• Title/Summary/Keyword: R. C. element

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Nonlinear dynamic response and its control of rubber components with piezoelectric patches/layers using finite element method

  • Manna, M.C.;Bhattacharyya, R.;Sheikh, A.H.
    • Smart Structures and Systems
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    • v.6 no.8
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    • pp.889-903
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    • 2010
  • Idea of using piezoelectric materials with flexible structures made of rubber-like materials is quite novel. In this study a non-linear finite element model based on updated Lagrangian (UL) approach has been developed for dynamic response and its control of rubber-elastic material with surface-bonded PVDF patches/layers. A compressible stain energy density function has been used for the modeling of the rubber component. The results obtained are compared with available analytical solutions and other published results in some cases. Some results are reported as new results which will be useful for future references since the number of published results is not sufficient.

Time-dependent analysis of reinforced concrete structures using the layered finite element method

  • Bradford, M.A.;Gilbert, R.I.;Sun, S.C.H.
    • Structural Engineering and Mechanics
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    • v.8 no.6
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    • pp.561-578
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    • 1999
  • The response of a reinforced concrete structure to loading is both immediate and time-dependent. Under a sustained load, the deflections caused by creep and shrinkage may be several times their instantaneous values. The paper describes a general finite element procedure, based on the so-called layered model, to analyse reinforced concrete members, and shows in particular how the simple Step by Step Method may be incorporated into this procedure. By invoking the Modified Newton Raphson Method as a solution procedure, the accuracy of the finite element method is verified against independent test results, and then applied to a variety of problems in order to demonstrate its efficacy. The method forms a general method for analysing highly indeterminate concrete structures in the time domain.

Magnetoresistive Effect in Ferromagnetic Thin Films( I ) (강자성체 박막(Fe-Ni, Co-Ni)의 자기-저항 효과에 관한 연구( I ))

  • Chang, C.G.;Yoo, J.Y.;Song, J.Y.;Yun, M.Y.;Park, J.H.;Son, D.R.
    • Journal of Sensor Science and Technology
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    • v.1 no.1
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    • pp.23-34
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    • 1992
  • In order to fabricate magnetoresistive sensor, Fe-Ni and Co-Ni alleys were evaporated on the slide glass and the silicon wafers. Saturation magnetic induction($B_{s}$), coercive field strength($H_{c}$) and magnetoresistance were measured for fabricated samples. The evaporated Fe-Ni thin films show that the saturation magnetic induction was 0.65 T, and coercive field strength was 0.379 A/cm, and this value was changed to 0.370 A/cm(//), 0.390 A/cm(${\bot}$), respectively after magnetic annealing. For the measurement of coercive field strength, magnetizing frequency of 1 kHz was used. For the fabricated sensor element, the change of magnetoresistance (${\Delta}R/R$) was excessively unstable due to oxidation in the process of fabrication. The evaporated Co-Ni alloy thin films show that saturation magnetic induction was 0.66 T, and coercive field strengthes were 5.895 A/cm(//), 5.898 A/cm(${\bot}$), respectively, after magnetic annelaing. The change of magnetoresistance(${\Delta}R/R$) was $3.6{\sim}3.7%$ of which value was excessively stable to room temperature. Fe-Ni thin film could have many problems due to large affinity in the process of fabrication of magnetoresistance sensor, but Co-Ni thin film could be a suitable material for fabrication of magnetoresistance sensor, because of its small affinity and definite magnetoresistance effects.

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Modeling refractory concrete lining of fluid catalytic cracking units of oil refineries

  • Silva, Ana B.C.G.;Andrade, Henrique C.C.;Fairbairn, Eduardo M.R.;Telles, Jose C.F.;Ribeiro, Fernando L.B.;Toledo-Filho, Romildo D.;Medeiros, Jorivaldo
    • Computers and Concrete
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    • v.25 no.1
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    • pp.29-36
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    • 2020
  • This work presents a numerical modeling procedure to simulate the refractory concrete lining in fluid catalytic cracking units of oil refineries. The model includes the simulation of the anchors that reinforce the contact between the refractory concrete and the steel casing. For this purpose, the constitutive relations of an interface finite element are set to values that represent the homogenized behavior of the anchored interface. The parameters of this constitutive relation can be obtained by experimental tests. The model includes also multi-surface plasticity, in order to represent the behavior of the refractory concrete lining. Since the complexity of real case applications leads to high computational costs, the models presented here were implemented in a high-performance parallelized finite element platform. A case study representing a riser similar to the ones used by the refinery industry demonstrates the potential of the model.

The Effect of Sb Addition on the High Temperature Oxidation in the Steels (강중 Sb 첨가가 고온산화에 미치는 영향)

  • Oh, I.S.;Cho, K.C.;Kim, D.H.;Kim, G.M.;Sohn, I.R.
    • Korean Journal of Metals and Materials
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    • v.47 no.4
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    • pp.228-234
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    • 2009
  • It is well known that the formation of $SiO_2$, $Al_2O_3$ and/or other oxides at the steel surface during the annealing process deteriorates the surface quality of galvanized steels. It is important to minimize oxide formation during the annealing process for the superior surface quality of galvanized steels. In order to minimize the oxide formation on the steel surface, antimony was chosen as an alloying element to the commercial steels. Then, the effect of alloying element on the oxidation behavior was investigated. A small amount of antimony was added to two types of steels, one with 0.1% C, 1.0% Si, 1.5% Mn, 0.08% P, and the other with 0.002% C, 0.001% Si, 0.104% Mn, 0.01% P. Then, the oxidation behavior was investigated from $650{\sim}900^{\circ}C$ in the air. The addition of antimony to the steels retarded the outward diffusion of elements during the oxidation, resulting in reduction of the oxidation rate.

