Stochastic Homogenization Analysis of a Particle Reinforced Composite Material using an Approximate Monte-Carlo Simulation with the Weighted Least Square Method
This paper describes a stochastic homogenization analysis of a particle reinforced composite material using an approximation technique. In order to analyze the influence of a microscopic random variation of an elastic property of a component material on the homogenized elastic property of a particle...
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| Veröffentlicht in: | Journal of Computational Science and Technology 2013, Vol.7(1), pp.1-11 |
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| container_title | Journal of Computational Science and Technology |
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| creator | SAKATA, Sei-ichiro ASHIDA, Fumihiro IWAHASHI, Daiki |
| description | This paper describes a stochastic homogenization analysis of a particle reinforced composite material using an approximation technique. In order to analyze the influence of a microscopic random variation of an elastic property of a component material on the homogenized elastic property of a particle reinforced composite material, the Monte-Carlo simulation is employed. Since the conventional Monte-Carlo simulation sometimes involves a higher computational cost, an approximate stochastic homogenization method using the Monte-Carlo simulation combined with a polynomial-based approximation technique is employed, and accuracy of the approximate Monte-Carlo simulation is investigated. In order to apply a lower order approximation to the approximate Monte-Carlo simulation effectively, the weighted least square method is proposed, and its effectiveness is discussed with the numerical results. |
| doi_str_mv | 10.1299/jcst.7.1 |
| format | Article |
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In order to analyze the influence of a microscopic random variation of an elastic property of a component material on the homogenized elastic property of a particle reinforced composite material, the Monte-Carlo simulation is employed. Since the conventional Monte-Carlo simulation sometimes involves a higher computational cost, an approximate stochastic homogenization method using the Monte-Carlo simulation combined with a polynomial-based approximation technique is employed, and accuracy of the approximate Monte-Carlo simulation is investigated. In order to apply a lower order approximation to the approximate Monte-Carlo simulation effectively, the weighted least square method is proposed, and its effectiveness is discussed with the numerical results.</description><identifier>ISSN: 1881-6894</identifier><identifier>EISSN: 1881-6894</identifier><identifier>DOI: 10.1299/jcst.7.1</identifier><language>eng</language><publisher>The Japan Society of Mechanical Engineers</publisher><subject>Approximate Monte-Carlo Simulation ; Approximation ; Composite materials ; Computer simulation ; Homogenization ; Homogenizing ; Mathematical analysis ; Monte Carlo methods ; Particle Reinforced Composite Material ; Particulate composites ; Stochastic Homogenization Analysis ; Stochasticity ; Weighted Least Square Method</subject><ispartof>Journal of Computational Science and Technology, 2013, Vol.7(1), pp.1-11</ispartof><rights>2013 by The Japan Society of Mechanical Engineers</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c2891-9d3a1baa0793d9a41f287faa7d2653ebef690b07090981ff780ae2a87783a1e13</citedby><cites>FETCH-LOGICAL-c2891-9d3a1baa0793d9a41f287faa7d2653ebef690b07090981ff780ae2a87783a1e13</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,777,781,1877,4010,27904,27905,27906</link.rule.ids></links><search><creatorcontrib>SAKATA, Sei-ichiro</creatorcontrib><creatorcontrib>ASHIDA, Fumihiro</creatorcontrib><creatorcontrib>IWAHASHI, Daiki</creatorcontrib><title>Stochastic Homogenization Analysis of a Particle Reinforced Composite Material using an Approximate Monte-Carlo Simulation with the Weighted Least Square Method</title><title>Journal of Computational Science and Technology</title><addtitle>JCST</addtitle><description>This paper describes a stochastic homogenization analysis of a particle reinforced composite material using an approximation technique. In order to analyze the influence of a microscopic random variation of an elastic property of a component material on the homogenized elastic property of a particle reinforced composite material, the Monte-Carlo simulation is employed. Since the conventional Monte-Carlo simulation sometimes involves a higher computational cost, an approximate stochastic homogenization method using the Monte-Carlo simulation combined with a polynomial-based approximation technique is employed, and accuracy of the approximate Monte-Carlo simulation is investigated. In order to apply a lower order approximation to the approximate Monte-Carlo simulation effectively, the weighted least square method is proposed, and its effectiveness is discussed with the numerical results.