• Title/Summary/Keyword: Modulus function

Search Result 488, Processing Time 0.027 seconds

A Convergence Test of the Full-potential Linearized Augmented Plane Wave (FLAPW) Method: Ferromagnetic Bulk BCC Fe

  • Seo, Seung-Woo;Song, You-Young;Gul, Rahman;Kim, In-Gee;Weinert, M.;Freeman, A.J.
    • Journal of Magnetics
    • /
    • v.14 no.4
    • /
    • pp.137-143
    • /
    • 2009
  • The convergence behavior of the all-electron full-potential linearized augmented plane-wave (FLAPW) method with the explicit orthogonalization (XO) scheme is tested on ferromagnetic bulk body-centered-cubic Fe. Applying a commonly used criterion relating the plane-wave and angular momentum cutoffs, $l_{max}\;=\;R_{MT}K_{max}$, where $R_{MT}$ is the muffin-tin (MT) sphere radius and $K_{max}$ is the plane-wave cutoff for the basis - the total energy is converged and stable for $K_{max}R_{MT}$ = 10. The total energy convergence dependence on the star-function cutoff, $G_{max}$, is minimal and so a $G_{max}$ of 3$K_{max}$ or a large enough $G_{max}$ is a reasonable choice. We demonstrate that the convergence with respect to $l_{max}$ or a fixed large enough $G_{max}\;and\;K_{max}$ are independent, and that $K_{max}$ provides a better measure of the convergence than $R_{MT}K_{max}$. The dependence of the total energy on $R_{MT}$ is shown to be small if the core states are treated equivalently, and that the XO scheme is able to treat systems with significantly smaller $R_{MT}$ than the standard LAPW method. For converged systems, the calculated lattice parameter, bulk modulus, and magnetic moments are in excellent agreement with the experimental values.

Structure Development in Drawn Poly(trimethylene terephthalate) (연신에 의한 폴리(트리메틸렌 테레프탈레이트)의 구조 변형)

  • 전병환;김환기;강호종
    • Polymer(Korea)
    • /
    • v.27 no.5
    • /
    • pp.477-483
    • /
    • 2003
  • The structure development of drawn poly(trimethylene terephthalate) PTT as a function of draw down ratio and drawing temperature was studied. The special effort was made to find out the effect of structural development on thermal properties and crystallinity in drawn PTT. The changes in shrinkage ratio and mechanical properties were understood base on the level of crystallinity and orientation of the drawn PTT. The stress induced crystallization caused the increase in glass transition temperature and the decrease in cold crystallization temperature and enthalpy. The crystallinity and orientation were dependent upon the level of applied stress level as well as chain flexibility at high drawing temperature. The drawing resulted in the increase of shrinkage ratio but it was minimized by increasing of crystallinity. The development of orientation resulted in increasing modulus and tensile strength while decreasing elongation at break.

Si and Mg Coatings on the Hydroxyapatite Film Formed Ti-29Nb-xHf Alloys by Plasma Electrolyte Oxidation

  • Park, Seon-Yeong;Choe, Han-Cheol
    • Proceedings of the Korean Institute of Surface Engineering Conference
    • /
    • 2017.05a
    • /
    • pp.152-152
    • /
    • 2017
  • Titanium and its alloys have been widely used for biomedical applications. However, the use of the Ti-6Al-4V alloy in biomaterial is then a subject of controversy because aluminum ions and vanadium oxide have potential detrimental influence on the human body due to vanadium and aluminum. Hence, recent works showed that the synthesis of new Ti-based alloys for implant application involves more biocompatible metallic alloying element,such as, Nb, Hf, Zr and Mo. In particular, Nb and Hf are one of the most effective Ti ${\beta}$-stabilizer and reducing the elastic modulus. Plasma electrolyte oxidation (PEO) is known as excellent method in the biocompatibility of biomaterial due to quickly coating time and controlled coating condition. The anodized oxide layer and diameter modulation of Ti alloys can be obtained function of improvement of cell adhesion. Silicon (Si) and magnesium (Mg) has a beneficial effect on bone. Si in particular has been found to be essential for normal bone and cartilage growth and development. In vitro studies have shown that Mg plays very important roles in essential for normal growth and metabolism of skeletal tissue in vertebrates and can be detected as minor constituents in teeth and bone. Therefore, in this study, Si and Mg coatings on the hydroxyapatite film formed Ti-29Nb-xHf alloys by plasma electrolyte oxidation has been investigated using several experimental techniques. Ti-29Nb-xHf (x= 0, 3, 7 and 15wt%, mass fraction) alloys were prepared Ti-29Nb-xHf alloys of containing Hf up from 0 wt% to 15 wt% were melted by using a vacuum furnace. Ti-29Nb-xHf alloys were homogenized for 2 hr at $1050^{\circ}C$. The electrolyte was Si and Mg ions containing calcium acetate monohydrate + calcium glycerophosphate at room temperature. The microstructure, phase and composition of Si and Mg coated oxide surface of Ti-29Nb-xHf alloys were examined by FE-SEM, EDS, and XRD.

