• 제목/요약/키워드: Elastic Shear Modulus

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고무부품의 유한요소해석을 위한 재료시험 및 비선형 재료물성에 관한 연구 (Mechanical Testing and Nonlinear Material Properties for Finite Element Analysis of Rubber Components)

  • 김완두;김완수;김동진;우창수;이학주
    • 대한기계학회논문집A
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    • 제28권6호
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    • pp.848-859
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    • 2004
  • Mechanical testing methods to determine the material constants for large deformation nonlinear finite element analysis were demonstrated for natural rubber. Uniaxial tension, uniaxial compression, equi-biaxial tension and pure shear tests of rubber specimens are performed to achieve the stress-strain curves. The stress-strain curves are obtained after between 5 and 10 cycles to consider the Mullins effect. Mooney and Ogden strain-energy density functions, which are typical form of the hyperelastic material, are determined and compared with each other. The material constants using only uniaxial tension data are about 20% higher than those obtained by any other test data set. The experimental equations of shear elastic modulus on the hardness and maximum strain are presented using multiple regression method. Large deformation finite element analysis of automotive transmission mount using different material constants is performed and the load-displacement curves are compared with experiments. The selection of material constant in large deformation finite element analysis depend on the strain level of component in service.

스펙트럴유한요소법을 적용한 점탄성층 샌드위치평판의 진동해석 (Applications of Spectral Finite Element Method for Vibration Analysis of Sandwich Plate with Viscoelastic Core)

  • 이성주;송지훈;홍석윤
    • 대한조선학회논문집
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    • 제46권2호
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    • pp.155-164
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    • 2009
  • In this paper, a spectral finite element method for a rectangular sandwich plate with viscoelastic core having the Levy-type boundary conditions has been plated. The sandwich plate consists of two isotropic and elastic face plates with a surfaced-bonded viscoelastic core. For the analysis, the in-plane and transverse energy in the face plates and only shear energy in the core are considered, respectively. To account for the frequency dependent complex shear modulus of the viscoelastic core, the Golla-Hughes-McTavish model is adopted. To evaluate the validity and accuracy of the proposed method, the frequency response function and dynamic responses of the sandwich plate with all edges simply supported subject to an impact load are calculated and compared with those calculated by a finite element method. Though these calculations, it is confirmed that the proposed method is very reliable and efficient one for vibration analysis of a rectangular sandwich plate with viscoelastic core having the Levy-type boundary conditions.

Effect of porosity in interfacial stress analysis of perfect FGM beams reinforced with a porous functionally graded materials plate

  • Rabia, Benferhat;Daouadji, Tahar Hassaine;Abderezak, Rabahi
    • Structural Engineering and Mechanics
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    • 제72권3호
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    • pp.293-304
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    • 2019
  • In this paper, a general model is developed to predict the distribution of interfacial shear and normal stresses of FG beam reinforced by porous FGM plates under mechanical loading. The beam is assumed to be isotropic with a constant Poisson's ratio and power law elastic modulus through the beam thickness. Stress distributions, depending on an inhomogeneity constant, were calculated and presented in graphicals forms. It is shown that both the normal and shear stresses at the interface are influenced by the material and geometry parameters of the composite beam, and it is shown that the inhomogeneities play an important role in the distribution of interfacial stresses. The results presented in the paper can serve as a benchmark for future analyses of functionally graded beams strengthened by imperfect varying properties plates. Numerical comparisons between the existing solutions and the present new solution enable a clear appreciation of the effects of various parameters. The results of this study indicated that the imperfect functionally graded panel strengthening systems are effective in enhancing flexural behavior of the strengthened FGM beams. This research is helpful in understanding the mechanical behaviour of the interface and design of hybrid structures.

