Alireza Sadeghirad, Iradj Mahmoudzadeh Kani, Mohammad Rahimian, and Ali Vaziri Astaneh October 2008 The Arabian Journal for Science and Engineering, Volume 33, Number 2B 411 MESHFREE LOCAL INTEGRATION ON LINE METHOD (MLILM) FOR LINEAR ELASTICITY Alireza Sadeghirad * , Iradj Mahmoudzadeh Kani, Mohammad Rahimian, and Ali Vaziri Astaneh School of Civil Engineering, University of Tehran, P.O.Box 11365-4563, Tehran, Iran اﻟﺨﻼﺻـﺔ: ﻮفѧγ ﺮضѧόϧ - ΚѧΤΒϟ اﺬاѧ هϲѧϓ - ѧϘϳσ (MLILM) ﺎدѧόΑ اﻷѧϴﺎﺋϨΛ ѧϧϴϠϟ اϞﺎﺋδѧϣ ϞѧΤϟ . ѧϗ وﺬاѧϟ ѧϧﻮرσ ϲϧﻮزѧϟ اϲόѧﻮﺿϤϟ اϲѧϘΒΘϤϟ اѧϘϳσ ﺪامΨΘѧγΑ ϲόѧﻮﺿϤϟ اϞΛϤΘϟ اﺪمϋ ﻜﺮةϓ ﻐﺮضϟ ا(LUWF) ѧϟﺎدόϣ لϼѧΧ Ϧѧϣ ﺰانΗϻ ا. تϻѧΠϤϟ اﻜﻮنΗ ) ϖσѧϨϤϟ ا( ϴόѧﻮﺿϤϟ ا- ѧϘϳτϟ اϩѧ هϲѧϓ - ѧϴϋΑ رѧϴϣ هﺮﺎرѧΒΘΧϻ اﺎتѧϧﺮاΘϗ واѧϳﺰواϟ ا ﺎلΠϤϟ اϘ ـϋ Ϡϋ ﺮآﺰϤΘΗ . ϖϴΒτΗ Ϩϋ و(LUWF) ϋϤΠϣ Ϡϋ ﺎرѧΒΘΧϻ اﺎتѧϧﺮاΘϗ اϦѧϣ ﺎةѧϘΘϨϣ ѧ ϨϤΗ ﺬفѧΣ Ϧѧϣ ﻈﺎمϨϟ اﺎوةδϗ ϓϔϣ ﺎبδΣ Ϩϋ تϻΠϤϟ اتϼϣﻜﺎΗ . ѧϨΣΘϗ اѧϗ وѧϘϳσ (LWLS) ﺎتѧϧﺮاΘϗ اﺎءθѧϧϹ ѧϳﺎرΒΘΧ ا ﻬﺎΘϗ ودﻬﺎΘϴϟόϓ ϨΤ وأوﺿ. ϤΑ وﻮبϠγ أ أن(MLILM) ѧϟ ذﺈنѧϓ ϳﺎرΒΘΧϻ اﺎتϧﺮاΘϗϻ اﺎتϘΘθϣ ﺎبδΣ ΐϠτΘϳ ϻ ΐϳϘΗ ﺎقϘΘη اϟ إΟΤϟ اﺪمϋ ϟ إ أدى(LWLS) ΣزاϺϟ . ϗ و أنﺎتΑδѧΤϟ اΖϧΑ أ(MLILM) ﺆديѧΗ وѧϟόϓ Ϙϴϗ دΞﺎﺋΘϧ ϟ إ. * To whom correspondence should be addressed E-mail: ar_srad@yahoo.com & arsadegh@ut.ac.ir Paper Received 26 February 2007; Revised 13 June 2007; Accepted 28 November 2007