• 제목/요약/키워드: mechanical stress response

검색결과 454건 처리시간 0.026초

Experimental and numerical investigation of expanded polystyrene (EPS) geofoam samples under monotonic loading

  • Khalaj, Omid;Siabil, Seyed Mohammad Amin Ghotbi;Azizian, Mehran;Tafreshi, Seyed Naser Moghaddas;Masek, Bohuslav;Kepka, Miloslav;Kavalir, Tomas;Krizek, Michal;Jirkova, Hana
    • Geomechanics and Engineering
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    • 제22권6호
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    • pp.475-488
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    • 2020
  • The recent increase in the use of Expanded Polystyrene (EPS) geofoam in construction and geotechnical projects has driven researchers to investigate its behavior, more deeply. In this paper, a series of experimental tests to investigate the stress-strain behavior and the mechanical properties of EPS blocks, under monotonic axial loading are presented. Four different densities of cylindrically shaped EPS with different dimensions are used to investigate the effects of loading rate, height and diameter, as well as the influence of the density of EPS on the stress-strain response. The results show that increasing the height of the EPS samples leads to instability of the sample and consequent lower resistance to the applied pressure. Large EPS samples show higher Young's modulus and compressive resistance due to some boundary effects. An increase in the rate of loading can increase the elastic moduli and compressive resistance of the EPS geofoam samples, which also varies depending on the density of the samples. It was also determined that the elastic modulus of EPS increases with increasing EPS density. By implementing an efficient numerical procedure, the stress-strain response of EPS geofoam samples can be reproduced with great accuracy. The numerical analysis based on the proposed method can used to evaluate the effect of different factors on the behavior of EPS geofoam.

Hygrothermal Fracture Analysis in Dissimilar Materials

  • Ahn, Kook-Chan;Lee, Tae-Hwan;Bae, Kang-Yul
    • International Journal of Aeronautical and Space Sciences
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    • 제2권2호
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    • pp.65-72
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    • 2001
  • This paper demonstrates an explicit-implicit, finite element analysis for linear as well as nonlinear hygrothermal stress problems. Additional features, such as moisture diffusion equation, crack element and virtual crack extension(VCE) method for evaluating J-integral are implemented in this program. The Linear Elastic Fracture Mechanics(LEFM) Theory is employed to estimate the crack driving force under the transient condition for an existing crack. Pores in materials are assumed to be saturated with moisture in the liquid form at the room temperature, which may vaporize as the temperature increases. The vaporization effects on the crack driving force are also studied. The ideal gas equation is employed to estimate the thermodynamic pressure due to vaporization at each time step after solving basic nodal values. A set of field equations governing the time dependent response of porous media are derived from balance laws based on the mixture theory. Darcy's law is assumed for the fluid flow through the porous media. Perzyna's viscoplastic model incorporating the Von-Mises yield criterion are implemented. The Green-Naghdi stress rate is used for the invariant of stress tensor under superposed rigid body motion. Isotropic elements are used for the spatial discretization and an iterative scheme based on the full Newton-Raphson method is used for solving the nonlinear governing equations.

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Shear strength response of clay and sand column with different sand grain shapes

  • Zuheir Karabash;Ali Firat Cabalar
    • Geomechanics and Engineering
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    • 제35권2호
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    • pp.135-147
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    • 2023
  • Sand columns in clayey soil are considered one of the most economical and environmentally-friendly soil-improving techniques. It improves the shear strength parameters, reduces the settlement, and increases the bearing capacity of clayey soils. The aim of this paper is to study the effect of grain shape in sand columns on their performance in improving the mechanical properties of clayey soils. An intensive series of consolidated-drained triaxial tests were performed on clay specimens only and clay specimens with sand columns. The parameters examined during the experimental work were grain shape in sand columns (angular, rounded, sub-rounded) and effective confining pressure (50 kPa, 100 kPa, 200 kPa). The results indicated that there is a significant improvement in the deviatoric stress and stiffness values of specimens with sand columns. Improving deviatoric stress values in the use of angular sand grains was found to be higher than those in the use of sub-rounded and rounded sand grains. A 187%, 159%, and 153% increment in deviatoric stress values were observed for the sand columns with angular, sub-rounded, and rounded grain shapes, respectively. The specimens were observed to be more contractive as the sand column was installed, and as the angularity of grains in the sand column was increased. Sand column installation improves significantly the angle of internal friction, and the effective angle of internal friction increases as the angularity of the sand grains increases.