Elastic stability of functionally graded graphene reinforced porous nanocomposite beams using two variables shear deformation

  • Fortas, Lahcene;Messai, Abderraouf;Merzouki, Tarek;Houari, Mohammed Sid Ahmed
    • Steel and Composite Structures
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    • 제43권1호
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    • pp.31-54
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    • 2022
  • This paper is concerned with the buckling behavior of functionally graded graphene reinforced porous nanocomposite beams based on the finite element method (FEM) using two variables trigonometric shear deformation theory. Both Young's modulus and material density of the FGP beam element are simultaneously considered as grading through the thickness of the beam. The finite element approach is developed using a nonlocal strain gradient theory. The governing equations derived here are solved introducing a 3-nodes beam element, and then the critical buckling load is calculated with different porosity distributions and GPL dispersion patterns. After a convergence and validation study to verify the accuracy of the present model, a comprehensive parametric study is carried out, with a particular focus on the effects of weight fraction, distribution pattern of GPL reinforcements on the Buckling behavior of the nanocomposite beam. The effects of various structural parameters such as the dispersion patterns for the graphene and porosity, thickness ratio, boundary conditions, and nonlocal and strain gradient parameters are brought out. The results indicate that porosity distribution and GPL pattern have significant effects on the response of the nanocomposite beams, and the results allows to identify the most effective way to achieve improved buckling behavior of the porous nanocomposite beam.

Mechanical behavior of sandstones under water-rock interactions

  • Zhou, Kunyou;Dou, Linming;Gong, Siyuan;Chai, Yanjiang;Li, Jiazhuo;Ma, Xiaotao;Song, Shikang
    • Geomechanics and Engineering
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    • 제29권6호
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    • pp.627-643
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    • 2022
  • Water-rock interactions have a significant influence on the mechanical behavior of rocks. In this study, uniaxial compression and tension tests on different water-treated sandstone samples were conducted. Acoustic emission (AE) monitoring and micro-pore structure detection were carried out. Water-rock interactions and their effects on rock mechanical behavior were discussed. The results indicate that water content significantly weakens rock mechanical strength. The sensitivity of the mechanical parameters to water treatment, from high to low, are Poisson ratio (𝜇), uniaxial tensile strength (UTS), uniaxial compressive strength (UCS), elastic modulus (E), and peak strain (𝜀). After water treatment, AE activities and the shear crack percentage are reduced, the angles between macro fractures and loading direction are minimized, the dynamic phenomenon during loading is weakened, and the failure mode changes from a mixed tensile-shear type to a tensile one. Due to the softening, lubrication, and water wedge effects in water-rock interactions, water content increases pore size, promotes crack development, and weakens micro-pore structures. Further damage of rocks in fractured and caved zones due to the water-rock interactions leads to an extra load on the adjoining coal and rock masses, which will increase the risk of dynamic disasters.

A new four-unknown equivalent single layer refined plate model for buckling analysis of functionally graded rectangular plates

  • Ibrahim Klouche Djedid;Sihame Ait Yahia;Kada Draiche;Emrah Madenci;Kouider Halim Benrahou;Abdelouahed Tounsi
    • Structural Engineering and Mechanics
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    • 제90권5호
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    • pp.517-530
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    • 2024
  • This paper presents a new four-unknown equivalent single layer (ESL) refined plate theory for the buckling analysis of functionally graded (FG) rectangular plates with all simply supported edges and subjected to in-plane mechanical loading conditions. The present model accounts for a parabolic variation of transverse shear stress over the thickness, and accommodates correctly the zero shear stress conditions on the top and bottom surfaces of the plate. The material properties are supposed to vary smoothly in the thickness direction through the rules of mixture named power-law gradation. The governing equilibrium equations are formulated based on the total potential energy principle and solved for simply supported boundary conditions by implementing the Navier's method. A numerical result on elastic buckling using the current theory was computed and compared with those published in the literature to examine the accuracy of the proposed analytical solution. The effects of changing power-law exponent, aspect ratio, thickness ratio and modulus ratio on the critical buckling load of FG plates under different in-plane loading conditions are investigated in detail. Moreover, it was found that the geometric parameters and power-law exponent play significant influences on the buckling behavior of the FG plates.

