• Title/Summary/Keyword: 균질변형률

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Homogenization of Elastic Cracks in Hoek-Brown Rock (Hoek-Brown 암석에서 발생된 탄성균열의 균질화)

  • Lee, Youn-Kyou;Jeon, Seok-Won
    • Tunnel and Underground Space
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    • v.19 no.2
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    • pp.158-166
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    • 2009
  • As a basic study for investigating the development of the stress-induced crack in Hoek-Brown rock, a homogenization technique of elastic cracks is proposed. The onset of crack is monitored by Hoek-Brown empirical criterion, while the orientation of the crack is determined by the critical plane approach. The concept of volume averaging in stress and strain component was invoked to homogenize the representative rock volume which consists of intact rock and cracks. The formulation results in the constitutive relations for the homogenized equivalent anisotropic material. The homogenization model was implemented in the standard FEM code COSMOSM. The numerical uniaxial tests were performed under plane strain condition to check the validity of the propose numerical model. The effect of friction between the loading plate and the rock sample on the mode of deformation and fracturing was examined by assuming two different contact conditions. The numerical simulation revealed that the homogenized model is able to capture the salient features of deformation and fracturing which are observed commonly in the uniaxial compression test.

Strain Rate-dependent Model for Anisotropic Cohesive Soils (비등방성 점성토에 있어서 변형률속도 의존적 구성모델)

  • Kim, Dae-Kyu
    • Journal of the Korean Geotechnical Society
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    • v.19 no.3
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    • pp.15-22
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    • 2003
  • The appropriate description of the stress-anisotropy and time-dependent behavior of cohesive soils is very important in representing the real soil behavior. In this study, two constitutive relations have been incorporated based on the generalized viscous theory: one is the plastic constitutive relation adopted to capture the stress-anisotropy with a few model parameters; the other is the rate-dependent constitutive relation adopted to describe the strain rate-dependent behavior, an important time-dependent behavior in cohesive soils. The incorporated and proposed constitutive model has relatively a few model parameters and their values need not to be re-evaluated at different strain rates. The proposed model has been verified and investigated with the anisotropic triaxial test results obtained by using the artificial homogeneous specimens.

Micromechanical Properties in Elastically Inhomogeneous Materials (Part I : Theoretical Basis) (탄성 불균질 재료의 미시역학거동 (Part I :이론적 기초))

  • Gang, Chang-Seok;Hong, Seong-Gil;Wakashima, Kenji
    • Korean Journal of Materials Research
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    • v.11 no.5
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    • pp.354-360
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    • 2001
  • By applying Eshelby's theory on the'transformation' and' inhomogeneity'problems of an ellipsoidal inclusion, a microscopic stress-strain is formulated for a composite material consisting of a matrix and a large number of aligned ellipsoidal inclusions. Some of the composites of practical interest, such as unidirectionally fiber- reinforced, Particle dispersion strengthened and layered composites can be treated by changing the axial ratios of the ellipsoidal inclusion. The macroscopic stress-strain relation obtained is applicable to elastic and elasto-plastic deformation of the composite in uniform loading.

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A Data-driven Multiscale Analysis for Hyperelastic Composite Materials Based on the Mean-field Homogenization Method (초탄성 복합재의 평균장 균질화 데이터 기반 멀티스케일 해석)

  • Suhan Kim;Wonjoo Lee;Hyunseong Shin
    • Composites Research
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    • v.36 no.5
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    • pp.329-334
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    • 2023
  • The classical multiscale finite element (FE2 ) method involves iterative calculations of micro-boundary value problems for representative volume elements at every integration point in macro scale, making it a computationally time and data storage space. To overcome this, we developed the data-driven multiscale analysis method based on the mean-field homogenization (MFH). Data-driven computational mechanics (DDCM) analysis is a model-free approach that directly utilizes strain-stress datasets. For performing multiscale analysis, we efficiently construct a strain-stress database for the microstructure of composite materials using mean-field homogenization and conduct data-driven computational mechanics simulations based on this database. In this paper, we apply the developed multiscale analysis framework to an example, confirming the results of data-driven computational mechanics simulations considering the microstructure of a hyperelastic composite material. Therefore, the application of data-driven computational mechanics approach in multiscale analysis can be applied to various materials and structures, opening up new possibilities for multiscale analysis research and applications.

Analysis of Deformation of Brass Tube Drawn By Various Methods (인발 방법에 따른 황동관의 변형 해석)

  • ;Oh Kyu Hwan;Lee Dong Nyung
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1995.10a
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    • pp.76-85
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    • 1995
  • The general equation of homogeneous strin for tube drawing has been derived. This can be applied to the general tube drawing method for non-zero plug angle. Also, the derived equation can represent Blazynski's equations for the sinking and tube drawing with a constant plug diameter. The general tube drawing was divided into two steps, sinking and contact drawing zones. The derived equation can calculate the homogeneous strains of the two steps. The various tube drawing methods such as fixed tapered plug, fixed mandrel, fixed back tapered plug, and floating plug have been analysed by the equation and finite element analysis. From the FEM calculations, the total strains and drawing stresses are obtained and consequently the redundancy factor of various drawing methods was analysed. The fixed back tapered plug method showed the largest redundancy factor and the floating plug method had the largest drawing stress.

