Adhesive joints in composite laminates—A combined numerical/experimental estimate of critical energy release rates
The characterization of critical energy release rates of adhesive joints in laminated composite structures is a key issue when failure analyses have to be performed. Critical energy release rates, or fracture toughnesses, are known to be dependent on the mode mixing ratio, i.e. the portion of shear...
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Veröffentlicht in: | International journal of adhesion and adhesives 2012-01, Vol.32, p.23-38 |
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creator | Balzani, C. Wagner, W. Wilckens, D. Degenhardt, R. Büsing, S. Reimerdes, H.-G. |
description | The characterization of critical energy release rates of adhesive joints in laminated composite structures is a key issue when failure analyses have to be performed. Critical energy release rates, or fracture toughnesses, are known to be dependent on the mode mixing ratio, i.e. the portion of shear loading. It is thus useful to determine a criterion which gives the critical energy release rate as a function of the mode mixing ratio, which is the overall goal of this paper. For this purpose several experiments have been performed, for single mode I, single mode II, and mixed mode I/II loading conditions with pre-defined mode mixing ratios. Unfortunately, most of the experimental outcome cannot be used directly for least squares fitting of suitable fracture toughness criteria due to a couple of reasons, which will be discussed in detail. Hence, a numerical approach based on cohesive interface elements is employed to determine some of the critical energy release rates by fitting against experimental load–deformation curves. This combined numerical/experimental approach yields a useful database of discrete critical energy release rate values. These are utilized to fit suitable criteria which then allow the calculation of critical energy release rates for any given mode mixing ratio. The results are discussed in terms of convergence to the discrete values and physical plausibility, and a simple possibility to include mode III behavior is presented. |
doi_str_mv | 10.1016/j.ijadhadh.2011.09.002 |
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Critical energy release rates, or fracture toughnesses, are known to be dependent on the mode mixing ratio, i.e. the portion of shear loading. It is thus useful to determine a criterion which gives the critical energy release rate as a function of the mode mixing ratio, which is the overall goal of this paper. For this purpose several experiments have been performed, for single mode I, single mode II, and mixed mode I/II loading conditions with pre-defined mode mixing ratios. Unfortunately, most of the experimental outcome cannot be used directly for least squares fitting of suitable fracture toughness criteria due to a couple of reasons, which will be discussed in detail. Hence, a numerical approach based on cohesive interface elements is employed to determine some of the critical energy release rates by fitting against experimental load–deformation curves. This combined numerical/experimental approach yields a useful database of discrete critical energy release rate values. These are utilized to fit suitable criteria which then allow the calculation of critical energy release rates for any given mode mixing ratio. The results are discussed in terms of convergence to the discrete values and physical plausibility, and a simple possibility to include mode III behavior is presented.</description><identifier>ISSN: 0143-7496</identifier><identifier>EISSN: 1879-0127</identifier><identifier>DOI: 10.1016/j.ijadhadh.2011.09.002</identifier><identifier>CODEN: IJAADK</identifier><language>eng</language><publisher>Kidlington: Elsevier Ltd</publisher><subject>Adhesive joint ; Adhesive joints ; Application fields ; Applied sciences ; Cohesive interface element ; Composite laminate ; Criteria ; Critical energy release rate ; Energy release rate ; Exact sciences and technology ; Fittings ; Fracture toughness ; Material characterization ; Mathematical analysis ; Mixing ratios ; Polymer industry, paints, wood ; Technology of polymers</subject><ispartof>International journal of adhesion and adhesives, 2012-01, Vol.32, p.23-38</ispartof><rights>2011 Elsevier Ltd</rights><rights>2014 INIST-CNRS</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c489t-71f28d9e63913f5eda38e7ecd142f9c632ff171d454d6937164d07405d9baf003</citedby><cites>FETCH-LOGICAL-c489t-71f28d9e63913f5eda38e7ecd142f9c632ff171d454d6937164d07405d9baf003</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.ijadhadh.2011.09.002$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3548,27923,27924,45994</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=25281400$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Balzani, C.