• 제목/요약/키워드: elastic strain energy

검색결과 284건 처리시간 0.03초

주조 및 압출가공된 SiC입자강화 알루미늄복합재의 피로거동 및 피로수명에 대한 비교 연구 (A Comparative Study on the Cyclic Behavior and Fatigue Life of Cast and Extruded SiC -Particulate - Reinforced Al-Si Composites)

  • 고승기;이경엽
    • 대한기계학회논문집A
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    • 제24권3호
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    • pp.777-785
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    • 2000
  • The low-cycle fatigue behaviors of cast AI-Si alloy and composite with reinforcement of SIC particles were compared with those of extruded unreinforced matrix alloy and composite in order to investigate the influence of cast and extrusion processes on the cyclic deformation and fatigue life. Generally, both cast and extruded composites including the unreinforced alloy exhibited cyclic hardening behaviour, with more pronounced strain-hardening for the composites with a higher volume fraction of the SiC particles. However, cast composite under a low applied cyclic strain showing no observable plastic strain exhibited cyclic softening behavior due to the cast porosities. The elastic modulus and yield strength of the cast composite were found to be quite comparable to those of the extruded composite, however, the extrusion process considerably improved the ductility and fracture strength of the composite by effectively eliminating the cast porosities. Low-cycle fatigue lives of the cast alloy and composite were shorter than those of the extruded counterparts. Large difference in life between cast and extruded composites was attributed to the higher influence of the cast porosities on the fatigue life of the composite than that of the unreinforced alloy material. A fatigue damage parameter using strain energy density effectively represented the inferior life in the low-cycle regime and superior life in the high-cycle regime for the composite, compared to the unreinforced alloy.

스폰지 뼈의 Remodeling 예측을 위한 체적 변형률을 이용한 유한요소 알고리즘 (A Finite Element Simulation of Cancellous Bone Remodeling Based on Volumetric Strain)

  • 김용;벤더비 레이
    • 대한의용생체공학회:의공학회지
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    • 제21권4호
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    • pp.373-384
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    • 2000
  • 본 연구의 목적은 체적 변형률 (volumetric strain)에 의한 스폰지 뼈의 밀도를 예측하는 것이다. 스폰지 뼈의 내부에서 유체의 흐름을 고려하기 위하여 각각의 normal strain의 합을 체적 변형률로 정의하였다. 체적 변형률의 경계조건에 대한 민감한 반응은 스폰지 뼈의 밀도를 예측하도록 하였다. 이러한 이론적 배경을 유한요소법 (finite element method)에 적용시켜 대퇴골 (femur)과 척구 (spine)의 스폰지 뼈에서의 밀도를 예측하였다. 예측된 뼈의 밀도는 실험적 데이터와 매우 유사하였다. (Wolff 1892, Keller et al. 1989, Codyet al. 1992). 뼈의 밀도의 함수인 뼈의 탄성계수와 강도 또한 실험적 결과와 매우 유사하였다. (Keller et al. 1989, Carter and Hayes 1977). 본 연구에서 정립된 알고리즘은 스폰지 뼈의 밀도를 예측하는데 있어서 수렴성과 민감성이 우수하였다. 따라서 본 연구의 컴퓨터 알고리즘은 스폰지 뼈의 밀도예측에 있어서 매우 유용한 방법이 될 것이다.

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Estimation of tensile strength and moduli of a tension-compression bi-modular rock

