• Title/Summary/Keyword: Strain invariant

Search Result 23, Processing Time 0.022 seconds

Improvement of Enhanced Assumed Strain Four-node Finite Element Based on Reissner-Mindlin Plate Theory (개선된 추가변형률 4절점 평판휨 요소)

  • Chun, Kyoung Sik;Park, Dae Yong;Chang, Suk Yoon
    • Journal of Korean Society of Steel Construction
    • /
    • v.16 no.3 s.70
    • /
    • pp.295-303
    • /
    • 2004
  • In this paper, an improved four-node Reissner-Mindlin plate-bending element with enhanced assumed strain field is presented for the analysis of isotropic and laminated composite plates. To avoid the shear locking and spurious zero energy modes, the transverse shear behavior is improved by the addition of a new enhanced shear strain based on the incompatible displacement mode approach and bubble function. The "standard" enhanced strain fields (Andelfinger and Ramm, 1993) are also employed to improve the in-plane behaviors of the plate elements. The four-node quadrilateral element derived using the first-order shear deformation theory is designated as "14EASP". Several applications are investigated to assess the features and the performances of the proposed element. The results are compared with other finite element solutions and analytical solutions. Numerical examples show that the element is stable, invariant, passes the patch test, and yields good results especially in highly distorted regimes.

Modeling and Analysis of Size-Dependent Structural Problems by Using Low-Order Finite Elements with Strain Gradient Plasticity (변형률 구배 소성 저차 유한요소에 의한 크기 의존 구조 문제의 모델링 및 해석)

  • Park, Moon-Shik;Suh, Yeong-Sung;Song, Seung
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.35 no.9
    • /
    • pp.1041-1050
    • /
    • 2011
  • An elasto-plastic finite element method using the theory of strain gradient plasticity is proposed to evaluate the size dependency of structural plasticity that occurs when the configuration size decreases to micron scale. For this method, we suggest a low-order plane and three-dimensional displacement-based elements, eliminating the need for a high order, many degrees of freedom, a mixed element, or super elements, which have been considered necessary in previous researches. The proposed method can be performed in the framework of nonlinear incremental analysis in which plastic strains are calculated and averaged at nodes. These strains are then interpolated and differentiated for gradient calculation. We adopted a strain-gradient-hardening constitutive equation from the Taylor dislocation model, which requires the plastic strain gradient. The developed finite elements are tested numerically on the basis of typical size-effect problems such as micro-bending, micro-torsion, and micro-voids. With respect to the strain gradient plasticity, i.e., the size effects, the results obtained by using the proposed method, which are simple in their calculation, are in good agreement with the experimental results cited in previously published papers.

Prediction of the Diffusion Controlled Boundary Layer Transition with an Adaptive Grid (적응격자계를 이용한 경계층의 확산제어천이 예측)

  • Cho J. R.
    • Journal of computational fluids engineering
    • /
    • v.6 no.4
    • /
    • pp.15-25
    • /
    • 2001
  • Numerical prediction of the diffusion controlled transition in a turbine gas pass is important because it can change the local heat transfer rate over a turbine blade as much as three times. In this study, the gas flow over turbine blade is simplified to the flat plate boundary layer, and an adaptive grid scheme redistributing grid points within the computation domain is proposed with a great emphasis on the construction of the grid control function. The function is sensitized to the second invariant of the mean strain tensor, its spatial gradient, and the interaction of pressure gradient and flow deformation. The transition process is assumed to be described with a κ-ε turbulence model. An elliptic solver is employed to integrate governing equations. Numerical results show that the proposed adaptive grid scheme is very effective in obtaining grid independent numerical solution with a very low grid number. It is expected that present scheme is helpful in predicting actual flow within a turbine to improve computation efficiency.

