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SOME ASPECTS OF FEASIBILITY AND SOLVABILITY FOR CONE LINEAR COMPLEMENTARITY PROBLEMS
Khadije Bypour,Mehdi Roohi 경남대학교 기초과학연구소 2020 Nonlinear Functional Analysis and Applications Vol.25 No.3
In this paper, we introduce a new class of linear operators for which cone linear complementarity problem (LCP) is feasible. For feasible LCP, it is important to know, when it is solvable. We give a result which feasibility implies solvability. We describe structure of the solution set of the LCP with positive operator. Moreover, the class of linear operators which are constant on the solution set of LCP is characterized.
VARIATIONAL-LIKE INCLUSION SYSTEMS VIA GENERAL MONOTONE OPERATORS WITH CONVERGENCE ANALYSIS
Vahid Dadashi,Mehdi Roohi 영남수학회 2010 East Asian mathematical journal Vol.26 No.1
In this paper using Lipschitz continuity of the resolvent operator associated with general H-maximal m-relaxed η-monotone operators, existence and uniqueness of the solution of a variational inclusion system is proved. Also, an iterative algorithm and its convergence analysis is given.
VARIATIONAL-LIKE INCLUSION SYSTEMS VIA GENERAL MONOTONE OPERATORS WITH CONVERGENCE ANALYSIS
Dadashi, Vahid,Roohi, Mehdi The Youngnam Mathematical Society 2010 East Asian mathematical journal Vol.26 No.1
In this paper using Lipschitz continuity of the resolvent operator associated with general H-maximal m-relaxed $\eta$-monotone operators, existence and uniqueness of the solution of a variational inclusion system is proved. Also, an iterative algorithm and its convergence analysis is given.
Ali Sadooghi,Gholamhassan Payganeh,Mehdi Tajdari,Amir H. Roohi 대한금속·재료학회 2021 METALS AND MATERIALS International Vol.27 No.5
The majority of the product failure in industries is due to fatigue loadings. On the other hand, Nanocomposite materials area new group of materials, which are developed because of their enhanced mechanical properties. In this manuscript, metalmatrix nanocomposite samples (i.e. steel alloy 316L is considered as the matrix together with TiC and hBN nanoparticlesas the reinforcing particles) are produced using the powder metallurgy process. The reinforcing nanoparticles in 3.5 wt% foreach one are added to the matrix material. The samples are compacted in the pressure of 410 MPa and sintered in temperatureof 1375 °C for 3.5 h. Tensile testing is carried out on the samples to find the mechanical properties of the material andto compare with the corresponding properties of the pure steel. High-cycle fatigue tests are performed to derive the Stress-Cycle curve of the nanocomposite material. Subsequently, estimation of the fatigue life of nanocomposite gear is done, usingfinite element numerical simulations, and then the results are compared with the AGMA standard results. Experimental andnumerical results show improved mechanical properties of nanocomposite samples, compared to steel, as a result of theexistence of reinforcement nanoparticles.