</description><subject>Approximate Monte-Carlo Simulation</subject><subject>Approximation</subject><subject>Composite materials</subject><subject>Computer simulation</subject><subject>Homogenization</subject><subject>Homogenizing</subject><subject>Mathematical analysis</subject><subject>Monte Carlo methods</subject><subject>Particle Reinforced Composite Material</subject><subject>Particulate composites</subject><subject>Stochastic Homogenization Analysis</subject><subject>Stochasticity</subject><subject>Weighted Least Square Method</subject><issn>1881-6894</issn><issn>1881-6894</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><recordid>eNqFkc9O4zAQxiPESvxZJB7BRy7p2k4b29xQBRSpCLTdFUdrmowbV0lcbEcsPA2PirsFxI2DNZbn940_zZdlp4yOGFfq17oKcSRGbC87ZFKyvJRqvP_lfpAdhbCmtCwF54fZ6yK6qoEQbUVmrnMr7O0LROt6ctFD-xxsIM4QIPfgE9Mi-Y22N85XWJOp6zYu2IjkFiJ6Cy0Zgu1XBJJ6s_Hun-1g23V9xHwKvnVkYbuh3X3wZGNDYoPkAe2qiWngHJMTsngcwCcVxsbVP7MfBtqAJ-_1OPt7dflnOsvnd9c304t5XnGpWK7qAtgSgApV1ArGzHApDICoeTkpcImmVHRJBVVUSWaMkBSQgxRCJiGy4jg7281Nth8HDFF3NlTYttCjG4JmpeKF4iWn36OTMRvTYqK-oJV3IXg0euPTTvyzZlRv89LbvLTQWwPnO3QdIqzwE3zf-yf4_3w8pui8xr54A4b2ocQ</recordid><startdate>2013</startdate><enddate>2013</enddate><creator>SAKATA, Sei-ichiro</creator><creator>ASHIDA, Fumihiro</creator><creator>IWAHASHI, Daiki</creator><general>The Japan Society of Mechanical Engineers</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SR</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JG9</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>2013</creationdate><title>Stochastic Homogenization Analysis of a Particle Reinforced Composite Material using an Approximate Monte-Carlo Simulation with the Weighted Least Square Method</title><author>SAKATA, Sei-ichiro ; ASHIDA, Fumihiro ; IWAHASHI, Daiki</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c2891-9d3a1baa0793d9a41f287faa7d2653ebef690b07090981ff780ae2a87783a1e13</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Approximate Monte-Carlo Simulation</topic><topic>Approximation</topic><topic>Composite materials</topic><topic>Computer simulation</topic><topic>Homogenization</topic><topic>Homogenizing</topic><topic>Mathematical analysis</topic><topic>Monte Carlo methods</topic><topic>Particle Reinforced Composite Material</topic><topic>Particulate composites</topic><topic>Stochastic Homogenization Analysis</topic><topic>Stochasticity</topic><topic>Weighted Least Square Method</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>SAKATA, Sei-ichiro</creatorcontrib><creatorcontrib>ASHIDA, Fumihiro</creatorcontrib><creatorcontrib>IWAHASHI, Daiki</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Engineered Materials Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Materials Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Journal of Computational Science and Technology</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>SAKATA, Sei-ichiro</au><au>ASHIDA, Fumihiro</au><au>IWAHASHI, Daiki</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Stochastic Homogenization Analysis of a Particle Reinforced Composite Material using an Approximate Monte-Carlo Simulation with the Weighted Least Square Method</atitle><jtitle>Journal of Computational Science and Technology</jtitle><addtitle>JCST</addtitle><date>2013</date><risdate>2013</risdate><volume>7</volume><issue>1</issue><spage>1</spage><epage>11</epage><pages>1-11</pages><issn>1881-6894</issn><eissn>1881-6894</eissn><abstract>This paper describes a stochastic homogenization analysis of a particle reinforced composite material using an approximation technique. In order to analyze the influence of a microscopic random variation of an elastic property of a component material on the homogenized elastic property of a particle reinforced composite material, the Monte-Carlo simulation is employed. Since the conventional Monte-Carlo simulation sometimes involves a higher computational cost, an approximate stochastic homogenization method using the Monte-Carlo simulation combined with a polynomial-based approximation technique is employed, and accuracy of the approximate Monte-Carlo simulation is investigated. In order to apply a lower order approximation to the approximate Monte-Carlo simulation effectively, the weighted least square method is proposed, and its effectiveness is discussed with the numerical results.</abstract><pub>The Japan Society of Mechanical Engineers</pub><doi>10.1299/jcst.7.1</doi><tpages>11</tpages><oa>free_for_read</oa></addata></record> |
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| identifier | ISSN: 1881-6894 |
| ispartof | Journal of Computational Science and Technology, 2013, Vol.7(1), pp.1-11 |
| issn | 1881-6894 1881-6894 |
| language | eng |
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| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; J-STAGE (Japan Science & Technology Information Aggregator, Electronic) Freely Available Titles - Japanese |
| subjects | Approximate Monte-Carlo Simulation Approximation Composite materials Computer simulation Homogenization Homogenizing Mathematical analysis Monte Carlo methods Particle Reinforced Composite Material Particulate composites Stochastic Homogenization Analysis Stochasticity Weighted Least Square Method |
| title | Stochastic Homogenization Analysis of a Particle Reinforced Composite Material using an Approximate Monte-Carlo Simulation with the Weighted Least Square Method |
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