  • PDF

Effects of the Thermal Stress and Water Pressure on the Deformation Behavior of Granite (열응력과 수압이 화강암의 변형 거동에 미치는 영향)

  • Yoon, Yong-Kyun
    • Explosives and Blasting
    • /
    • v.29 no.1
    • /
    • pp.34-40
    • /
    • 2011
  • In this study, effects that thermal stress and water pressure have on the deformation behaviour of granite specimens recovered in Gagok Mine are estimated. To analyze effects of the thermal stress and water pressure on the deformation behaviour, granite specimens were preheated with cycles of predetermined temperatures ranging $200^{\circ}C$ to $700^{\circ}C$ and 500, 600, $700^{\circ}C$ specimens were pressurized to 7.5 MPa. The deformation behaviour of the specimens had been studied by performing uniaxial compressive tests. Axial and lateral strains of specimens were found to increase with increasing temperature, and above $600^{\circ}C$, the increase of strains were more pronounced. The reduction trends of uniaxial compressive strength and Young's modulus with temperature appeared to follow an exponential decay function. Specimens under water pressure showed the more inelastic deformation characteristics, which means that water pressure has an effect on the widening and extending of micro-cracks existed in preheated specimens.

Development of Automated Inversion Method for HWAW Method Using Genetic Algorithm (유전자 알고리즘을 이용한 HWAW 방법을 위한 자동화 역산 방법의 개발)

  • Park, Hyung-Choon;Hwang, Hea-Jin
    • Journal of the Korean Geotechnical Society
    • /
    • v.28 no.8
    • /
    • pp.55-63
    • /
    • 2012
  • The evaluation of shear modulus (or shear wave velocity) profile of the site is very important in various fields of geotechnical engineering and various surface wave methods have applied to determine the shear wave velocity profiles and showed good performance. Surface wave methods evaluate the dispersion curve in the field and determine the shear wave velocity profile through the inversion process. In this paper, the automated inversion process using the genetic algorithm is developed for HWAW method which is one of surface wave methods recently developed. The proposed method uses the error function based on the wavelength domain dispersion curve and can determine the reliable shear wave velocity profile not only in shallow depth but also in deep depth. To estimate the validity of the proposed method, numerical simulations and field test were performed and the proposed method was applied to determine the shear wave velocity profiles. Through the numerical simulations and field applications, the promising potential of the proposed method was verified.

Characterization of the Stress in the Luting Cement layer Influenced by Material Properties of Full Veneer Crown (전부피개관의 물성과 시멘트의 물성이 시멘트 내부의 응력에 미치는 영향)

  • Lee, Jun-Young;Lee, Kyu-bok;Lee, Chung-Hee;Jo, Kwang-Hun
    • Journal of Dental Rehabilitation and Applied Science
    • /
    • v.25 no.1
    • /
    • pp.1-12
    • /
    • 2009
  • The objective of this study was to test the effects of crown material, cement type, the direction in which stress is applied and distribution of luting cement that might lead to cement microfracture using 2D Finite Element Method. Twenty three finite element models with a chamfer margin configuration were generated for a mandibular first molar. Crown models exhibited four crown materials: type 3 gold alloy, Ni-Cr alloy, ceramic and composite resin, and two luting cements: zinc phosphate and glass ionomer cements with a thicknesses of $70{\mu}m$. Modeled crowns were loaded axially or obliquely at unit load of 1 N. Areas and levels of stress concentrations within the cement were determined. Stress in the cement layer at the margins of crowns were higher than those in the area away from the margin. Stress under oblique loads were much higher than under axial load. The stiffer crown material produced higher stress and similarly, higher stress were found in cements with the greater Young's modulus.