입도분포를 고려한 다짐된 지반재료의 역학적 거동 평가 (Mechanical Evaluation of Compacted Granular Materials Considering Particle Size Distribution)

  • 박형민;박현수;박성완
    • 한국지반공학회논문집
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    • 제32권1호
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    • pp.45-53
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    • 2016
  • 일반적인 교통시설물 기초들은 다짐된 조립재료로 구성되는데 강성과 변형은 입자의 크기들이나 분포, 그리고 표면 하중에 의하여 많은 영향을 받아 변형을 유발하게 된다. 따라서 조립재료에 대한 변형 특성 이해와 해석 예측이 필요하다. 본 연구에서는 이러한 목적을 위하여 개별요소법을 도입하였다. 조립재료의 입자분포를 고려할 수 있는 알고리즘을 수립하고 이를 수치해석에 적용하였고, 삼축압축시험의 응력-변형곡선과 결과를 비교하여 적용 방법의 타당성을 평가하였다. 그 결과 입도분포를 잘 반영하는 해석이 매우 적합한 결과를 보여주고 있으며 하중과 입자의 각 조건을 적용하여 관련 영향들을 살펴보았다.

A Fourier sine series solution of static and dynamic response of nano/micro-scaled FG rod under torsional effect

  • Civalek, Omer;Uzun, Busra;Yayli, M. Ozgur
    • Advances in nano research
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    • 제12권5호
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    • pp.467-482
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    • 2022
  • In the current work, static and free torsional vibration of functionally graded (FG) nanorods are investigated using Fourier sine series. The boundary conditions are described by the two elastic torsional springs at the ends. The distribution of functionally graded material is considered using a power-law rule. The systems of equations of the mechanical response of nanorods subjected to deformable boundary conditions are achieved by using the modified couple stress theory (MCST) and taking the effects of torsional springs into account. The idea of the study is to construct an eigen value problem involving the torsional spring parameters with small scale parameter and functionally graded index. This article investigates the size dependent free torsional vibration based on the MCST of functionally graded nano/micro rods with deformable boundary conditions using a Fourier sine series solution for the first time. The eigen value problem is constructed using the Stokes' transform to deformable boundary conditions and also the convergence and accuracy of the present methodology are discussed in various numerical examples. The small size coefficient influence on the free torsional vibration characteristics is studied from the point of different parameters for both deformable and rigid boundary conditions. It shows that the torsional vibrational response of functionally graded nanorods are effected by geometry, small size effects, boundary conditions and material composition. Furthermore, for all deformable boundary conditions in the event of nano-sized FG nanorods, the incrementing of the small size parameters leads to increas the torsional frequencies.

Lattice-spring-based synthetic rock mass model calibration using response surface methodology

  • Mariam, Al-E'Bayat;Taghi, Sherizadeh;Dogukan, Guner;Mostafa, Asadizadeh
    • Geomechanics and Engineering
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    • 제31권5호
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    • pp.529-543
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    • 2022
  • The lattice-spring-based synthetic rock mass model (LS-SRM) technique has been extensively employed in large open-pit mining and underground projects in the last decade. Since the LS-SRM requires a complex and time-consuming calibration process, a robust approach was developed using the Response Surface Methodology (RSM) to optimize the calibration procedure. For this purpose, numerical models were designed using the Box-Behnken Design technique, and numerical simulations were performed under uniaxial and triaxial stress states. The model input parameters represented the models' micro-mechanical (lattice) properties and the macro-scale properties, including uniaxial compressive strength (UCS), elastic modulus, cohesion, and friction angle constitute the output parameters of the model. The results from RSM models indicate that the lattice UCS and lattice friction angle are the most influential parameters on the macro-scale UCS of the specimen. Moreover, lattice UCS and elastic modulus mainly control macro-scale cohesion. Lattice friction angle (flat joint fiction angle) and lattice elastic modulus affect the macro-scale friction angle. Model validation was performed using physical laboratory experiment results, ranging from weak to hard rock. The results indicated that the RSM model could be employed to calibrate LS-SRM numerical models without a trial-and-error process.

SHPB 기법과 확률이론을 이용한 고분자재료의 동적거동특성 및 건전성 평가 (Reliability Estimation and Dynamic Deformation of Polymeric Material Using SHPB Technique and Probability Theory)

  • 이억섭;김동혁
    • 대한기계학회논문집A
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    • 제32권9호
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    • pp.740-753
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    • 2008
  • The conventional Split Hopkinson Pressure Bar (C-SHPB) technique with aluminum pressure bars to achieve a closer impedance match between the pressure bars and the specimen materials such as hot temperature degraded POM (Poly Oxy Methylene) and PP (Poly Propylene) to obtain more distinguishable experimental signals is used to obtain a dynamic behavior of material deformation under a high strain rate loading condition. An experimental modification with Pulse shaper is introduced to reduce the nonequilibrium on the dynamic material response during a short test period to increase the rise time of the incident pulse for two polymeric materials. For the dynamic stress strain curve obtained from SHPB experiment under high strain rate, the Johnson-Cook model is applied as a constitutive equation, and we verify the applicability of this constitutive equation to the probabilistic reliability estimation method. The methodology to estimate the reliability using the probabilistic method such as the FORM and the SORM has been proposed, after compose the limit state function using Johnson-Cook model. It is found that the failure probability estimated by using the SORM is more reliable than those of the FORM, and the failure probability increases with the increase of applied stress. Moreover, it is noted that the parameters of Johnson-Cook model such as A and n, and applied stress affect the failure probability more than the other random variables according to the sensitivity analysis.

