• Title/Summary/Keyword: Finite groups

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Green Blends and Composites from Renewable Resources

  • Yu, L.;Petinakis, S.;Dean, K.;Bilyk, A.;Wu, D.
    • Proceedings of the Polymer Society of Korea Conference
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    • 2006.10a
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    • pp.216-216
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    • 2006
  • A special group of polymers, those from renewable resources, has attracted an increasing amount of attention over the last two decades, due to two major reasons: environmental concerns and the limitations of our finite petroleum resources. Generally, polymers from renewable resources (PFRR) can be classified into three groups: (1) natural polymers, such as starch, protein and cellulose; (2) synthetic polymers from natural monomers, such as polylactic acid (PLA); and (3) polymers from microbial fermentation, such as polyhydroxybutyrate (PHB). Like many other petroleum based polymers, various properties of PFRR are also vastly improved through blending and composites formation.

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A Study On The Microstructural Evolution In Hot Rolling (열간압연중 발생하는 미세조직 변화에 관한 연구)

  • 조현중;김낙수
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1995.10a
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    • pp.16-29
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    • 1995
  • A full three-dimensional thermo-coupled rigid-viscoplastic finite element method and the currently developed microstructural evolution system which includes semi-empirical mathematical equations suggested by different research groups were used together to form an integrated system of process and microstructure simulation of hot rolling. The distribution and time history of thermomechanical variables such as temperature, strain, strain rate, and time during pass and between passes were obtained FEM analysis of multipass hot rolling processes. Then distribution of metallurgical variables were calculated successfully on the basis of instantaneous thermomechanical data. For the verification of this method the evolution of microstructure in plate rolling and shape rolling was simulated and their results were compared with the data available in literature. Consequently, this approach makes it passible to describe the realistic evolution of microstructure by avoiding the use of erroneous average value and can be used in CAE of multipass hot rolling.

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Two-Stage Penalized Composite Quantile Regression with Grouped Variables

  • Bang, Sungwan;Jhun, Myoungshic
    • Communications for Statistical Applications and Methods
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    • v.20 no.4
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    • pp.259-270
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    • 2013
  • This paper considers a penalized composite quantile regression (CQR) that performs a variable selection in the linear model with grouped variables. An adaptive sup-norm penalized CQR (ASCQR) is proposed to select variables in a grouped manner; in addition, the consistency and oracle property of the resulting estimator are also derived under some regularity conditions. To improve the efficiency of estimation and variable selection, this paper suggests the two-stage penalized CQR (TSCQR), which uses the ASCQR to select relevant groups in the first stage and the adaptive lasso penalized CQR to select important variables in the second stage. Simulation studies are conducted to illustrate the finite sample performance of the proposed methods.

A CHARACTERIZATION OF SOME PGL(2, q) BY MAXIMUM ELEMENT ORDERS

  • LI, JINBAO;SHI, WUJIE;YU, DAPENG
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.6
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    • pp.2025-2034
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    • 2015
  • In this paper, we characterize some PGL(2, q) by their orders and maximum element orders. We also prove that PSL(2, p) with $p{\geqslant}3$ a prime can be determined by their orders and maximum element orders. Moreover, we show that, in general, if $q=p^n$ with p a prime and n > 1, PGL(2, q) can not be uniquely determined by their orders and maximum element orders. Several known results are generalized.

Special Right Jacobson Radicals for Right Near-rings

  • Rao, Ravi Srinivasa;Prasad, Korrapati Siva
    • Kyungpook Mathematical Journal
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    • v.54 no.4
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    • pp.595-606
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    • 2014
  • In this paper three more right Jacobson-type radicals, $J^r_{g{\nu}}$, are introduced for near-rings which generalize the Jacobson radical of rings, ${\nu}{\in}\{0,1,2\}$. It is proved that $J^r_{g{\nu}}$ is a special radical in the class of all near-rings. Unlike the known right Jacobson semisimple near-rings, a $J^r_{g{\nu}}$-semisimple near-ring R with DCC on right ideals is a direct sum of minimal right ideals which are right R-groups of type-$g_{\nu}$, ${\nu}{\in}\{0,1,2\}$. Moreover, a finite right $g_2$-primitive near-ring R with eRe a non-ring is a near-ring of matrices over a near-field (which is isomorphic to eRe), where e is a right $g_2$-primitive idempotent in R.

