• 제목/요약/키워드: Elastic Rate

검색결과 609건 처리시간 0.026초

속도 의존적인 폴리머 거동에 대한 구성적 모델 (A Constitutive Model for the Rate-dependent Deformation Behavior of a Solid Polymer)

  • 호광수
    • 소성∙가공
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    • 제22권4호
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    • pp.216-222
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    • 2013
  • Solid polymers exhibit rate-dependent deformation behavior such as nonlinear strain rate sensitivity and stress relaxation like metallic materials. Despite the different microstructures of polymeric and metallic materials, they have common properties with respect to inelastic deformation. Unlike most metallic materials, solid polymers and shape memory alloys (SMAs) exhibit highly nonlinear stress-strain behavior upon unloading. The present work employs the viscoplasticity theory [K. Ho, 2011, Trans. Mater. Process. 20, 350-356] developed for the pseudoelastic behavior of SMAs, which is based on unified state variable theory for the rate-dependent inelastic deformation behavior of typical metallic materials, to depict the curved unloading behavior of polyphenylene oxide (PPO). The constitutive equations are characterized by the evolution laws of two state variables that are related to the elastic modulus and the back stress. The simulation results are compared with the experimental data obtained by Krempl and Khan [2003, Int. J. Plasticity 19, 1069-1095].

차체용 부재의 동적 인장 특성 및 충돌 특성 평가를 위한 시험장비 개발 (Testing Equipments for the Evaluation of Dynamic Tensile characteristics and the Crashworthiness of Auto-body Members)

  • 허훈;김석봉
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2007년도 추계학술대회 논문집
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    • pp.21-24
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    • 2007
  • This paper deals with introduction of testing equipments for the evaluation of dynamic tensile characteristics of auto-body steel sheets and the crashworthiness of auto-body members. The servo-hydraulic high speed material testing machine was developed for tensile tests at the intermediate strain rate to obtain the tensile material properties at the strain rate under 500/sec. The split Hopkinson bar apparatus using the elastic wave was developed for dynamic material characteristics at the high strain rate ranged from 1,000 to 10,000/sec. The servo-hydraulic high speed crash testing machine is the equipment for the evaluation of the collapse load and crashworthiness of auto-body members. High speed carrying truck crashes to specimen with the maximum velocity of 17 m/sec.

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$Li_2O$.$2SiO_2$유리의 결정화에서 승온속도가 기계적 특성에 미치는 영향 (effect of Heating Rate on the Mechanical Properties in the Crystallization of $Li_2O$.$2SiO_2$ Glass)

  • 최병현;고경현;안재환;지응업
    • 한국세라믹학회지
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    • 제33권7호
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    • pp.809-815
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    • 1996
  • When Li2O.2SiO2 glass was crystallized between the temperature of maximum nucleation and the temperature of maximum crystal growth it was found that the control of heating rate had serious effect on the crystallinity and microstructure and the greatly changed physical properties. Density and elastic modulus tends to increase but thermal expansion coefficient decreased with increased crystallinity. When heating rate between the tempe-rature of maximum nucleation and the temperature of maximum crystal growth was 10~5$0^{\circ}C$/hr. crystallinity was increased to result in the increment of strength. When nuclation was done at 44$0^{\circ}C$ for 5 hours and the temperature of crystal growth was held at 575$^{\circ}C$ strength was increased until crystallinity reached 65% and strength was decreased with higher crystallinity. These phenomena could be explained that even for the same crystallinity different heat rates resulted in different number and size of cracks.

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Vibration analysis of sandwich sector plate with porous core and functionally graded wavy carbon nanotube-reinforced layers

  • Feng, Hongwei;Shen, Daoming;Tahouneh, Vahid
    • Steel and Composite Structures
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    • 제37권6호
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    • pp.711-731
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    • 2020
  • This paper deals with free vibration of FG sandwich annular sector plates on Pasternak elastic foundation with different boundary conditions, based on the three-dimensional theory of elasticity. The plates with simply supported radial edges and arbitrary boundary conditions on their circular edges are considered. The influence of carbon nanotubes (CNTs) waviness, aspect ratio, internal pores and graphene platelets (GPLs) on the vibrational behavior of functionally graded nanocomposite sandwich plates is investigated in this research work. The distributions of CNTs are considered functionally graded (FG) or uniform along the thickness of upper and bottom layers of the sandwich sectorial plates and their mechanical properties are estimated by an extended rule of mixture. In this study, the classical theory concerning the mechanical efficiency of a matrix embedding finite length fibers has been modified by introducing the tube-to-tube random contact, which explicitly accounts for the progressive reduction of the tubes' effective aspect ratio as the filler content increases. The core of structure is porous and the internal pores and graphene platelets (GPLs) are distributed in the matrix of core either uniformly or non-uniformly according to three different patterns. The elastic properties of the nanocomposite are obtained by employing Halpin-Tsai micromechanics model. A semi-analytic approach composed of 2D-Generalized Differential Quadrature Method (2D-GDQM) and series solution is adopted to solve the equations of motion. The fast rate of convergence and accuracy of the method are investigated through the different solved examples. Some new results for the natural frequencies of the plate are prepared, which include the effects of elastic coefficients of foundation, boundary conditions, material and geometrical parameters. The new results can be used as benchmark solutions for future researches.

