• 제목/요약/키워드: elastic shear stress

검색결과 427건 처리시간 0.03초

TIME-DEPENDENT FRACTURE OF ARTICULAR CARTILAGE: PART 1 - THEORY & VALIDATION

  • 문무성
    • 대한의용생체공학회:학술대회논문집
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    • 대한의용생체공학회 1995년도 춘계학술대회
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    • pp.27-33
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    • 1995
  • A time-dependent large deformation fracture theory is developed for application to soft biological tissues. The theory uses the quasilinear viscoelastic theory of Fung, and particularizes it to constitutive assumptions on polyvinyl-chloride (PVC) (Part I) and cartilage (Part II). This constitutive theory is used in a general viscoelastic theory by Christensen and Naghdi and an energy balance to develop an expression for the fracture toughness of the materials. Experimental methods are developed for measuring the required constitutive parameters and fracture data for the materials. Elastic stress and reduced relaxation functions were determined using tensile and shear tests at high loading rates with rise times of 25-30 msec, and test times of 150 sec. The developed method was validated, using an engineering material, PVC to separate the error in the testing method from the inherent variation of the biological tissues. It was found that the the proposed constitutive modeling can predict the nonlinear stress-strain and the time-dependent behavior of the material. As an approximation method, a pseudo-elastic theory using the J-integral concept, assuming that the material is a time-independent large deformation elastic material, was also developed and compared with the time-dependent fracture theory. For PVC. the predicted fracture toughness is $1.2{\pm}0.41$ and $1.5{\pm}0.23\;kN/m$ for the time-dependent theory and the pseudo-elastic theory, respectively. The methods should be of value in quantifying fracture properties of soft biological tissues. In Part II, an application of the developed method to a biological soft tissue was made by using bovine humeral articular cartilage.

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An accurate analytical model for the buckling analysis of FG-CNT reinforced composite beams resting on an elastic foundation with arbitrary boundary conditions

  • Aicha Remil;Mohamed-Ouejdi Belarbi;Aicha Bessaim;Mohammed Sid Ahmed Houari;Ahmed Bouamoud;Ahmed Amine Daikh;Abderrahmane Mouffoki;Abdelouahed Tounsi;Amin Hamdi;Mohamed A. Eltaher
    • Computers and Concrete
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    • 제31권3호
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    • pp.267-276
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    • 2023
  • The main purpose of the current research is to develop an efficient two variables trigonometric shear deformation beam theory to investigate the buckling behavior of symmetric and non-symmetric functionally graded carbon nanotubes reinforced composite (FG-CNTRC) beam resting on an elastic foundation with various boundary conditions. The proposed theory obviates the use to shear correction factors as it satisfies the parabolic variation of through-thickness shear stress distribution. The composite beam is made of a polymeric matrix reinforced by aligned and distributed single-walled carbon nanotubes (SWCNTs) with different patterns of reinforcement. The material properties of the FG-CNTRC beam are estimated by using the rule of mixture. The governing equilibrium equations are solved by using new analytical solutions based on the Galerkin method. The robustness and accuracy of the proposed analytical model are demonstrated by comparing its results with those available by other researchers in the existing literature. Moreover, a comprehensive parametric study is presented and discussed in detail to show the effects of CNTs volume fraction, distribution patterns of CNTs, boundary conditions, length-to-thickness ratio, and spring constant factors on the buckling response of FG-CNTRC beam. Some new referential results are reported for the first time, which will serve as a benchmark for future research.

Mechanical properties of reinforced-concrete rocking columns based on damage resistance

  • Zhu, Chunyang;Cui, Yanqing;Sun, Li;Du, Shiwei;Wang, Xinhui;Yu, Haochuan
    • Structural Engineering and Mechanics
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    • 제80권6호
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    • pp.737-747
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    • 2021
  • The objective of seismic resilience is to maintain or rapidly restore the function of a building after an earthquake. An efficient tilt mechanism at the member level is crucial for the restoration of the main structure function; however, the damage resistance of the members should be the main focus. In this study, through a comparison with the classical Flamant theory of local loading in the elastic half-space, an elastomechanical solution for the axial-stress distribution of a reinforced-concrete (RC) rocking column was derived. Furthermore, assuming that the lateral displacement of the rocking column is determined by the contact surface rotation angle of the column end and bending and shear deformation of the column body, the load-lateral displacement mechanical model of the RC rocking column was established and validated through a comparison with finite-element simulation results. The axial-compression ratio and column-end strength were analyzed, and the results indicated that on the premise of column damage resistance, simply increasing the axial-compression ratio increases the lateral loading capacity of the column but is ineffective for improving the lateral-displacement capacity. The lateral loading and displacement of the column are significantly improved as the strength of the column end material increases. Therefore, it is feasible to improve the working performance of RC rocking columns via local reinforcement of the column end.