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Viscoelastic Behavior of High Density Polyethylene Using High Tibial Osteotomy with Respect to the Strain Rate (근위경골절골술(HTO)용 X-밴드 플레이트에 적용되는 고밀도 폴리에틸렌(HDPE)의 변형률속도에 따른 점탄성거동)

  • Hwang, Jung-Hoon;Kim, Cheol-Woong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.36 no.4
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    • pp.431-438
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    • 2012
  • The mechanical behavior of the polymeric material, HDPE depends on both time and temperature. The study of the tensile behavior at different strain rates is important in engineering design of the orthopedics device such as X-band plate. The mechanical properties and deformation mechanisms of HDPE are strongly dependent on the applied strain rate. Generally, the deformation behavior of HDPE based on the stress-strain curve is complex because of the highly inhomogeneous nature of plastic deformation, particularly that of necking. Therefore, we attempted to determine the mechanical behavior of HDPE in this study. Normally, tensile testing under various strain rates of the HDPE has been used to determine the mechanical behavior. We performed tensile tests at various strain rates (1 to 500 %/min) to analyze the viscoelastic behavior on increasing the strain rate. A tensile stress-strain curve was plotted from the data, and the point of transition was marked to calculate the transition stress, strain, and modulus.

분자동역학을 이용한 다공성 물질 건조공정 멀티스케일 시뮬레이션(1부 : 균질화법 해석)

  • 금영탁;오진원;백성민
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.05a
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    • pp.67-67
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    • 2004
  • 다공성 물질을 건조하거나 습한 환경에 노출시키면 열과 수분이 외부로 전달된다. 열 및 수분 전달로 인한 은도 및 습도의 변화는 물질 체적을 변화시켜 습열 응력을 유발시킨다 즉 다공성 제품의 품질은 외양뿐만 아니라 건조 공정 시의 온도, 수분함유량, 응력, 변형률 등의 공정변수에 크게 영향을 받는다. 최근까지도 다공성 물질의 생산 공정은 다수의 공정변수를 갖는 복합공정이기 때문에 이들의 영향을 정량적으로 평가하는 것은 매우 까다로워 현장 경험에 기초한 기술자의 노하우에 의존해 왔다.(중략)

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Development of the Simplified Analysis Model for RC Structures Considering Plastic Behavior (소성거동을 고려한 RC 구조물의 간략화 해석모델에 관한 연구)

  • 정연주;유영찬
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.13 no.3
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    • pp.361-371
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    • 2000
  • RC structure is the composite material system combined concrete and steel showing different plastic behavior. Especially, concrete shows very complex plastic behavior. Therefore, for plastic analysis of RC structures, we have to model carefully each plastic behavior of concrete and steel member. But, because of divergency as well as difficulties and dimensions of modelling, it takes a lot of time and labor or sometimes it is impossible to perform plastic analysis of RC structures. In this study, for simplified plastic analysis of RC structures, we propose material transformation method by homogeneous and isotropic material which have the same plastic property as RC. We generate homogeneous and isotropic material showing the same moment-curvature curves (bi-linear stress-strain relation) as RC members, using bi-linear moment-curvature relation by yielding moment, yielding curvature and ultimate moment, ultimate curvature of RC member. Finally, we prove compatibility in the study by comparing plastic analysis results for various analysis models using transformed material models and RC model.

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Homogenization of Plastic Behavior of Metallic Particle/Epoxy Composite Adhesive for Cold Spray Deposition (저온 분사 공정을 위한 금속입자/에폭시 복합재료 접착제의 소성 거동의 균질화 기법 연구)

  • Yong-Jun Cho;Jae-An Jeon;Kinal Kim;Po-Lun Feng;Steven Nutt;Sang-Eui Lee
    • Composites Research
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    • v.36 no.3
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    • pp.199-204
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    • 2023
  • A combination of a metallic mesh and an adhesive layer of metallic particle/epoxy composite was introduced as an intermediate layer to enhance the adhesion between cold-sprayed particles and fiber-reinforced composites (FRCs). Aluminum was considered for both the metallic particles in the adhesive and the metallic mesh. To predict the mechanical characteristics of the intermediate bond layer under a high strain rate, the properties of the adhesive layer needed to be calculated or measured. Therefore, in this study, the Al particle/epoxy adhesive was homogenized by using a rule of mixture. To verify the homogenization, the penetration depth, and the thickness decrease after the cold spray deposition from the undeformed surface, was monitored with FE analysis and compared with experimental observation. The comparison displayed that the penetration depth was comparable to the diameters of one cold spray particle, and thus the homogenization approach can be reasonable for the prediction of the stress level of particulate polymer composite interlayer under a high strain rate for cold spray processing.