Polarization Precession Effects for Shear Elastic Waves in Rotated Solids

  • Sarapuloff, Sergii A.
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2013년도 춘계학술대회 논문집
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    • pp.842-848
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    • 2013
  • Developments of Solid-State Gyroscopy during last decades are impressive and were based on thin-walled shell resonators like HRG or CRG made from fused quartz or leuko-sapphire. However, a number of design choices for inertial-grade gyroscopes, which can be used for high-g applications and for mass- or middle-scale production, is still very limited. So, considerations of fundamental physical effects in solids that can be used for development of a miniature, completely solid-state, and lower-cost sensor look urgent. There is a variety of different types of bulk acoustic (elastic) waves (BAW) in anisotropic solids. Shear waves with different variants of their polarization have to be studied especially carefully, because shear sounds in glasses and crystals are sensitive to a turn of the solid as a whole, and, so, they can be used for development of gyroscopic sensors. For an isotropic medium (for a glass or a fine polycrystalline body), classic Lame's theorem (so-called, a general solution of Elasticity Theory or Green-Lame's representation) has been modified for enough general case: an elastic medium rotated about an arbitrary set of axes. Travelling, standing, and mixed shear waves propagating in an infinite isotopic medium (or between a pair of parallel reflecting surfaces) have been considered too. An analogy with classic Foucault's pendulum has been underlined for the effect of a turn of a polarizational plane (i.e., an integration effect for an input angular rate) due to a medium's turn about the axis of the wave propagation. These cases demonstrate a whole-angle regime of gyroscopic operation. Single-crystals are anisotropic media, and, therefore, to reflect influence of the crystal's rotation, classic Christoffel-Green's tensors have been modified. Cases of acoustic axes corresponding to equal velocities for a pair of the pure-transverse (shear) waves have of an evident applied interest. For such a special direction in a crystal, different polarizations of waves are possible, and the gyroscopic effect of "polarizational precession" can be observed like for a glass. Naturally, formation of a wave pattern in a massive elastic body is much more complex due to reflections from its boundaries. Some of these complexities can be eliminated. However, a non-homogeneity has a fundamental nature for any amorphous medium due to its thermodynamically-unstable micro-structure, having fluctuations of the rapidly-frozen liquid. For single-crystalline structures, blockness (walls of dislocations) plays a similar role. Physical nature and kinematic particularities of several typical "drifts" in polarizational BAW gyros (P-BAW) have been considered briefly too. They include irregular precessions ("polarizational beats") due to: non-homogeneity of mass density and elastic moduli, dissymmetry of intrinsic losses, and an angular mismatch between propagation and acoustic axes.

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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.

DLC 코팅한 Fe-3.0%Ni-0.7%Cr-1.4%Mn-X강의 표면특성평가 (Characterization of DLC Coated Surface of Fe-3.0%Ni-0.7%Cr-1.4%Mn-X Steel)

  • 장재철;김송희
    • 한국표면공학회지
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    • 제47권1호
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    • pp.13-19
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    • 2014
  • The various surface treated conditions of Fe-3.0%Ni-0.7%Cr-1.4%Mn-X steel such as as-received, ion nitriding, DLC coated, DLC coated after nitriding for 3 hrs and 6 hrs were investigated to evaluate the beneficial effect for plastic mold steel. Micro Vickers hardness tester was used to estimate nitriding depth from the hardness profile and to measure hardness on the surface. Elastic modulus and residual stress were measured by a nanoindentator. Scratch test and SP (small ball punch test) were utilized to assess the adhesive strength of DLC coating. The depth of nitriding layer was measured as $50{\mu}m$ for the condition of 3 hrs nitriding and $90{\mu}m$ for that of 6 hrs nitriding. Hardness, elastic modulus, residual stress of DLC coating were 20.37 GPa, 162.78 GPa and -1456 MPa respectively. Residual stress on the surface of DLC coating after nitriding could increase to -3914 MPa by introducing nitriding before DLC coating. During the 'Ball-On-Disc' test ${\gamma}^{\prime}$ particles pulled out from the surface of nitrized layer tend to enhance abrasive wear mode since the fraction of ${\gamma}^{\prime}$ (Fe4N) in ion-nitrized layer is known to increases with nitriding time. Thus the specific wear rate of the nitriding layer increased. Comparing with nitriding the specific wear rate in work piece disc as well as ball decreased prominently in DLC coating due to the remarkable reduction in friction coefficient.