</creatorcontrib><creatorcontrib>Wagner, W.</creatorcontrib><creatorcontrib>Wilckens, D.</creatorcontrib><creatorcontrib>Degenhardt, R.</creatorcontrib><creatorcontrib>Büsing, S.</creatorcontrib><creatorcontrib>Reimerdes, H.-G.</creatorcontrib><title>Adhesive joints in composite laminates—A combined numerical/experimental estimate of critical energy release rates</title><title>International journal of adhesion and adhesives</title><description>The characterization of critical energy release rates of adhesive joints in laminated composite structures is a key issue when failure analyses have to be performed. Critical energy release rates, or fracture toughnesses, are known to be dependent on the mode mixing ratio, i.e. the portion of shear loading. It is thus useful to determine a criterion which gives the critical energy release rate as a function of the mode mixing ratio, which is the overall goal of this paper. For this purpose several experiments have been performed, for single mode I, single mode II, and mixed mode I/II loading conditions with pre-defined mode mixing ratios. Unfortunately, most of the experimental outcome cannot be used directly for least squares fitting of suitable fracture toughness criteria due to a couple of reasons, which will be discussed in detail. Hence, a numerical approach based on cohesive interface elements is employed to determine some of the critical energy release rates by fitting against experimental load–deformation curves. This combined numerical/experimental approach yields a useful database of discrete critical energy release rate values. These are utilized to fit suitable criteria which then allow the calculation of critical energy release rates for any given mode mixing ratio. The results are discussed in terms of convergence to the discrete values and physical plausibility, and a simple possibility to include mode III behavior is presented.</description><subject>Adhesive joint</subject><subject>Adhesive joints</subject><subject>Application fields</subject><subject>Applied sciences</subject><subject>Cohesive interface element</subject><subject>Composite laminate</subject><subject>Criteria</subject><subject>Critical energy release rate</subject><subject>Energy release rate</subject><subject>Exact sciences and technology</subject><subject>Fittings</subject><subject>Fracture toughness</subject><subject>Material characterization</subject><subject>Mathematical analysis</subject><subject>Mixing ratios</subject><subject>Polymer industry, paints, wood</subject><subject>Technology of polymers</subject><issn>0143-7496</issn><issn>1879-0127</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><recordid>eNqFkM2KFDEQx4MoOK6-guQieOneVJLpdG4Oi1-w4EXPIZtU3DTd6THJLO7Nh_AJfRLTzupVKKii-NXH_0_IS2A9MBgupz5O1t-26DkD6JnuGeOPyA5GpTsGXD0mOwZSdErq4Sl5VsrEGCgmxY7Ug7_FEu-QTmtMtdCYqFuX41piRTrbJSZbsfz68fOw9W9iQk_TacEcnZ0v8fuxVQumameKpcal0XQN1OVYN4Jiwvz1nmac0Rakedv2nDwJdi744iFfkC_v3n6--tBdf3r_8epw3Tk56topCHz0GgehQYQ9eitGVOg8SB60GwQPARR4uZd-0ELBID1Tku29vrGBMXFBXp_3HvP67dTeM0ssDufZJlxPxcCgQIyj1ryhwxl1eS0lYzDHpsvmewPMbDabyfy12Ww2G6ZNs7kNvnq4YUvTG7JNLpZ_03zPR5B_fnlz5rAJvouYTXERk0MfM7pq_Br_d-o3ff2Zbw</recordid><startdate>20120101</startdate><enddate>20120101</enddate><creator>Balzani, C.</creator><creator>Wagner, W.</creator><creator>Wilckens, D.</creator><creator>Degenhardt, R.</creator><creator>Büsing, S.</creator><creator>Reimerdes, H.-G.</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>7SU</scope><scope>7TB</scope><scope>8BQ</scope><scope>8FD</scope><scope>C1K</scope><scope>FR3</scope><scope>JG9</scope><scope>KR7</scope></search><sort><creationdate>20120101</creationdate><title>Adhesive joints in composite laminates—A combined numerical/experimental estimate of critical energy release rates</title><author>Balzani, C. ; Wagner, W. ; Wilckens, D. ; Degenhardt, R. ; Büsing, S. ; Reimerdes, H.