  • Wei, Jiong;Zhou, Jingren;Song, Jae-Joon;Chen, Yulong;Kulatilake, Pinnaduwa H.S.W.
    • Geomechanics and Engineering
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    • 제24권4호
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    • pp.349-358
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    • 2021
  • The Brazilian test has been widely used to determine the indirect tensile strength of rock, concrete and other brittle materials. The basic assumption for the calculation formula of Brazilian tensile strength is that the elastic moduli of rock are the same both in tension and compression. However, the fact is that the elastic moduli in tension and compression of most rocks are different. Thus, the formula of Brazilian tensile strength under the assumption of isotropy is unreasonable. In the present study, we conducted Brazilian tests on flat disk-shaped rock specimens and attached strain gauges at the center of the disc to measure the strains of rock. A tension-compression bi-modular model is proposed to interpret the data of the Brazilian test. The relations between the principal strains, principal stresses and the ratio of the compressive modulus to tensile modulus at the disc center are established. Thus, the tensile and compressive moduli as well as the correct tensile strength can be estimated simultaneously by the new formulas. It is found that the tensile and compressive moduli obtained using these formulas were in well agreement with the values obtained from the direct tension and compression tests. The formulas deduced from the Brazilian test based on the assumption of isotropy overestimated the tensile strength and tensile modulus and underestimated the compressive modulus. This work provides a new methodology to estimate tensile strength and moduli of rock simultaneously considering tension-compression bi-modularity.

동적응답을 최소화하는 비구속형 제진보의 제진부위 최적설계 (Optimal Treatment of Unconstrained Visco-elastic Damping Layer on Beam to Minimize Vibration Responses)

  • 이두호
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 춘계학술대회논문집
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    • pp.656-661
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    • 2005
  • An optimization formulation of unconstrained damping treatment on beams is proposed to minimize vibration responses using a numerical search method. The fractional derivative model is combined with RUK's equivalent stiffness approach in order to represent nonlinearity of complex modulus of damping materials with frequency and temperature. The loss factors of partially covered unconstrained beam are calculated by the modal strain energy method. Vibration responses are calculated by using the modal superposition method, and of which design sensitivity formula with respect to damping layout is derived analytically. Plugging the sensitivity formula into optimization software, we can determine optimally damping treatment region that gives minimum forced response under a given boundary condition. A numerical example shows that the proposed method is very effective in minimizing vibration responses with unconstrained damping layer treatment.

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방진용 고무를 이용한 가새형 감쇠기의 진동 특성에 관한 실험 연구 (Experimenal Study of Dynamic Characteristics of Brace-Typed Dampers using Vibration-resistant Rubbers)

  • 민경원;김진구;조한묵;이성경;호경찬
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1998년도 춘계학술대회논문집; 용평리조트 타워콘도, 21-22 May 1998
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    • pp.381-385
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    • 1998
  • Vibration-resistant rubbers, whose elastic and shear behaviors are similar to viscoelastic materials, are used to make brace-typed dampers to reduce the building vibration. Experimental study is carried out to find the vibration characteristics of the dampers installed in the building model. The natural frequencies and modal damping ratios are obtained from the free vibration test and Fourier analysis. Analytical model of the modal strain energy method are used to find the viscoelastic characteristics of the brace-typed dampers from the experimental results. Finally shaking table test is performed to find the response behavior of the building model under earthquake loading. The present experimental study shows that the brace-typed dampers have the behavior of viscoelastic dampers, which increase the modal damping ratios and viscoelastic characteristics.

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생체주입용 Ni-Ti 합금의 시효특성(I) (Characteristics of Aging of Ni-Ti Alloy Used for Implant Fabrications(I))

  • 조형준;이준희;박기룡
    • 대한의용생체공학회:의공학회지
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    • 제10권3호
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    • pp.261-268
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    • 1989
  • The characteristics of aging of near-equiatomic Ni-Ti alloy has been studied by the three point bend test and the measurement of Differential Scanning Calorimetry(DSC). The DSC is used to measure precise transformation temperatures and the amount of thermal energy required for the corresponding phase transformation. The effort of hardness on aging treatment in saline solution of $37^{\circ}C$ was higher for the annealed than solution treated specimens. As the testing temperature inc- rease from under $M_f$ to above $A_f$ temperature, the elastic stiffness increased. Almost full recovery can be achieved after bending below Belo outer fiber strain. Total bend recovery decreased gradually as aging time and bend angle is increased.