Effect of progressive shear punch of a foundation on a reinforced concrete building behavior

  • Naghipour, Morteza;Niak, Kia Moghaddas;Shariati, Mahdi;Toghroli, Ali
    • Steel and Composite Structures
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    • 제35권2호
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    • pp.279-294
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    • 2020
  • Foundation of a building is damaged under service loads during construction. First visit shows that the foundation has been punched at the 6 column's foot region led to building rotation. Foundation shear punching occurring has made some stresses and deflections in construction. In this study, progressing of damage caused by foundation shear punching and inverse loading in order to resolve the building rotation has been evaluated in the foundation and frame of building by finite element modeling in ABAQUS software. The stress values of bars in punched regions of foundation has been deeply exceeded from steel yielding strength and experienced large displacement based on software's results. On the other hand, the values of created stresses in the frame are not too big to make serious damage. In the beams and columns of ground floor, some partial cracks has been occurred and in other floors, the values of stresses are in the elastic zone of materials. Finally, by inverse loading to the frame, the horizontal displacement of floors has been resolved and the values of stresses in frame has been significantly reduced.

The competing roles of extensional viscosity and normal stress differences in complex flows of elastic liquids

  • Walters, K.;Tamaddon-Jahromi, H.R.;Webster, M.F.;Tome, M.F.;McKee, S.
    • Korea-Australia Rheology Journal
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    • 제21권4호
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    • pp.225-233
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    • 2009
  • In various attempts to relate the behaviour of highly-elastic liquids in complex flows to their rheometrical behaviour, obvious candidates for study have been the variation of shear viscosity with shear rate, the two normal stress differences $N_1$ and $N_2$, especially $N_1$, and the extensional viscosity $\eta_E$. In this paper, we shall be mainly interested in 'constant-viscosity' Boger fluids, and, accordingly, we shall limit attention to $N_1$ and $\eta_E$. We shall concentrate on two important flows - axisymmetric contraction flow and "splashing" (particularly that which arises when a liquid drop falls onto the tree surface of the same liquid). Modern numerical techniques are employed to provide the theoretical predictions. It is shown that the two obvious manifestations of viscoelastic rheometrical behaviour can sometimes be opposing influences in determining flow characteristics. Specifically, in an axisymmetric contraction flow, high $\eta_E$ can retard the flow, whereas high $N_1$ can have the opposite effect. In the splashing experiment, high $\eta_E$ can certainly reduce the height of the so-called Worthington jet, thus confirming some early suggestions, but, again, other rheometrical influences can also have a role to play and the overall picture may not be as clear as it was once envisaged.

전단변형과 시간변화 이동자기력을 고려한 레일의 강제진동모델링 (Forced Vibration Modeling of Rail Considering Shear Deformation and Moving Magnetic Load)

  • 김준수;김성종;이혁;하성규;이영현
    • 대한기계학회논문집A
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    • 제37권12호
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    • pp.1547-1557
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    • 2013
  • 시간변화 이동자기력이 작용하는 레일의 변형을 티모센코 보 이론(Timoshenko beam theory)로 가정하였으며, 보의 진동특성에 영향을 미치는 탄성체기초의 감쇠효과 및 강성을 고려하였다. 푸리에 급수와 수치해석을 이용해 강제진동모델의 동적응답과 임계속도를 구하였다. 레일의 진동모델을 유한요소 해석 및 오일러 보 이론(Euler beam theory)과 비교 검증하였다. 강제진동모델을 이용하여 레일의 영구변형을 예측하였으며, 실험결과 레일표면의 영구변형 및 마모를 확인하였다. 보의 설계변수인 레일의 형상, 재료, 탄성체 기초의 감쇠효과 및 강성이 레일의 임계속도 및 레일의 처짐, 축 방향 응력, 전단 응력에 미치는 영향에 대한 매개변수적 연구를 진행하였으며, 보의 설계방향을 얻을 수 있었다.

Elastic Wave Propagation in Monoclinic System Due to Transient Line Load

  • Kim, Yong-Yun
    • The Journal of the Acoustical Society of Korea
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    • 제17권2E호
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    • pp.53-58
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    • 1998
  • In this paper, we study the response of several anisotropic systems to buried transient line loads. The problem is mathematically formulated based on the equations of motion in the constitutive relations. The load is in form of a normal stress acting with arbitrary axis on the plane of monoclinic symmetry. Plane wave equation is coupled with vertical shear wave, longitudinal wave and horizontal shear wave. We first considered the equation of motion in reference coordinate system, where the line load is coincident with symmetry axis of the orthotrioic material. Then the equation of motion is transformed with respect to general coordiante system with azimuthal angle by using transformation tensor. The load is first described as a body force in the equations of the motion for the infinite media and then it is mathematically characterized. Subsequently the results for semi-infinite spaces is also obtained by using superposition of the infinite medium solution together with a scattered solution from the free surface. Consequently explicit solutions for the displacements are obtained by using Cargniard-DeHoop contour. Numerical results which are drawn from concrete examples of orthotropic material belonging to monoclinic symmetry are demonstrated.

