• Title/Summary/Keyword: multiplicity, uniqueness

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Finite Element Analysis for Rate-Independent Crystal Plasticity Model (속도 독립성 결정소성모델의 유한요소해석)

  • Ha, Sang-Yul;Kim, Ki-Tae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.5
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    • pp.447-454
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    • 2009
  • Rate-independent crystal plasticity model suffers from the non-uniqueness of activated slip systems and the determination of the shear slip rates on the active slip systems. In this paper, a time-integration algorithm which circumvents the problem of the multiplicity of the slip systems was developed and implemented into the user subroutine VUMAT of a commercial finite element program ABAQUS. The magnitude of the slip shears on the active slip systems in f.c.c Cu single crystal aligned with the specific crystallographic orientation was investigated to validate our solution procedure. Also, texture developments under various deformation modes such as simple compression, simple tension and plane strain compression were compared with the results of the rate-dependent model by using the rate-independent crystal plasticity model. The computation time employing the rate-independent model is much more reduced than the those of the rate-dependent model.

QUADRATURE METHOD FOR EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS ARISING IN A THERMAL EXPLOSION THEORY

  • Eunkyung Ko
    • East Asian mathematical journal
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    • v.39 no.3
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    • pp.271-278
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    • 2023
  • We consider a 1-dimensional reaction diffusion equation with the following boundary conditions arising in a theory of the thermal explosion {-u"(t) = λf(u(t)), t ∈ (0, l), -u'(0) + C(0)u(0) = 0, u'(l) + C(l)u(l) = 0, where C : [0, ∞) → (0, ∞) is a continuous and nondecreasing function, λ > 0 is a parameter and f : [0, ∞) → (0, ∞) is a continuous function. We establish the extension of Quadrature method introduced in [8]. Using this extension, we provide numerical results for models with a typical function of f and C in a thermal explosion theory, which verify the existence, uniqueness and multiplicity results proved in [6].

The Education of Henry Adams: The Theme of Aura and Tradition in the Context of Modernity

  • Kim, Hongki
    • Journal of English Language & Literature
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    • v.55 no.6
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    • pp.961-973
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    • 2009
  • Walter Benjamin expresses his concern that the new technologies of mechanical reproduction robs the artwork of its own uniqueness, its "aura." Benjamin uses the word "aura" to refer to the sense of awe or reverence one presumably experiences in the presence of works of art. This aura does not merely inhere in the works of art themselves, because Benjamin extends his notion of aura to the level of how he both understands and positions the modern subject in the world of uncertainty and transitoriness. The theoretical framework of Benjaminian aura becomes a crucial and efficient strategic apparatus to read The Education of Henry Adams. As for Benjamin the modern implies a sense of alienation, a historical discontinuity, and a decisive break with tradition, Adams observes that modern civilization has wiped out "tradition," a mythic home in which man can experience order and unity. Adams claims that the growth of science, reason, and multiplicity at the expense of religion, feeling, and unity has been accompanied by a parallel growth in individualism at the expense of community and tradition. To Adams the collapse of traditional values such as maternity, fecundity, and security in America is a waking nightmare of the moral dilemmas of a capitalist society, in which the cruel force of the modern Dynamo is becoming a prime governing principle.

A Study on Application Methods of Knit Design for Manufacturers using CAD System (캐드를 이용한 니트디자인의 생산업체 활용 방안)

  • Yang, Kyung-Ae
    • Korean Journal of Human Ecology
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    • v.8 no.1
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    • pp.165-178
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    • 1999
  • Knitwears it was only for the innerwear, but which has become more available for sportswear and highly valuable formal-dresses for women's apparel and is set a trend toward high value-added products worldwide. Also the industry connected knitwears is more widely applicative than woven industry and is running on the well founded basement for the small enterprises. This study notes that what problems are caused and which utilities can be expected when we design knitwears by Primavision and Texpia CAD system considered the programs for development of domestic knitwears industry. There are much various benefits for designing knitwears from CAD system as shortening working hours, convenience, accuracy, quality control and productivity. It doesn't depend on designer's technique, sense and experiences, but provides, through building the design accuracy, chance to have a precise communication with buyers to be satisfied with the multiplicity, uniqueness and high-quality resulting from reducing the mistake on the operation. But there are some problems for using CAD design system those are no selections for the form, type and thickness of the yarn. Even though it is knitted by the same gauge, the texture conditions show complete difference if the form and thickness is different with. The gauge control without regarding those ought to be improved and the yarn designing function should be appended like in a tektite design. And the CAD design system can not reflect the variables of operating knitting machine and needle. The CAD design system provides the manufacturers with merits those they can change the colors easily to select which one appeals to the customer and check the effects of producing and modeling on monitor. But, in the each producing progress, there are still problems to reduce the practical steps, so intensive care is required of each part.

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