Design Sensitivity and Reliability Analysis of Plates (판구조물의 설계감도해석 및 신뢰성해석)

  • 김지호;양영순
    • Computational Structural Engineering
    • /
    • v.4 no.4
    • /
    • pp.125-133
    • /
    • 1991
  • For the purpose of efficiently calculating the design sensitivity and the reliability for the complicated structures in which the structural responses or limit state functions are given by implicit form, the probabilistic finite element method is introduced to formulate the deterministic design sensitivity analysis method and incorporated with the second moment reliability methods such as MVFOSM, AFOSM and SORM. Also, the probabilistic design sensitivity analysis method needed in the reliability-based design is proposed. As numerical examples, two thin plates are analyzed for the cases of plane stress and plate bending. The initial yielding is defined as failure criterion, and applied loads, yield stress, plate thickness, Young's modulus and Poisson's ratio are treated as random variables. It is found that the response variances and the failure probabilities calculated by the proposed PFEM-based reliability method show good agreement with those by Monte Carlo simulation. The probabilistic design sensitivity evaluates explicitly the contribution of each random variable to probability of failure. Further, the design change can be evaluated without any difficulty, and their effect on reliability can be estimated quickly with high accuracy.

  • PDF

A Proposal of Tensile Strength Prediction Models Considering Unit Weight of Concrete (콘크리트의 기건 단위질량을 고려한 인장강도 예측모델 제안)

  • Sim, Jae Il;Yang, Keun Hyeok
    • Journal of the Korea institute for structural maintenance and inspection
    • /
    • v.16 no.4
    • /
    • pp.107-115
    • /
    • 2012
  • The present study evaluates the validity of different equations specified in code provisions and proposed by the existing researchers to predict the concrete tensile capacities (direct tensile strength, splitting tensile strength and modulus of rupture) using a comprehensible database including 361 lightweight concrete (LWC), 1,335 normal-weight concrete (NWC) and 221 heavy-weight concrete (HWC) specimens. Most of the equations express the concrete tensile strengths as a function of its compressive strength based on the limited NWC concrete test data. However, the present database shows that the concrete tensile capacities are significantly affected by its unit weight as well. As a result, the inconsistency between experiments and predictions by the different models increases when the concrete unit weight is below 2,100 kg/$m^3$ and concrete compressive strength is above 50 MPa. On the other hand, new models proposed by the present study considering the concrete unit weight predict the tensile strengths of concrete with more accuracy.

A Stress-Strain Relationship of Alkali-Activated Slag Concrete (알칼리활성 슬래그 콘크리트의 응력-변형률 관계)

  • Yang, Keun-Hyeok;Song, Jin-Kyu;Lee, Kyong-Hun
    • Journal of the Korea Concrete Institute
    • /
    • v.23 no.6
    • /
    • pp.765-772
    • /
    • 2011
  • The present study summarizes a series of compressive tests on concrete cylinder in order to examine the stressstrain relationship of alkali-activated (AA) slag concrete. The compressive strength and unit weight of concrete tested ranged from 8.6 MPa to 42.2 MPa and from $2,186kg/m^3$ to $2,343kg/m^3$, respectively. A mathematical equation representing the complete stress-strain curve was developed based on test results recorded from 34 concrete specimens. The modulus of elasticity, strain at peak stress, slopes of ascending and descending branches of stress-strain curves were generalized as a function of compressive strength and unit weight of concrete. The mean and standard deviation of the coefficient of variance between measured and predicted curves were 6.9% and 2.6%, respectively. This indicates that the stress-strain relationship of AA slag concrete is represented properly with more accuracy in the proposed model than in some other available models for ordinary portland cement (OPC) concrete.

Influence of Hydrophobic Silica on Physical Properties of Epoxy Nanocomposites for Epoxy Molding Compounds (에폭시 몰딩 컴파운드를 위한 에폭시 나노복합재료의 소수성 실리카의 영향)

  • Kim, Ki-Seok;Oh, Sang-Yeob;Kim, Eun-Sung;Shin, Hun-Choong;Park, Soo-Jin
    • Elastomers and Composites
    • /
    • v.45 no.1
    • /
    • pp.12-16
    • /
    • 2010
  • In this work, the effect of hydrophobic treated silica on the water absorption, thermal stabilities, and mechanical properties of the epoxy nanocomposites were investigated as a function of the silica content. As filler, fumed silica treated by dimethyldichlorosilane was used. It was found that the silica was well dispersed in the epoxy resins by the melt-mixing method with the addition of a silane coupling agent. The water absorption of the nanocomposites decreased with an increase of the silica content due to the effect of hydrophobic treated silica. The thermal properties, such as thermal degradation temperature, glass transition temperature ($T_g$), and coefficient of thermal expansion (CTE), of the nanocomposites were improved by the addition of silica. Furthermore, the mechanical properties of the nanocomposites, that is, the tensile strength and modulus, were enhanced with increasing silica content. This was attributed to the physically strong interaction between silica and epoxy resins.