  • PDF

대변형 초탄성 재료의 해석을 위한 무요소 적응기법

  • 전석기;정동원
    • Proceedings of the Korean Society of Precision Engineering Conference
    • /
    • 1995.10a
    • /
    • pp.736-739
    • /
    • 1995
  • The meshless adaptive method based on multiple scale analysis is developed to simulate large deformation problems. In the procedure, new particles are simply added to the orginal particle distribution because meshless methods do not require mesh structures in the formulations. The high scale component of the approximated solution detects the localized region where a refinement is needed. The high scale component of the second invariant od Green-Lagrangian strain tensor is suggested as the new high gradient detector for adaptive procedures. The feasibility of the proposed theory is demonstrated by a numerical experiment for the large deformation of hyperelastic materials.

  • PDF

Finite Element Analysis of P/M Connecting Rod Forging (분말컨넥팅로드 단조의 유한 요소 해석)

  • Park, Jong-Jin
    • Transactions of Materials Processing
    • /
    • v.1 no.1
    • /
    • pp.33-41
    • /
    • 1992
  • Sintered P/M connecting rod is forged to increase density and to satisfy dimensional specifications. Flow of the materials is different form that of wrought materials due to pores in the preform. The Mises yield function was modified to. include the first invariant of stress tensor, and the associated flow rule was derived by applying the normality rule to the yield function. Axisymmetric and plane-strain finite element analyes were carried out for the ring and beam portions of the connecting rod, respectively. The flow of the preform and density change of the analysis are presented in this paper. A load-stroke curve was also presented by superimposing analysis results for the ring and beam portions.

  • PDF

A Nonlinear Constitutive Model for Progressive Fracturing of Concrete (콘크리트의 점진적(漸進的) 파괴(破壞)에 대한 비선형(非線型) 구성(構成)모델확립연구(硏究))

  • Oh, Byung Hwan
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.4 no.2
    • /
    • pp.55-64
    • /
    • 1984
  • Presented is a nonlinear constitutive model for progressive tensile fracturing of concrete. The model is incremental, path-dependent, and tensorialy invariant. The total strain tensor is assumed to be a sum of a purely elastic component and an inelastic component. The material is considered to contain weak planes of all directions which characterize the planes of the microcracks. A one-to-one functional dependence is assumed between the normal stress and the normal strain across each of the weak planes. The tangential stiffness of concrete is then derived form the principle of virtual work. The present theory can be applied to loading histories which are nonproportional or during which the principal directions rotate. Good agreement with the available direct tensile test data which cover strain-softening is demonstrated.

  • PDF

Heat Aging Effects on the Material Property and the Fatigue Life of Vulcanized Natural Rubber, and Fatigue Life Prediction Equations

  • Choi Jae-Hyeok;Kang Hee-Jin;Jeong Hyun-Yong;Lee Tae-Soo;Yoon Sung-Jin
    • Journal of Mechanical Science and Technology
    • /
    • v.19 no.6
    • /
    • pp.1229-1242
    • /
    • 2005
  • When natural rubber is used for a long period of time, it becomes aged; it usually becomes hardened and loses its damping capability. This aging process affects not only the material property but also the (fatigue) life of natural rubber. In this paper the aging effects on the material property and the fatigue life were experimentally investigated. In addition, several fatigue life prediction equations for natural rubber were proposed. In order to investigate the aging effects on the material property, the load-stretch ratio curves were plotted from the results of the tensile test, the compression test and the simple shear test for virgin and heat-aged rubber specimens. Rubber specimens were heat-aged in an oven at a temperature ranging from $50^{\circ}C$ to $90^{\circ}C$ for a period ranging from 2 days to 16 days. In order to investigate the aging effects on the fatigue life, fatigue tests were conducted for differently heat-aged hourglass-shaped and simple shear specimens. Moreover, finite element simulations were conducted for the specimens to calculate physical quantities occurring in the specimens such as the maximum value of the effective stress, the strain energy density, the first invariant of the Cauchy-Green deformation tensor and the maximum principal nominal strain. Then, four fatigue life prediction equations based on one of the physical quantities could be obtained by fitting the equations to the test data. Finally, the fatigue life of a rubber bush used in an automobile was predicted by using the prediction equations, and it was compared with the test data of the bush to evaluate the reliability of those equations.

