyun;Park, Chung-Hoo
    • KIEE International Transactions on Electrophysics and Applications
    • /
    • 제2C권5호
    • /
    • pp.246-252
    • /
    • 2002
  • Two-dimensional steady state simulations of planar type radio frequency inductively coupled plasma (RFICP) have been performed. The characteristics of RFICP were investigated in terms of power transfer efficiency, equivalent circuit analysis, spatial distribution of plasma density and electron temperature. Plasma density and electron temperature were determined from the equations of ambipolar diffusion and energy conservation. Joule heating, ionization, excitation and elastic collision loss were included as the source terms of the electron energy equation. The electromagnetic field was calculated from the vector potential formulation of ampere's law. The peak electron temperature decreases from about 4eV to 2eV as pressure increases from 5 mTorr to 100 mTorr. The peak density increases with increasing pressure. Electron temperatures at the center of the chamber are almost independent of input power and electron densities linearly increase with power level. The results agree well with theoretical analysis and experimental results. A single turn, edge feeding antenna configuration shows better density uniformity than a four-turn antenna system at relatively low pressure conditions. The thickness of the dielectric window should be minimized to reduce power loss. The equivalent resistance of the system increases with both power and pressure, which reflects the improvement of power transfer efficiency.

Free vibration of tapered BFGM beams using an efficient shear deformable finite element model

  • Nguyen, Dinh Kien;Tran, Thi Thom
    • Steel and Composite Structures
    • /
    • 제29권3호
    • /
    • pp.363-377
    • /
    • 2018
  • An efficient and free of shear locking finite element model is developed and employed to study free vibration of tapered bidirectional functionally graded material (BFGM) beams. The beam material is assumed to be formed from four distinct constituent materials whose volume fraction continuously varies along the longitudinal and thickness directions by power-law functions. The finite element formulation based on the first-order shear deformation theory is derived by using hierarchical functions to interpolate the displacement field. In order to improve efficiency and accuracy of the formulation, the shear strain is constrained to constant and the exact variation of the cross-sectional profile is employed to compute the element stiffness and mass matrices. A comprehensive parametric study is carried out to highlight the influence of the material distribution, the taper and aspect ratios as well as the boundary conditions on the vibration characteristics. Numerical investigation reveals that the proposed model is efficient, and it is capable to evaluate the natural frequencies of BFGM beams by using a small number of the elements. It is also shown that the effect of the taper ratio on the fundamental frequency of the BFGM beams is significantly influenced by the boundary conditions. The present results are of benefit to optimum design of tapered FGM beam structures.

On post-buckling characteristics of functionally graded smart magneto-electro-elastic nanoscale shells

  • Asrari, Reza;Ebrahimi, Farzad;Kheirikhah, Mohammad Mahdi
    • Advances in nano research
    • /
    • 제9권1호
    • /
    • pp.33-45
    • /
    • 2020
  • Geometrically nonlinear buckling of functionally graded magneto-electro-elastic (FG-MEE) nanoshells with the use of classical shell theory and nonlocal strain gradient theory (NSGT) has been analyzed in present research. Mathematical formulation based on NSGT gives two scale coefficients for simultaneous description of structural stiffness reduction and increment. Functional gradation of material properties is described based on power-law formulation. The nanoshell is under a multi-physical field related to applied voltage, magnetic potential, and mechanical load. Exerting a strong electric voltage, magnetic potential or mechanical load may lead to buckling of nanoshell. Taking into account geometric nonlinearity effects after buckling, the behavior of nanoshell in post-buckling regime can be analyzed. Nonlinear governing equations are reduced to ordinary equations utilizing Galerkin's approach and post-buckling curves are obtained based on an analytical procedure. It will be shown that post-buckling curves are dependent on nonlocal/strain gradient parameters, electric voltage magnitude and sign, magnetic potential magnitude and sign and material gradation exponent.

Thermo-mechanical postbuckling of symmetric S-FGM plates resting on Pasternak elastic foundations using hyperbolic shear deformation theory

  • Chikh, Abdelbaki;Bakora, Ahmed;Heireche, Houari;Houari, Mohammed Sid Ahmed;Tounsi, Abdelouahed;Bedia, E.A. Adda
    • Structural Engineering and Mechanics
    • /
    • 제57권4호
    • /
    • pp.617-639
    • /
    • 2016
  • In this work, an analytical formulation based on both hyperbolic shear deformation theory and stress function, is presented to study the nonlinear post-buckling response of symmetric functionally graded plates supported by elastic foundations and subjected to in-plane compressive, thermal and thermo-mechanical loads. Elastic properties of material are based on sigmoid power law and varying across the thickness of the plate (S-FGM). In the present formulation, Von Karman nonlinearity and initial geometrical imperfection of plate are also taken into account. By utilizing Galerkin procedure, closed-form expressions of buckling loads and post-buckling equilibrium paths for simply supported plates are obtained. The effects of different parameters such as material and geometrical characteristics, temperature, boundary conditions, foundation stiffness and imperfection on the mechanical and thermal buckling and post-buckling loading capacity of the S-FGM plates are investigated.

Large amplitude free vibrations of FGM shallow curved tubes in thermal environment

  • Babaei, Hadi;Kiani, Yaser;Eslami, M. Reza
    • Smart Structures and Systems
    • /
    • 제25권6호
    • /
    • pp.693-705
    • /
    • 2020
  • In the current investigation, large amplitude free vibration behavior of shallow curved pipes (tubes) made of functionally graded materials is investigated. Properties of the tube are distributed across the radius of the tube and are obtained by means of a power law function. It is also assumed that all thermo-mechanical properties are temperature dependent. The governing equations of the tube are obtained using a higher order shear deformation tube theory, where the traction free boundary conditions are satisfied on the top and bottom surfaces of the tube. The von Kármán type of geometrical non-linearity is included into the formulation to consider the large displacements and small strains. Uniform temperature elevation of the tube is also included into the formulation. For the case of tubes which are simply supported in flexure and axially immovable, the governing equations are solved using the two-step perturbation technique. Closed form expressions are provided to obtain the small and large amplitude fundamental natural frequencies of the FGM shallow curved tubes in thermal environment. Numerical results are given to explore the effects of thermal environment, radius ratio, and length to thickness ratio of the tube on the fundamental linear and non-linear frequencies.

Mechanical analysis of functionally graded spherical panel resting on elastic foundation under external pressure

  • Cao, Yan;Qian, Xueming;Fan, Qingming;Ebrahimi, Farbod
    • Structural Engineering and Mechanics
    • /
    • 제74권2호
    • /
    • pp.297-311
    • /
    • 2020
  • The main purpose of this study is to analyze the effects of external pressure on the vibration and buckling of functionally graded (FG) spherical panels resting of elastic medium. The material characteristics of the FG sphere continuously vary through the thickness direction based on the power-law rule. In accordance with first-order shear deformation shell theory and by the use of Ritz formulation the governing equations are presented. In this regard, the beam functions are applied in two-dimensions for different sets of boundary supports. The Winkler and Pasternak models of elastic foundations are also taken into account. In order to show the validity and applicability of the presented formulation, various comparison studies are given. Furthermore, a diverse range of numerical results is reported to check the impacts of geometrical and material parameters along with external pressure on the vibration and buckling analysis of FG spherical panels.