-G.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c489t-71f28d9e63913f5eda38e7ecd142f9c632ff171d454d6937164d07405d9baf003</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Adhesive joint</topic><topic>Adhesive joints</topic><topic>Application fields</topic><topic>Applied sciences</topic><topic>Cohesive interface element</topic><topic>Composite laminate</topic><topic>Criteria</topic><topic>Critical energy release rate</topic><topic>Energy release rate</topic><topic>Exact sciences and technology</topic><topic>Fittings</topic><topic>Fracture toughness</topic><topic>Material characterization</topic><topic>Mathematical analysis</topic><topic>Mixing ratios</topic><topic>Polymer industry, paints, wood</topic><topic>Technology of polymers</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Balzani, C.</creatorcontrib><creatorcontrib>Wagner, W.</creatorcontrib><creatorcontrib>Wilckens, D.</creatorcontrib><creatorcontrib>Degenhardt, R.</creatorcontrib><creatorcontrib>Büsing, S.</creatorcontrib><creatorcontrib>Reimerdes, H.-G.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Environmental Engineering Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Environmental Sciences and Pollution Management</collection><collection>Engineering Research Database</collection><collection>Materials Research Database</collection><collection>Civil Engineering Abstracts</collection><jtitle>International journal of adhesion and adhesives</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Balzani, C.</au><au>Wagner, W.</au><au>Wilckens, D.</au><au>Degenhardt, R.</au><au>Büsing, S.</au><au>Reimerdes, H.-G.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Adhesive joints in composite laminates—A combined numerical/experimental estimate of critical energy release rates</atitle><jtitle>International journal of adhesion and adhesives</jtitle><date>2012-01-01</date><risdate>2012</risdate><volume>32</volume><spage>23</spage><epage>38</epage><pages>23-38</pages><issn>0143-7496</issn><eissn>1879-0127</eissn><coden>IJAADK</coden><abstract>The characterization of critical energy release rates of adhesive joints in laminated composite structures is a key issue when failure analyses have to be performed. Critical energy release rates, or fracture toughnesses, are known to be dependent on the mode mixing ratio, i.e. the portion of shear loading. It is thus useful to determine a criterion which gives the critical energy release rate as a function of the mode mixing ratio, which is the overall goal of this paper. For this purpose several experiments have been performed, for single mode I, single mode II, and mixed mode I/II loading conditions with pre-defined mode mixing ratios. Unfortunately, most of the experimental outcome cannot be used directly for least squares fitting of suitable fracture toughness criteria due to a couple of reasons, which will be discussed in detail. Hence, a numerical approach based on cohesive interface elements is employed to determine some of the critical energy release rates by fitting against experimental load–deformation curves. This combined numerical/experimental approach yields a useful database of discrete critical energy release rate values. These are utilized to fit suitable criteria which then allow the calculation of critical energy release rates for any given mode mixing ratio. The results are discussed in terms of convergence to the discrete values and physical plausibility, and a simple possibility to include mode III behavior is presented.</abstract><cop>Kidlington</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.ijadhadh.2011.09.002</doi><tpages>16</tpages><oa>free_for_read</oa></addata></record> |
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source | ScienceDirect Journals (5 years ago - present) |
subjects | Adhesive joint Adhesive joints Application fields Applied sciences Cohesive interface element Composite laminate Criteria Critical energy release rate Energy release rate Exact sciences and technology Fittings Fracture toughness Material characterization Mathematical analysis Mixing ratios Polymer industry, paints, wood Technology of polymers |
title | Adhesive joints in composite laminates—A combined numerical/experimental estimate of critical energy release rates |
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