• Title/Summary/Keyword: elastic curve

Search Result 459, Processing Time 0.026 seconds

Assessment of negative Poisson's ratio effect on thermal post-buckling of FG-GRMMC laminated cylindrical panels

  • Shen, Hui-Shen;Xiang, Y.
    • Advances in nano research
    • /
    • v.10 no.5
    • /
    • pp.423-435
    • /
    • 2021
  • This paper examines the thermal post-buckling behaviors of graphene-reinforced metal matrix composite (GRMMC) laminated cylindrical panels which possess in-plane negative Poisson's ratio (NPR) and rest on an elastic foundation. A panel consists of GRMMC layers of piece-wise varying graphene volume fractions to obtain functionally graded (FG) patterns. Based on the MD simulation results, the GRMMCs exhibit in-plane NPR as well as temperature-dependent material properties. The governing equations for the thermal post-buckling of panels are based on the Reddy's third order shear deformation shell theory. The von Karman nonlinear strain-displacement relationship and the elastic foundation are also included. The nonlinear partial differential equations for GRMMC laminated cylindrical panels are solved by means of a singular perturbation technique in associate with a two-step perturbation approach and in the solution process the boundary layer effect is considered. The results of numerical investigations reveal that the thermal post-buckling strength for (0/90)5T GRMMC laminated cylindrical panels can be enhanced with an FG-X pattern. The thermal post-buckling load-deflection curve of 6-layer (0/90/0)S and (0/90)3T panels of FG-X pattern are higher than those of 10-layer (0/90/0/90/0)S and (0/90)5T panels of FG-X pattern.

Measurement of Tensile Properties of Copper Foil using Micro-ESPI Technique (마이크로 ESPI기법을 이용한 동 박막의 인장 특성 측정)

  • 김동일;허용학;기창두
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.21 no.8
    • /
    • pp.89-96
    • /
    • 2004
  • Micro-tensile testing system, consisting of a micro tensile loading system and micro-ESPI(Electronic Speckle Pattern Interferometry) system, has been developed for measurement of micro-tensile properties of thin micro-materials. Micro-tensile loading system had a load cell with the maximum capacity of 50N and micro actuator with resolution of 4.5nm in stroke. The system was used to apply a tensile load to the micro-sized specimen. During tensile loading, the micro-ESPI system acquired interferornetric speckle patterns in the deformed specimen and measured the in-plane tensile strain. The ESPI system consisted of a CCD-camera with a lens and the window-based program developed for this experiment. Using this system, stress-strain curves for 4 kinds of electrolytic copper foil 18$\square$m thick were obtained. From these curves, tensile properties, including the elastic modulus. yielding strength and tensile strength, were determined and also values of the plastic exponent and coefficient based on Ramberg-Osgood relationship were evaluated.

A Study on the Relations Between Fracture Strain and Elastic-Plastic Fracture Toughness (탄소성 파괴 인성과 파괴변형률에 관한 연구)

  • 임만배;최재강
    • Proceedings of the Korean Institute of Industrial Safety Conference
    • /
    • 1998.05a
    • /
    • pp.89-97
    • /
    • 1998
  • In this study, under large scale yielding conditions crack propagation is found to governed by parameters based on the J-integral or on the crack opening displacement. But initiation of crack propagation of ductile material seems to be controlled by just on parameter that is the strain. The relationship between the critical value of J-integral and the local fracture strain in uniaxial tensile test in the region of maximum reduction in area. Therefore, the fundamental theorectical equation by the proposed elastic-plastic fracture toughness and the local fracture strain has a merit. in comparison with the ASTM method, which can measure by using the load-displacement curve and the specimens in tenslie test.

  • PDF

A Study on the Relations Between Fracture Strain and Elastic-Plastic Fracture Toughness (탄소성파괴인성과 파괴변형률에 관한 연구)

  • 최재강;임만배
    • Journal of the Korean Society of Safety
    • /
    • v.13 no.4
    • /
    • pp.25-33
    • /
    • 1998
  • In this study, under large scale yielding conditions crack propagation is found to governed by parameters based on the J-integral or on the crack opening displacement. But initiation of crack propagation of ductile material seems to be controlled by just on parameter that is the strain. The relationship between the critical value of J-integral and the local fracture strain in uniaxial tensile test in the region of maximum reduction in area. Therefore, the fundamental theoretical equation by the proposed elastic-plastic fracture toughness and the local fracture strain has a merit, in comparison with the ASTM method, which can measure by using the load-displacement curve and the specimens in tensile test.

  • PDF

A Discrete Analysis of Dynamic Plastic Response of Beam-Columns (Beam-Column의 동적(動的) 역성(逆性) 응답(應答)에 관한 이산화(離散化) 해석(解析))

  • Sung-Hwan,Park;Chang-Doo,Jang
    • Bulletin of the Society of Naval Architects of Korea
    • /
    • v.24 no.3
    • /
    • pp.43-51
    • /
    • 1987
  • In this paper, dynamic elastic, plastic response of beam-columns is analysed using discrete models. composed of rigid bars and springs. The equation of motion is formulated including the shear deformation effect, and the stress change of yielding points is calculated with various yielding criteria. The effect of initial axial force is considered by two ways: (1) including the effect in interaction curve only. (2) including the effect directly in the equation of motion in terms of initial stiffness method is also used in nonlinear interaction procedure. It is found that this model is very effective in analysing not only the plastic response but the elastic response, and present method is more efficient than Finite Element Method from the viewpoint of calculation time and accuracy.