비드형상 및 복수 표면균열의 확률적 특성을 고려한 필릿 용접부 피로수명 평가 (Fatigue Life Estimation of Fillet Welded Joints Considering Statistical Characteristics of Weld Toe's Shape and Multiple Collinear Surface Cracks)

  • 한승호;한정우
    • Journal of Welding and Joining
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    • 제23권3호
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    • pp.68-75
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    • 2005
  • The fatigue life of welded joints is associated with crack initiation and propagation life. Theses cannot be easily separated, since the definition of crack initiation is vague due to the initiation of multiple cracks that are distributed randomly along the weld toes. In this paper a method involving a notch strain and fracture mechanical approach, which considers the characteristics of welded joints, e.g. welding residual stress and statistical characteristics of multiple cracks, is proposed, in an attempt to reasonably estimate these fatigue lives. The fatigue crack initiation life was evaluated statistically, e.g. the probability of failure occurrence in 2.3, 50 and $97.7\%$, in which the cyclic response of the local stress/strain hi the vicinity of the weld toes and notch factors derived by the irregular shape of the weld bead are taken into account. The fatigue crack propagation life was simulated by using Monte-Carlo method in consideration of the Ad-factor and the mechanical behavior of mutual interaction/coalescence between two adjacent cracks. The estimated total fatigue life, $(N_T)_{P50\%}$, as a sum of crack initiation and propagation life under the probability of failure occurrence in $50\%$ showed a good agreement with the experimental results. The developed technique for fatigue lift estimation enables to provide a quantitative proportion of crack initiation and propagation life in the total fatigue life due to the nominal stress range, ${\Delta}S$.

랜덤진동환경에서 솔더접합부의 인쇄회로기판내 위치에 따른 내구수명 변화 연구 (Location-dependent Reliability of Solder Interconnection on Printed Circuit Board in Random Vibration Environment)

  • 한창운
    • 대한기계학회논문집A
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    • 제38권1호
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    • pp.45-50
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    • 2014
  • 인쇄회로기판 위에 9개의 PBGA (Plastic Ball Grid Array) 패키지를 SnPb 솔더로 실장하여 진동시편을 제작하고 랜덤진동시험을 수행하였다. 진동에 대한 각 패키지 솔더의 내구수명을 분석한 결과, 패키지의 인쇄회로기판 배치 위치에 따라 솔더의 내구수명이 결정됨을 보였다. 이 위치에 따른 내구수명 의존성을 규명하기 위하여 유한요소모델을 작성하고, 모델의 모든 요소에 대해서 응력응답함수로부터 정의되는 등가응력을 분석하였다. 분석결과로부터 랜덤진동시험에서 패키지를 연결하는 솔더 중 코너에 위치한 솔더에서 최대 등가응력이 발생함을 보였다. 마지막으로, 각 패키지별 코너 솔더의 최대 등가응력값을 파괴등가응력으로 정의하고 파괴등가응력과 각 패키지의 내구수명간에 직접적인 연관관계가 있음을 제시하였다.

시추공 주변 단열 투수도 진화에 대한 수리-역학 연동 모델링 평가 (Hydraulic-Mechanical Modeling on Fracture Transmissivity Evolution Around a Borehole)

  • 최채순;박경우;박병학;고낙열;지성훈
    • 지질공학
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    • 제31권1호
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    • pp.55-66
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    • 2021
  • 본 연구에서는 방사성폐기물 처분 시 천연방벽의 수리 특성 진화와 관련하여, 시추공 설치 및 확공이 결정질 암반 내 단열 및 수리 특성에 영향을 미칠 가능성을 평가하기 위해 수리-역학 연동 수치해석을 수행했다. 시추공 부근에서의 간극 열림과 투수성 변화 여부를 평가하기 위해 단열망을 기반으로 한 불연속체 해석 도메인을 이용했다. 단열암반에서의 현장수리시험 모사를 통해 주응력방향과 시추공 직경 변화의 영향을 평가하였다. 먼저 단열의 간극변화가 주응력방향에 의존함을 확인했다. 그리고 수직변위에 의한 간극크기 증가가 지배적이었다. 시추공 부근에 전단팽창이 집중되는 것도 단열의 수리지질학적 진화에 영향을 미칠 수 있음을 알 수 있었다. 수치해석 결과는 시추공 설치 및 확공에 따른 응력교란에 의해 단열 특성이 변화하여 단열 암반의 투수성이 증가할 수 있다는 것을 보여준다. 추후 본 연구모델을 기반으로 실제 크기의 처분공 주변에서의 정확한 수리적 변화를 분석하기 위해서는 3차원 해석모델로 보완되어야 할 것으로 판단되었다.