A comparative study for beams on elastic foundation models to analysis of mode-I delamination in DCB specimens

  • Shokrieh, Mahmood Mehrdad;Heidari-Rarani, Mohammad
    • Structural Engineering and Mechanics
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    • 제37권2호
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    • pp.149-162
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    • 2011
  • The aim of this research is a comprehensive review and evaluation of beam theories resting on elastic foundations that used to model mode-I delamination in multidirectional laminated composite by DCB specimen. A compliance based approach is used to calculate critical strain energy release rate (SERR). Two well-known beam theories, i.e. Euler-Bernoulli (EB) and Timoshenko beams (TB), on Winkler and Pasternak elastic foundations (WEF and PEF) are considered. In each case, a closed-form solution is presented for compliance versus crack length, effective material properties and geometrical dimensions. Effective flexural modulus ($E_{fx}$) and out-of-plane extensional stiffness ($E_z$) are used in all models instead of transversely isotropic assumption in composite laminates. Eventually, the analytical solutions are compared with experimental results available in the literature for unidirectional ($[0^{\circ}]_6$) and antisymmetric angle-ply ($[{\pm}30^{\circ}]_5$, and $[{\pm}45^{\circ}]_5$) lay-ups. TB on WEF is a simple model that predicts more accurate results for compliance and SERR in unidirectional laminates in comparison to other models. TB on PEF, in accordance with Williams (1989) assumptions, is too stiff for unidirectional DCB specimens, whereas in angle-ply DCB specimens it gives more reliable results. That it shows the effects of transverse shear deformation and root rotation on SERR value in composite DCB specimens.

폐타이어 분말을 이용한 혼합경량토의 역학적 특성 연구 (Mechanical Properties of Waste Tire Powder - Added Lightweight Soil)

  • 김윤태;강효섭
    • 대한토목학회논문집
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    • 제28권4C호
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    • pp.247-253
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    • 2008
  • 본 연구에서는 준설토, 폐타이어 분말 및 저회(bottom ash)를 재활용한 폐타이어 분말 혼합경량토의 역학적 특성을 고찰하였다. 본 실험에서 폐타이어 분말의 함량은 건조 준설토 중량대비 0%에서 100%까지 25%간격으로 변화시켜 5개의 공시체를 준비하였다. 혼합된 공시체는 일축압축시험, 탄성파 시험을 수행하여 강도와 지반정수들을 구하였다. 실험결과 폐타이어 함량이 증가함에 따라 일축압축강도와 단위중량은 감소하는 경향을 나타내었다. 그러나 파괴시 축변형률은 증가하는 것으로 나타났다. 또한 폐타이어 분말의 함량이 증가할수록 폐타이어 혼합경량토의 응력-변형률 곡선은 취성적 거동보다는 연성적 거동을 나타내었다. 탄성파 시험에서는 폐타이어 함량이 증가함에 따라 탄성파 속도와 전단탄성계수는 감소하는 성질을 나타내고 있다.

대형자연시료 채취를 통한 시료 교란도 분석에 관한 연구 (A Study on Disturbance Effect of Clay by Block Sampling)

  • 신윤섭;김연정;김학중;김영웅
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2003년도 봄 학술발표회 논문집
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    • pp.325-332
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    • 2003
  • In general, soil characteristics are estimated through the sample gathered by field boring without considering sample disturbance. However, soil characteristics must be changed by the degree of sample disturbance. Therefore it be need to estimate the soil characteristic considering sample disturbance which can be occurred by the change of stress condition, sampling technique and handling method. On this study, we analyzed the sample disturbance by using the methods of volume change, residual effective stress, elastic modulus and the curve of consolidation tests. In order to estimate the relationship between sample disturbance and soil characteristics, we used the piston sample and the block sample. As the results, it should be considered in design that the disturbance of the block sample, which affects the strength and compression properties of clay, is smaller than the disturbance of piston sample.

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자동차용 구조접착접합이음의 응력해석과 강도평가에 관한 연구

  • 유영철;오승규;이원
    • 대한기계학회논문집A
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    • 제22권4호
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    • pp.905-915
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    • 1998
  • Static tensile tests using adhesive-bonded single-lap joints of aluminum alloy were conducted to investigate the effect of geometric factor, overlap length, adherend thickness, adhesive thickness and material composition of adherend/adhesive on the strength of adhesive joint. The average applied shear stress at joint fracture decreased with increasing lap length. However increasing the adherend thickness resulted in a higher joint strength. Higher yield strength of adherend and lower elastic modulus of adhesive is advantageous to the adhesive joint. Newly proposed modified joint factor could be well evaluated the influence of lap length, adherend thickness and adhesive thickness on the bond strength for adhesive joints.