  • PDF

Analysis of the Dispersion Relation of Elastic Waves Propagating on Vibrating Cylindrical Shells

  • Kil, Hyun-Gwon
    • The Journal of the Acoustical Society of Korea
    • /
    • v.20 no.4E
    • /
    • pp.45-51
    • /
    • 2001
  • This paper examines the dispersion relation governing the wave propagation on cylindrical shells. The assumption of thin shells allows the dispersion relation to be separated into three relations related to the propagation of flexural waves and two types of membrane waves. Those relations are used to identify the characteristics of the wave number curves. The dispersion relation provides two and three closed wave number curves below and above the ring frequency. Above the ring frequency three wave number curves are clearly identified to be those of flexural, shear and longitudinal waves, respectively. Below the ring frequency, the characteristics of two wave number curves are identified with dependence of the direction of wave propagation.

  • PDF

Study on the Elastic Characteristics of Living Cells using Atomic Force Microscope Indentation Technique

  • Kwon Eun-Young;Kim Young-Tae;Kim Dae-Eun
    • KSTLE International Journal
    • /
    • v.7 no.1
    • /
    • pp.10-13
    • /
    • 2006
  • In this work, imaging and study of elastic property of the living cell was performed. The motivation of this work was to seek the possibility of exploiting Young's modulus as a disease indicator using Atomic Force Microscope (AFM) and also to gain fundamental understanding of cell mechanics for applications in medical nanorobots of the future. L-929 fibroblast adherent cell was used as the sample. Imaging condition in cell culturing media environment was done in very low speed ($20{\mu}m/ s$) compared to that in the ambient environment. For measuring the Young's modulus of the living cell, AFM indentation method was used. From the force-distance curve obtained from the indentation experiment the Young's modulus could be derived using the Hertz model. The Young's modulus of living L-929 fibroblast cell was $1.29{\pm}0.2$ kPa.

Surface Damage Accumulation in Alumina under the Repeated Normal-Tangential Contact Forces

  • Lee, Kwon-Yong;Choi, Sung-Jong;Youn, Ja-Woong
    • KSTLE International Journal
    • /
    • v.1 no.1
    • /
    • pp.48-51
    • /
    • 2000
  • Surface damage accumulation of alumina ceramics under the cyclic stress state was analyzed. The alternating stress state in repeat pass sliding contact was simulated by a synchronized biaxial (normal and tangential) repeated indentation technique. Wear debris formation mechanism through damage accumulation and fatigue grain failure in both alumina ceramic balls and flat disks was confirmed, and the contact induced surface degradation due to fatigue cracking accumulation was quantified by measuring vertical contact displacement. Variation of structural compliance (slope of load-displacement curve) of two contacting bodies was expressed as a variation of the apparent elastic property, called pseudo-elastic constant, of the contact system.

  • PDF

A Study on Elastic-Plastic Deformation and 3-D FEA for the Berkovich Nano-Indentation (베르코비치 나노인덴테이션에 대한 3차원 유한요소해석과 탄소성 변형에 관한 연구)

  • Yang Hyeon-Yun;Kim Ji-Soo;Yun Jon-Do;Cho Sang-Bong
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.22 no.10 s.175
    • /
    • pp.167-173
    • /
    • 2005
  • The Berkovich nano-indentation is an indentation test method analyzing mechanical properties of materials such as hardness and elastic modulus. The length scale of the penetration is measured in nanometers. Therefore, this method becomes widely useful for analyzing the mechanical property of thin film which can not be measured before. In this paper, comparing two results of the load-displacement curve obtained by the Berkovich nano-indentation and the 3-D finite element analysis, it was confirmed that the 3-D finite element analysis is useful. The phenomenon of pile-up and sink-in due to material properties was discussed by the finite element analysis.

Elastic Properties of Rice Straw Ash Concrete (볏짚재 콘크리트의 탄성 특성)

  • 김영익;민정기;조일호;김경태;성찬용
    • Proceedings of the Korean Society of Agricultural Engineers Conference
    • /
    • 1999.10c
    • /
    • pp.324-329
    • /
    • 1999
  • This study is performed to evaluate an elastic properties of rice straw ash concrete . The following conclusions are drawn ; The ultrasonic pulse velocity is in the range of 4.084 ∼4.336㎧, which has showed abuot the same compared to that of the normal cement concrete. The highest ultrasonic pulse velocity is showed by 5% rice straw ash filled reice straw ash concrete. The dynamic and static modulus of elasticity i sin the range of 294 ${\times}$103 ∼ 347 ${\times}$103 and 266${\times}$ 103 ∼347${\times}$ 103 kgf/$\textrm{cm}^2$ , respectively. It is showed about the same compared to that of the normla cement concrete. The poisson's number of rice straw ash concrete is less than that of the normal cement concrete . The stress-strain curve of concrete which is contained rice straw ash within 10% appear slowly and over 10% appear almost straightly.

  • PDF