Stress Analysis of Arctic Thaw Settlement with Gas Pipeline using Finite Element Method (유한요소해석을 활용한 극한지 융해침하에 따른 천연가스배관의 응력해석)

  • Kim, Kyung Il;Yeom, Kyu Jung;Kim, Young-Pyo;Kim, Woo Sik;Oh, Kyu Hwan
    • Journal of the Korean Institute of Gas
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    • v.18 no.5
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    • pp.78-84
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    • 2014
  • It is important to secure the supply of gas in arctic region which is not developed recently due to depleting of fossil fuel. It is competing in order to secure the arctic region. The need for the occurring the pipeline design in arctic region is essential for development. In this study, we develop the model of thaw settlements for analysis the stress and displacement which applied with pipe in arctic region between $-40^{\circ}C$ to $20^{\circ}C$. The soil was applied with Mohr-coulomb theory and pipe was elasto-plastic method.

ANNIHILATING PROPERTY OF ZERO-DIVISORS

  • Jung, Da Woon;Lee, Chang Ik;Lee, Yang;Nam, Sang Bok;Ryu, Sung Ju;Sung, Hyo Jin;Yun, Sang Jo
    • Communications of the Korean Mathematical Society
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    • v.36 no.1
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    • pp.27-39
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    • 2021
  • We discuss the condition that every nonzero right annihilator of an element contains a nonzero ideal, as a generalization of the insertion-of-factors-property. A ring with such condition is called right AP. We prove that a ring R is right AP if and only if Dn(R) is right AP for every n ≥ 2, where Dn(R) is the ring of n by n upper triangular matrices over R whose diagonals are equal. Properties of right AP rings are investigated in relation to nilradicals, prime factor rings and minimal order.

A VARIANT OF D'ALEMBERT'S AND WILSON'S FUNCTIONAL EQUATIONS FOR MATRIX VALUED FUNCTIONS

  • Abdellatif Chahbi;Mohamed Chakiri;Elhoucien Elqorachi
    • Communications of the Korean Mathematical Society
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    • v.39 no.3
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    • pp.785-802
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    • 2024
  • Given M a monoid with a neutral element e. We show that the solutions of d'Alembert's functional equation for n × n matrices Φ(pr, qs) + Φ(sp, rq) = 2Φ(r, s)Φ(p, q), p, q, r, s ∈ M are abelian. Furthermore, we prove under additional assumption that the solutions of the n-dimensional mixed vector-matrix Wilson's functional equation $$\begin{cases}f(pr, qs) + f(sp, rq) = 2\phi(r, s)f(p, q),\\Φ(p, q) = \phi(q, p),{\quad}p, q, r, s {\in} M\end{cases}$$ are abelian. As an application we solve the first functional equation on groups for the particular case of n = 3.

New twelve node serendipity quadrilateral plate bending element based on Mindlin-Reissner theory using Integrated Force Method

  • Dhananjaya, H.R.;Nagabhushanam, J.;Pandey, P.C.;Jumaat, Mohd. Zamin
    • Structural Engineering and Mechanics
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    • v.36 no.5
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    • pp.625-642
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    • 2010
  • The Integrated Force Method (IFM) is a novel matrix formulation developed for analyzing the civil, mechanical and aerospace engineering structures. In this method all independent/internal forces are treated as unknown variables which are calculated by simultaneously imposing equations of equilibrium and compatibility conditions. This paper presents a new 12-node serendipity quadrilateral plate bending element MQP12 for the analysis of thin and thick plate problems using IFM. The Mindlin-Reissner plate theory has been employed in the formulation which accounts the effect of shear deformation. The performance of this new element with respect to accuracy and convergence is studied by analyzing many standard benchmark plate bending problems. The results of the new element MQP12 are compared with those of displacement-based 12-node plate bending elements available in the literature. The results are also compared with exact solutions. The new element MQP12 is free from shear locking and performs excellent for both thin and moderately thick plate bending situations.

Static analysis of rubber components with piezoelectric patches using nonlinear finite element

  • Manna, M.C.;Sheikh, A.H.;Bhattacharyya, R.
    • Smart Structures and Systems
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    • v.5 no.1
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    • pp.23-42
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    • 2009
  • In order to reduce vibration or to control shape of structures made of metal or composites, piezoelectric materials have been extensively used since their discovery in 1880's. A recent trend is also seen to apply piezoelectric materials to flexible structures made of rubber-like materials. In this paper a non-linear finite element model using updated Lagrangian (UL) approach has been developed for static analysis of rubber-elastic material with surface-bonded piezoelectric patches. A compressible stain energy function has been used for modeling the rubber as hyperelastic material. For formulation of the nonlinear finite element model a twenty-node brick element is used. Four degrees of freedom u, v and w and electrical potential ${\varphi}$ per node are considered as the field variables. PVDF (polyvinylidene fluoride) patches are applied as sensors/actuators or sensors and actuators. The present model has been applied to bimorph PVDF cantilever beam to validate the formulation. It is then applied to study the smart rubber components under different boundary and loading conditions. The results predicted by the present formulation are compared with the analytical solutions as well as the available published results. Some results are given as new ones as no published solutions available in the literatures to the best of the authors' knowledge.