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반복하중을 받는 대형 콘크리트 판구조의 비선형 해석 (Nonlinear Analysis of Large Concrete Panel Structures subjected to Cyclic Loads)

  • 정봉오;서수연;이원호;이리형
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1994년도 가을 학술발표회 논문집
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    • pp.113-120
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    • 1994
  • Large Concrete Panel Structures behave quite differently from frame or monolithic shear wall structures because of the weakness of Joint in stiffness and strength. The joint experiences large deformation such as shear-slip in vertical and horizontal joint and rocking and crushing in horizontal joint because of localized stress concentration, but the wall panels behave elastically under cyclic loads. In order to describe the nonlinear behavior of the joint in the analysis of PC structures, different analysis technique from that of RC structures is needed. In this paper, for analysis of large concrete panel subassemblage subjected to cyclic loads, the wall panels are idealized by elastic finite elements, and the joints by nonlinear spring elements with various load-deflection relationship. The analytical results are compared with the experimental results on the strength, stiffness, energy dissipation and lateral drift, and the effectiveness of this computer analysis modelling technique is checked.

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Thermoelastic analysis of rectangular plates with variable thickness made of FGM based on TSDT using DQ method

  • Amiri, Majid;Loghman, Abbas;Arefi, Mohammad
    • Geomechanics and Engineering
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    • 제29권6호
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    • pp.667-681
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    • 2022
  • This paper presents a thermoelastic analysis of variable thickness plates made of functionally graded materials (FGM) subjected to mechanical and thermal loads. The thermal load is applied to the plate as a temperature difference between the top and bottom surfaces. Temperature distribution in the plate is obtained using the steady-state heat equation. Except for Poisson's ratio, all mechanical properties of the plate are assumed to vary linearly along the thickness direction based on the volume fractions of ceramic and metal. The plate is resting on an elastic foundation modeled based on the Winkler foundation model. The governing equations are derived based on the third-order shear deformation theory (TSDT) and are solved numerically for various boundary conditions using the differential quadrature method (DQM). The effects of various parameters on the stress distribution and deflection of the plate are investigated such as the value of thermal and mechanical loads, volume fractions of ceramic and metal, and the stiffness coefficients of the foundation.

고결된 Engineered Soils의 탄성파 특성 (Elastic Wave Characteristics in Cemented Engineered Soils)

  • 이창호;윤형구;이우진;이종섭
    • 한국지반공학회논문집
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    • 제24권2호
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    • pp.87-97
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    • 2008
  • 단단한 모래 입자와 연약한 고무 입자로 이루어진 Engineered soils을 고결화 시킨 후 $K_o$ 상태에서의 거동 특성을 분석하였다. 고결화 효과에 따른 영향 및 모래부피비에 따른 영향을 파악하기 위하여 다양한 모래부피비를 가지는 비고결화 및 고결화 시료를 준비하여, 수직 응력에 따른 변형 및 탄성파 속도를 측정하였다. 탄성파 속도 측정은 벤더 엘리먼트와 PZT 엘리먼트를 이용하였다. 고결화 이 후 응력에 따른 수직 변형율의 기울기는 이중 선형 관계를 보이며 고결화 결합 파괴 이후에는 비고결화 시료와 비슷한 기울기를 가진다. 정규화된 수직 변형량은 응력에 따라 capillary force, cementation, decementation 구간으로 나눌 수 있다. 근접장 내에서 측정된 전단파 신호의 첫 번째 움직임은 압축파의 도달과 일치하였다. 고결화에 의해 탄성파 속도는 수직 응력의 증가 없이 급격한 증가를 보였으며, 고결화 이후 추가적인 응력 증가에도 일정한 값을 보였다. 고결화 파괴 후 지속적인 수직 응력의 증가에 따라 탄성파속도는 증가하였다. 고결화는 비고결화 시료에서 나타나는 유사고무, 유사모래, 전이 3가지의 거동을 방해한다. 고무-모래 혼합재의 고결화 결합의 파괴 메커니즘은 모래부피비에 따라 다르며 낮은 모래부피비의 시료는 입자 모양의 변화가, 높은 모래부피비 시료에서는 입자 구조의 변화가 고결화 결합의 파괴가 주요한 원인이다. 본 연구를 통해 연약한 고무 입자와 단단한 모래 입자의 혼합재인 Engineered soils의 거동은 고결화 및 고결화 파괴에 따라 비고결화 시료와 구분됨을 알 수 있었다.