수종의 합성 고무탄성재의 성질에 관한 연구 (PHYSICAL PROPERTIES OF VAR10US BRANDS OF ELASTOMERIC CHAINS)

  • 김경호;황충주;성상진
    • 대한치과교정학회지
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    • 제27권6호
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    • pp.943-954
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    • 1997
  • 교정적인 치아이동에 필요한 힘들은 orthodontic wire나 여러 가지 elastic rubber등으로 얻을 수 있다. 이중 교정용 elastic rubber는 환경 변화, 시간 경과, 신장(stretch) 정도에 따라 영구 변형과 힘의 소실(force decay)이 다양하게 나타나므로 적용된 힘을 예측하기 힘든 단점이 있다. 본 연구에서는 임상에서 널리 사용되는 3가지 종류 (Ormco : Generation II Power Chains ; brand A, RMO : Energy-Chain ; brand B, Unitek : AlastiK ; brand C)의 교정용 합성고무탄성재를 실험 환경, 초기 힘의 크기, 고무탄성재의 형태 그리고 신장속도를 달리한 뒤 시간에 따른 잔존 힘의 변화를 비교하였으며, 종류에 따른 특징적인 물리적 성질에 대하여 다음과 같은 결론을 얻었다. 1. 세 종류 모두에서 상온의 공기에 보관된 경우 잔존 힘의 비율이 가장 컸으며 물과 타액 간에는 차이가 없었다. 2. 세 종류 모두에서 24시간 이후로는 초기 힘의 크기에 따른 잔존 힘의 비율에 차이가 없었다. 3. A, B는 filament 유무에 따른 잔존 힘의 비율에 차이가 없었으나 C에서는 filament가 있는 경우 힘의 소실이 더 많았다. 4. 신장속도를 달리하여도 잔존 힘의 비율에는 큰 차이가 없었다. 5. B는 각각의 실험조건에서 A, C보다 상대적으로 잔존 힘의 비율이 높았다.

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직접전단시험에 의한 다양한 시료의 전단강도 특성 (Characteristics of Shear Strength Parameters of Various Soils by Direct Shear Test)

  • 박춘식;정정근
    • 터널과지하공간
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    • 제28권6호
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    • pp.584-595
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    • 2018
  • 흙의 전단강도의 적절한 기준을 제시하기 위해 모래질, 점토질, 자갈질의 약 290 여개의 재료에 대하여 직접전단시험을 수행하였다. 흙의 대분류에 의한 모래질 흙의 전단강도는 모래 함유율이 많은 흙일수록 내부마찰각은 증가하는 경향이 뚜렷하게 나타났으며, 그 범위는 $23.5^{\circ}{\sim}34.9^{\circ}$에 분포하고 있는 것으로 나타났고, 점착력은 2.0 kPa~15.7 kPa 사이에서 골고루 분포하는 것으로 나타났다. 탄성계수는 하중단계에 따라 뚜렷하게 구분할 수 있었으며, 수직하중이 증가할수록 약 80%씩 증가하였다. 점토질 흙의 내부마찰각은 $15.0^{\circ}{\sim}28.6^{\circ}$의 범위에서 점토성분 함유율이 많아질수록 감소하는 경향이 나타났고, 점착력은 일정한 범위로 증가하는 경향이 나타났다. 점토질 흙의 탄성계수는 거의 같은 증가비로 초기탄성계수만 약간 증가하는 경향을 나타내었다. 자갈질 흙의 내부마찰각은 $29.9^{\circ}{\sim}36.7^{\circ}$의 범위로 뚜렷한 특성을 파악할 수 없었다. 세부분류에 따른 SW(입도분포가 좋은 모래), SP(입도분포가 나쁜 모래), SC(점토 섞인 모래), SM(실트 섞인 모래)의 점착력은 실트함유율이 가장 많은 SM 시료에 비해 SC는 약 94%, SW는 약 78%, SP는 약 59% 정도 값을 나타내었다. 또한 내부마찰각은 ML(액성한계가 낮은 실트)과 CL(액성한계가 낮은 점토)이 거의 같은 거동 특성을 나타내었고, MH(액성한계가 높은 실트)는 ML의 약 88% 값을 나타내었다. 점착력에 대한 변화는 거의 비슷한 증가비를 나타내었다.

Critical thrust force and feed rate determination in drilling of GFRP laminate with backup plate

  • Heidary, Hossein;Mehrpouya, Mohammad A.;Saghafi, Hamed;Minak, Giangiacomo
    • Structural Engineering and Mechanics
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    • 제73권6호
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    • pp.631-640
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    • 2020
  • Using backup plate is one of the most commonly used methods to decrease drilling-induced delamination of composite laminates. It has been shown that, the size of the delamination zone is related to the vertical element of cutting force named as thrust force. Also, direct control of thrust force is not a routine task, because, it depends on both drilling parameters and mechanical properties of the composite laminate. In this research, critical feed rate and thrust force are predicted analytically for delamination initiation in drilling of composite laminates with backup plate. Three common theories, linear elastic fracture mechanics, classical laminated plate and mechanics of oblique cutting, are used to model the problem. Based on the proposed analytical model, the effect of drill radius, chisel edge size, and backup plate size on the critical thrust force and feed rate are investigated. Experimental tests were carried out to prove analytical model.