Determination of pressure-Dependent Yield . Criterion for Polymeric Foams (폴리머 폼 재료의 정수압 종속 항복조건 결정에 관한 연구)

  • 김영민;강신일
    • Transactions of Materials Processing
    • /
    • v.11 no.1
    • /
    • pp.69-74
    • /
    • 2002
  • In addition to lightweight and moldable characteristics, polymeric foams possess an excellent energy absorbing capability that can be utilize for a wide range of commercial applications, especially in the crashworthiness of the automobiles. The purpose of the present study is to develop experimental methodology to characterize the pressure dependent yield behavior of the energy absorbing polymeric foams. For the compression test in a triaxial stress sate, a specially designed device was placed in a hydraulic press to produce and control oil pressure. For the test material, the polyurethane foams of two different densities were used. The displacement of the specimen, the load subjected to the specimen, and oil pressure applied to the specimen were measured and controlled. Stress strain curves and yield stresses for the four different oil pressure were obtained. It was found from the present experiments that the polyurethane foams exhibited significant increases in yield stress with applied pressure or mean normal stress. Based on this observation, a yield criteria which included the effect of the stress invariant were established for the polymeric foams. The obtained experimental constants which constituted the pressure-dependent yield criterion were verified.

Optimal Vibration Control of a Plate Using Optical Fiber Sensor and Piezoelectric Actuator (광섬유 센서와 압전 작동기를 이용한 평판의 최적 진동 제어)

  • Kim, Do-Hyung;Han, Jae-Hung;Yang, Seung-Man;Kim, Dae-Hyun;Lee, In;Kim, Chun-Gon;Hong, Chang-Sun
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.12 no.4
    • /
    • pp.294-301
    • /
    • 2002
  • Vibration control of a plate using an optical fiber sensor and a piezoelectric actuator is considered in the present study, An aluminum plate with attached Extrinsic Fabry-Perot Interferometer (EFPI) and piezoelectric actuator is prepared for experimental investigation. Vibration level of EFPI that can represent the mechanical strain without severe distortion Is validated by forced nitration experiment. A linear time invariant system model is constructed based on the experimentally obtained frequency responses, and an optimal controller is designed for the multi-modal vibration suppression. Control performance is presented in frequency and time domains. It is found that the nitration level of the first three modes can be greatly reduced. The effect of low-pass filtering used to eliminate high frequency noise on the stability and control performance is also considered.

Microstructural engineering of dual phase steel to aid in bake hardening

  • Banerjee, M.K.
    • Advances in materials Research
    • /
    • v.4 no.1
    • /
    • pp.1-12
    • /
    • 2015
  • Low carbon steel of composition 0.05C - 0.18 Mn - 0.012 Si is intercritically annealed at temperatures $750^{\circ}C$, $775^{\circ}C$ and $800^{\circ}C$. The equilibrated alloys of different amounts of austenite with varying carbon contents are quenched in iced water. The same alloys are subcritically annealed at $675^{\circ}C$ and $700^{\circ}C$ for varying periods of times; the subcritically annealed alloy samples are quenched in iced water. Optical, scanning electron and transmission electron microscopy are carried out for all the samples. The dislocation structure, its distribution and density present in the above prepared duplex ferrite martensite steels are studied. The martensites are found to be highly dislocated due to lattice invariant deformation. At the same time ferrite adjoining the martensite areas also exhibits quite a high dislocation density. The high dislocation density is favorable for strain ageing and hence bakes hardenability. EDS analyses were carried out for both martensite and ferrite phases; it is found that the degree of supersaturation in ferrite together with carbon content in martensite varies with the process parameters. The microhardness test results show that the hardness values of different phases differ appreciably with process parameters. The microstructures and the corresponding microanalyses reveal that differently processed steels contain phases of varying compositions and different distribution.