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Design and fluid-structure interaction analysis for a microfluidic T-junction with chemo-responsive hydrogel valves

Applied Mathematics and Mechanics(English Edition) 2020年第6期41卷 939-952页

作者： E.KHANJANI a.hajarian A.KARGAR-ESTAHBANATY N.ARBABI A.TAHERI M.BAGHANI School of Mechanical Engineering College of EngineeringUniversity of TehranTehran ***Iran Bourns College of Engineering University of CaliforniaRiversideCalifornia 92521U.S.A. Department of Mechanical Engineering University of British ColumbiaOntario V6T 1Z2Canada Department of Mechanical Engineering University of LarestanLar ***Iran

Due to the deformation ability even under small loads, hydrogels have been widely used as a type of soft materials in various applications such as actuating and sensing, and have attracted many researchers to study their behaviors. In this paper, the behavior of hydrogel micro-valves with reverse sensitivity to the p H inside a T-junction flow sorter is investigated. With the fluid-structure interaction(FSI) approach, the effects of various parameters such as the inlet pressure and the p H value on the stress and deformation of the micro-valves are examined, and the results with and without FSI,including the flow rate and the closure p H, are compared. In order to reduce the response time of hydrogels, the effects of three different patterns on the performance of the microvalves are explored. Eventually, it is concluded that FSI is a key influential factor in designing and analyzing the behaviors of hydrogels.

关键词： hydrogel pH-sensitive T-junction flow sorter fluid-structure interaction(FSI) micro-valve

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Two-Step Two-Sweep Modulus-Based Matrix Splitting Iteration Method for Linear Complementarity Problems

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Numerical Mathematics(Theory,Methods and Applications) 2022年第3期15卷 592-619页

作者： Maryam Bashirizadeh Masoud hajarian Department Applied Mathematics Faculty of Mathematical SciencesShahid Beheshti UniversityTehranIran

Linear complementarity problems have drawn considerable attention in recent years due to their wide *** this article,we introduce the two-step two-sweep modulus-based matrix splitting(TSTM)iteration method and two-sweep modulus-based matrix splitting type II(TM II)iteration method which are a combination of the two-step modulus-based method and the two-sweep modulus-based method,as two more effective ways to solve the linear complementarity *** convergence behavior of these methods is discussed when the system matrix is either a positive-definite or an H+-***,numerical experiments are given to show the efficiency of our proposed methods.

关键词： Linear complementarity problem modulus-based method two-step two sweep H+-matrix convergence

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The Relation Between a Tensor and Its Associated Semi-Symmetric Form

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Numerical Mathematics(Theory,Methods and Applications) 2022年第2期15卷 530-564页

作者： Hassan Bozorgmanesh Masoud hajarian Anthony Theodore Chronopoulos Department of Applied Mathematics Faculty of Mathematical SciencesShahid Beheshti UniversityTehranIran Department of Computer Science University of TexasSan AntonioTexas 78249USA (Visiting Faculty)Department of Computer Engineering&Informatics University of PatrasRio 26500Greece

It is known that every tensor has an associated semi-symmetric *** purpose of this paper is to investigate the shared properties of a tensor and its semi-symmetric *** particular,a corresponding semi-symmetric tensor has smaller Frobenius norm under some conditions and can be used to get smaller bounds for eigenvalues and solutions of dynamical systems and tensor complementarity *** addition,every tensor has the same eigenvalues as its corresponding semi-symmetric form,also a corresponding semi-symmetric tensor inherits properties like being circulant,Toeplitz,Z-tensor,M-tensor,H-tensor and some ***,there are a two-way connection for properties like being positive definite,P-tensor,semi-positive,primitive and several others.

关键词： Tensor eigenvalue semi-symmetric tensor eigenvalue bound logarithmic norm tensor complementarity problem

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Developing Bi-CG and Bi-CR Methods to Solve Generalized Sylvester-transpose Matrix Equations

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International Journal of Automation and computing 2014年第1期11卷 25-29页

作者： Masoud hajarian Department of Mathematics Faculty of Mathematical SciencesShahid Beheshti UniversityGeneral Campus

The bi-conjugate gradients(Bi-CG)and bi-conjugate residual(Bi-CR)methods are powerful tools for solving nonsymmetric linear systems Ax=*** using Kronecker product and vectorization operator,this paper develops the Bi-CG and Bi-CR methods for the solution of the generalized Sylvester-transpose matrix equationp i=1(Ai X Bi+Ci XTDi)=E(including Lyapunov,Sylvester and Sylvester-transpose matrix equations as special cases).Numerical results validate that the proposed algorithms are much more efcient than some existing algorithms.

关键词： Linear systems iterative method bi-conjugate gradients(Bi-CG) method bi-conjugate residual(Bi-CR) method Sylvester matrix equation

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Efcient Iterative Solutions to General Coupled Matrix Equations

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International Journal of Automation and computing 2013年第5期10卷 481-486页

作者： Masoud hajarian Department of Mathematics Faculty of Mathematical Sciences Shahid Beheshti University

Linear matrix equations are encountered in many systems and control *** this paper,we consider the general coupled matrix equations（including the generalized coupled Sylvester matrix equations as a special case）l t=1EstYtFst = Gs,s = 1,2,···,l over the generalized reflexive matrix group（Y1,Y2,···,Yl）.We derive an efcient gradient-iterative（GI） algorithm for fnding the generalized reflexive solution group of the general coupled matrix *** analysis indicates that the algorithm always converges to the generalized reflexive solution group for any initial generalized reflexive matrix group（Y1（1）,Y2（1）,···,Yl（1））.Finally,numerical results are presented to test and illustrate the performance of the algorithm in terms of convergence,accuracy as well as the efciency.

关键词： General coupled matrix equations Lyapunov matrix equation Sylvester matrix equation generalized reflexive solutiongroup iterative algorithm

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