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RISS 인기검색어
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- 저자 : Malakooti , Reihaneh (검색결과 5 건)
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THE CONNECTED SUBGRAPH OF THE TORSION GRAPH OF A MODULE
Ghalandarzadeh, Shaban,Rad, Parastoo Malakooti,Shirinkam, Sara Korean Mathematical Society 2012 대한수학회지 Vol.49 No.5
In this paper, we will investigate the concept of the torsion-graph of an R-module M, in which the set $T(M)^*$ makes up the vertices of the corresponding torsion graph, ${\Gamma}(M)$, with any two distinct vertices forming an edge if $[x:M][y:M]M=0$. We prove that, if ${\Gamma}(M)$ contains a cycle, then $gr({\Gamma}(M)){\leq}4$ and ${\Gamma}(M)$ has a connected induced subgraph ${\overline{\Gamma}}(M)$ with vertex set $\{m{\in}T(M)^*{\mid}Ann(m)M{\neq}0\}$ and diam$({\overline{\Gamma}}(M)){\leq}3$. Moreover, if M is a multiplication R-module, then ${\overline{\Gamma}}(M)$ is a maximal connected subgraph of ${\Gamma}(M)$. Also ${\overline{\Gamma}}(M)$ and ${\overline{\Gamma}}(S^{-1}M)$ are isomorphic graphs, where $S=R{\backslash}Z(M)$. Furthermore, we show that, if ${\overline{\Gamma}}(M)$ is uniquely complemented, then $S^{-1}M$ is a von Neumann regular module or ${\overline{\Gamma}}(M)$ is a star graph.
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The connected subgraph of the torsion graph of a module
Shaban Ghalandarzadeh,Parastoo Malakooti Rad,Sara Shirinkam 대한수학회 2012 대한수학회지 Vol.49 No.5
In this paper, we will investigate the concept of the torsion-graph of an R-module M, in which the set T(M)*makes up the vertices of the corresponding torsion graph, Γ(M), with any two distinct vertices forming an edge if [x : M][y : M]M = 0. We prove that, if Γ(M) contains a cycle, then gr(Γ(M)) 4 and Γ(M) has a connected induced subgraph Γ(M) with vertex set fm 2 T(M) j Ann(m)M ̸= 0g and diam(Γ(M)) ≤3. Moreover, if M is a multiplication R-module, then Γ(M) is a maximal connected subgraph of Γ(M). Also Γ(M) and Γ(S-1M) are isomorphic graphs, where S = R n Z(M). Furthermore, we show that, if Γ(M) is uniquely complemented, then S-1M is a von Neumann regular module or Γ(M) is a star graph.
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Hashemi, Seyed Shaker,Sadeghi, Kabir,Javidi, Saeid,Malakooti, Mahmoud Techno-Press 2019 Advances in concrete construction Vol.8 No.4
In the present paper, the fiber theory has been employed to model the reinforced concrete (RC) deep beams (DBs) considering the reinforcing steel bar-concrete interaction. To simulate numerically the behavior of materials, the uniaxial materials' constitutive laws have been employed for reinforcements and concrete and the bond stress-slip between the reinforcing steel bars and surrounding concrete are taken into account. Because of the high sensitivity of DBs to shear deformations, the Timoshenko beam theory has been applied. The shear stress-strain (S-SS) relationship has been defined by the modified compression field theory (MCFT) model. By modeling about 300 RC panels and employing a produced numerical database, a study has been carried out to show the sensitivity of the MCFT model. This is performed based on the multiple linear regression (MLR) models. The results of this research also illustrate how different parameters such as characteristic compressive strength of concrete, yield strength of reinforcements and the percentages of reinforcements in different directions get involved in the shear behavior of RC panels without applying complex theories. Based on the results obtained from the analysis of the MCFT S-SS model, a relatively simplified numerical S-SS model has been proposed. Application of the proposed S-SS model in modeling and analyzing the considered samples indicates that there is a good agreement between the simulated and the experimental test results. The comparison between the proposed S-SS model and the MCFT model indicates that in addition to the advantage of better accuracy, the main advantage of the proposed method is simplicity in application.
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N. Mohammadi,M. J. Mahjoob,B. Kaffashi,S. Malakooti 대한기계학회 2010 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.24 No.9
The rheological behavior of field-dependent smart fluids in both the pre-yield and post-yield regimes is investigated. Typical viscoelastic and viscoplastic models are employed to model the fluids behavior. Viscoelastic models are used widely in the pre-yield regime. Viscoplastic models are also used extensively in both the pre-yield and post-yield regimes. Two smart fluids including a ferromagnetic nanoparticle fluid and an MR fluid are examined here. Using an MCR300 rheometer, the rheological properties of the fluids in both oscillation and rotational mode are measured. In the oscillation mode, the storage and loss moduli versus frequency are measured. In the rotational mode, shear stress, shear rate, viscosity and torque are measured. In the frequency domain, the pre-yield behavior of the ferromagnetic nano-particle fluid is modeled by Kelvin-Voigt solid model. Also, the three-parameter fluid model is used to model the pre-yield behavior of the MR fluid. Two viscoplastic models including Bingham-plastic and Herschel-Bulkley models are selected to model the rheological behavior of fluids in the time domain. Which model is more appropriate depends on the external magnetic field and the shear rate. Both models are used here to model the fluids’ behavior. The models properly predict the results observed in the experiments.
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