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응집입자가 $BaTiO_3$의 소결거동에 미치는 영향 (Effect of Aggregates on the Sintering Behavior of $BaTiO_3$)

  • 김진호
    • 한국세라믹학회지
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    • 제28권11호
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    • pp.926-934
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    • 1991
  • The effect of aggregates on the forming and sintering behaviors of BaTiO3 was studied. Aggregates and deaggregates of fine crystallite were obtained by thermal decomposition of oxalate coprecipitates and subsequently crushing them with a press, respectively. Large voids formed by packing of aggregates were not easily eliminated despite the successive destruction of aggregates with increasing forming pressure. As a result, compacts of aggregates showed inhomogeneity with larger mid-pore size and broader pore size distribution with respect to those of deaggregates. This inhomogeneity caused differential shrinkage and consequental internal stress, which retarded densification. The differential sintering increased the size of mid-pores in the initial stage, and formed duplex structure composed of dense region with abnormally grown grains and porous region with fine grains. The driving force of this abnormal grain growth shown in the specimens of aggregates was attributed to the minimization of the elastic strain energy due to internal stress.

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Vibration and instability of nanocomposite pipes conveying fluid mixed by nanoparticles resting on viscoelastic foundation

  • Natanzi, Abolfazl Jafari;Jafari, Gholamreza Soleimani;Kolahchi, Reza
    • Computers and Concrete
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    • 제21권5호
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    • pp.569-582
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    • 2018
  • In this study, nonlinear vibration and stability of a polymeric pipe reinforced by single-walled carbon naotubes (SWCNTs) conveying fluid-nanoparticles mixture flow is investigated. The Characteristics of the equivalent composite are determined using Mori-Tanaka model considering agglomeration effects. The surrounding elastic medium is simulated by orthotropic visco-Pasternak medium. Employing nonlinear strains-displacements, stress-strain energy method the governing equations were derived using Hamilton's principal. Differential quadrature method (DQM) is used for obtaining the frequency and critical fluid velocity. The influence of volume percent of SWCNTs, agglomeration, geometrical parameters of pipe, viscoelastic foundation and fluid velocity are shown on the frequency and critical fluid velocity of pipe. Results showed the increasing volume percent of SWCNTs leads to higher frequency and critical fluid velocity.

Compressive Properties of Amorphous Metal Fiber Reinforced Concrete Exposed to high Temperature

  • Lee, Jun-Cheol;Kim, Wha-Jung;Lee, Chang-Joon
    • 한국건축시공학회지
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    • 제12권2호
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    • pp.183-193
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    • 2012
  • Compressive property of high strength concrete with amorphous metal fibers subject to high temperature has been investigated. The measure of this investigation includes explosive spalling, weight loss, residual compressive strength, strain at peak stress, elastic modulus, and residual energy absorption capacity after exposure to $400^{\circ}C$, $600^{\circ}C$and $800^{\circ}C$. In addition to the amorphous metal fiber, two other types of fibers (polypropylene fiber and hooked-end steel fiber) were also included in this investigation for comparison. The experimental program was conducted with high strength concrete using several combinations of the fiber types. The testing result shows that the concrete with amorphous metal fibers plus polypropylene fibers shows a superior behavior than those using other combination or single fiber type ingredient.

비구속형 점탄성 제진층을 갖는 보의 제진층 길이 최적화 (Length Optimization for Unconstrained Visco-elastic Damping Layer of Beams)

  • 이두호;황우석
    • 한국소음진동공학회논문집
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    • 제13권12호
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    • pp.938-946
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    • 2003
  • Length of an unconstrained viscoelastic damping layer on beams is determined to maximizeloss factor using a numerical search method. The fractional derivative model can describe damping characteristics of viscoelastic damping materials accurately, and is used to represent nonlinearity of complex modulus with frequencies and temperatures. Equivalent flexural rigidity of the unconstrained beam is obtained using Ross, Ungar, Kelvin[RUK] equation. The loss factors of partially covered unconstrained beam are calculated by a modal strain energy method. Optimal lengths of the unconstrained viscoelastic damping layer of beams are identified with ambient temperatures and thickness ratios of beam and damping layer by using a finite-difference-based steepest descent method.