Linking bilinear traction law parameters to cohesive zone length for laminated composites and bonded joints

  • Li, Gang;Li, Chun
    • Advances in aircraft and spacecraft science
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    • v.1 no.2
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    • pp.177-196
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    • 2014
  • A theoretical exploration for determining the characteristic length of the cohesive zone for a double cantilever beam (DCB) specimen under mode I loading was conducted. Two traction-separation laws were studied: (i) a law with only a linear elastic stage from zero to full traction strength; and (ii) a bilinear traction law illustrating a progressive softening stage. Two analytical solutions were derived for the first law, which fit well into two existing solution groups. A transcendental equation was derived for the bilinear traction law, and a graphical method was presented to identify the resultant cohesive zone length. The study using the bilinear traction law enabled the theoretical investigation of the individual effects of cohesive law parameters (i.e., strength, stiffness, and fracture energy) on the cohesive zone length. Correlations between the theoretical and finite element (FE) results were assessed. Effects of traction law parameters on the cohesive zone length were discussed.

Characteristic Analysis and Design of PC Probe for Eddy Current Testing (와전류탐상을 위한 PC 프로브의 특성해석 및 설계)

  • Kim Yong Taek;Lee Hyang-beom
    • Proceedings of the KIEE Conference
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    • summer
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    • pp.965-967
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    • 2004
  • In this paper, characteristic analysis of PC(Pancake Coil) probe with the size variation is presented for eddy current testing. Characteristics of probe are numerically calculated by using the finite element method. From the numerical analysis, the optimum frequency and groups for an experiment are selected. Probes are made and experiment is performed. From the experimental results, the probe shows maximum sensitivity when the size of defect is equal to the size of probe and when the inside diameter is similar to the width of probe and when the height is low. The result can be helpful to the standard of design of PC probe for eddy current testing.

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Ternary Distributive Structures and Quandles

  • Elhamdadi, Mohamed;Green, Matthew;Makhlouf, Abdenacer
    • Kyungpook Mathematical Journal
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    • v.56 no.1
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    • pp.1-27
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    • 2016
  • We introduce a notion of ternary distributive algebraic structure, give examples, and relate it to the notion of a quandle. Classification is given for low order structures of this type. Constructions of such structures from 3-Lie algebras are provided. We also describe ternary distributive algebraic structures coming from groups and give examples from vector spaces whose bases are elements of a finite ternary distributive set. We introduce a cohomology theory that is analogous to Hochschild cohomology and relate it to a formal deformation theory of these structures.

RICCI CURVATURE, CIRCULANTS, AND EXTENDED MATCHING CONDITIONS

  • Dagli, Mehmet;Olmez, Oktay;Smith, Jonathan D.H.
    • Bulletin of the Korean Mathematical Society
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    • v.56 no.1
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    • pp.201-217
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    • 2019
  • Ricci curvature for locally finite graphs, as proposed by Lin, Lu and Yau, provides a useful isomorphism invariant. A Matching Condition was introduced as a key tool for computation of this Ricci curvature. The scope of the Matching Condition is quite broad, but it does not cover all cases. Thus the current paper introduces extended versions of the Matching Condition, and applies them to the computation of the Ricci curvature of a class of circulants determined by certain number-theoretic data. The classical Matching Condition is also applied to determine the Ricci curvature for other families of circulants, along with Cayley graphs of abelian groups that are generated by the complements of (unions of) subgroups.

p-Version Finite Element Model of Cracked Plates Including Shear Deformation under Flexural Behavior (휨거동을 받는 균열판의 전단변형을 고려한 p-Version 유한요소모델)

  • Lee, C.G.;K.S.Woo;Shin, Y.S.
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1993.10a
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    • pp.16-23
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    • 1993
  • The new p-version crack model is proposed to estimate the bending stress intensity factors of the thick cracked plate under flexure. The proposed model is based on high order theory and $C^{\circ}$-plate element including shear deformation. The displacements fields are defined by integrals of Legerdre polynomials which can be classified into three groups such as basic mode, side mode and internal mode. The computer implementation allows arbitrary variations of p-level up to a maximum value of 10. The bending stress intensity factors are computed by virtual crack extention approach. The effects of ratios of thickness to crack length(h/a), crack length to width(a/W) and boundary conditions are investigated. Very good agreement with the existing solution in the literature are shown for the uncracked plate as well as the cracked plate.

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