Delamination of a Three-Layer Base Under the Action of Normal Loading
We study the nonlinear behavior of a multilayer system subjected to the action of normally distributed surface loads. For this purpose, we use the numerical-analytic modeling of the nonlinear processes of deformation of three-layer systems. The nonlinear boundary-value problem with additional condit...
Gespeichert in:
| Veröffentlicht in: | Journal of mathematical sciences (New York, N.Y.) N.Y.), 2021-04, Vol.254 (1), p.89-102 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 102 |
|---|---|
| container_issue | 1 |
| container_start_page | 89 |
| container_title | Journal of mathematical sciences (New York, N.Y.) |
| container_volume | 254 |
| creator | Guk, N. A. Kozakova, N. L. |
| description | We study the nonlinear behavior of a multilayer system subjected to the action of normally distributed surface loads. For this purpose, we use the numerical-analytic modeling of the nonlinear processes of deformation of three-layer systems. The nonlinear boundary-value problem with additional conditions in the form of inequalities is formulated in the variational statement. To solve the problem, we use the finite-element method combined with the Newton–Raphson method, and method of continuation in the parameter of loading. The stress-strain state is numerically analyzed for various thicknesses of the upper layer and the size of the loading zone. |
| doi_str_mv | 10.1007/s10958-021-05290-w |
| format | Article |
| fullrecord | <record><control><sourceid>gale_proqu</sourceid><recordid>TN_cdi_proquest_journals_2500466696</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><galeid>A726659317</galeid><sourcerecordid>A726659317</sourcerecordid><originalsourceid>FETCH-LOGICAL-c368w-27ad461aa2ac3a1135cc336845a4c513dfdf7df08e41b8e7fbe397e4058ef2b73</originalsourceid><addsrcrecordid>eNp9kU1r3DAQhk1pIWmSP5CToacelOrDkuzjNtm0gaWBZnMWs_LIcbClRPKyyb-PttsSFpaigwbN84xg3qI4Z_SCUaq_JUYbWRPKGaGSN5RsPhTHTGpBat3Ij7mmmhMhdHVUfE7pkWZJ1eK4mF_hAGPvYeqDL4MroVw-RESygFeM5XdIWN77NpfTA5Yz-w_7FeIIQ7kI0Pa-Oy0-ORgSnv29T4r76_ny8idZ3P64uZwtiBWq3hCuoa0UA-BgBTAmpLUidyoJlZVMtK51unW0xoqtatRuhaLRWFFZo-MrLU6KL7u5TzE8rzFN5jGso89fGi4prZRSjXqnOhjQ9N6FKYId-2TNTHOlZCPYdhY5QHXoMcIQPLo-P-_xFwf4fFoce3tQ-LonZGbCl6mDdUrm5u73Pst3rI0hpYjOPMV-hPhqGDXbhM0uYZMTNn8SNpssiZ2UMuw7jO_b-I_1Bu-VpWU</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2500466696</pqid></control><display><type>article</type><title>Delamination of a Three-Layer Base Under the Action of Normal Loading</title><source>SpringerLink Journals - AutoHoldings</source><creator>Guk, N. A. ; Kozakova, N. L.</creator><creatorcontrib>Guk, N. A. ; Kozakova, N. L.</creatorcontrib><description>We study the nonlinear behavior of a multilayer system subjected to the action of normally distributed surface loads. For this purpose, we use the numerical-analytic modeling of the nonlinear processes of deformation of three-layer systems. The nonlinear boundary-value problem with additional conditions in the form of inequalities is formulated in the variational statement. To solve the problem, we use the finite-element method combined with the Newton–Raphson method, and method of continuation in the parameter of loading. The stress-strain state is numerically analyzed for various thicknesses of the upper layer and the size of the loading zone.</description><identifier>ISSN: 1072-3374</identifier><identifier>EISSN: 1573-8795</identifier><identifier>DOI: 10.1007/s10958-021-05290-w</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Analysis ; Boundary value problems ; Finite element method ; Laminated materials ; Mathematics ; Mathematics and Statistics ; Multilayers ; Nonlinear systems ; Strain analysis ; Stress concentration ; Thickness</subject><ispartof>Journal of mathematical sciences (New York, N.Y.), 2021-04, Vol.254 (1), p.89-102</ispartof><rights>Springer Science+Business Media, LLC, part of Springer Nature 2021</rights><rights>COPYRIGHT 2021 Springer</rights><rights>Springer Science+Business Media, LLC, part of Springer Nature 2021.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c368w-27ad461aa2ac3a1135cc336845a4c513dfdf7df08e41b8e7fbe397e4058ef2b73</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10958-021-05290-w$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10958-021-05290-w$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,778,782,27907,27908,41471,42540,51302</link.rule.ids></links><search><creatorcontrib>Guk, N. A.</creatorcontrib><creatorcontrib>Kozakova, N. L.</creatorcontrib><title>Delamination of a Three-Layer Base Under the Action of Normal Loading</title><title>Journal of mathematical sciences (New York, N.Y.)</title><addtitle>J Math Sci</addtitle><description>We study the nonlinear behavior of a multilayer system subjected to the action of normally distributed surface loads. For this purpose, we use the numerical-analytic modeling of the nonlinear processes of deformation of three-layer systems. The nonlinear boundary-value problem with additional conditions in the form of inequalities is formulated in the variational statement. To solve the problem, we use the finite-element method combined with the Newton–Raphson method, and method of continuation in the parameter of loading. The stress-strain state is numerically analyzed for various thicknesses of the upper layer and the size of the loading zone.</description><subject>Analysis</subject><subject>Boundary value problems</subject><subject>Finite element method</subject><subject>Laminated materials</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Multilayers</subject><subject>Nonlinear systems</subject><subject>Strain analysis</subject><subject>Stress concentration</subject><subject>Thickness</subject><issn>1072-3374</issn><issn>1573-8795</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp9kU1r3DAQhk1pIWmSP5CToacelOrDkuzjNtm0gaWBZnMWs_LIcbClRPKyyb-PttsSFpaigwbN84xg3qI4Z_SCUaq_JUYbWRPKGaGSN5RsPhTHTGpBat3Ij7mmmhMhdHVUfE7pkWZJ1eK4mF_hAGPvYeqDL4MroVw-RESygFeM5XdIWN77NpfTA5Yz-w_7FeIIQ7kI0Pa-Oy0-ORgSnv29T4r76_ny8idZ3P64uZwtiBWq3hCuoa0UA-BgBTAmpLUidyoJlZVMtK51unW0xoqtatRuhaLRWFFZo-MrLU6KL7u5TzE8rzFN5jGso89fGi4prZRSjXqnOhjQ9N6FKYId-2TNTHOlZCPYdhY5QHXoMcIQPLo-P-_xFwf4fFoce3tQ-LonZGbCl6mDdUrm5u73Pst3rI0hpYjOPMV-hPhqGDXbhM0uYZMTNn8SNpssiZ2UMuw7jO_b-I_1Bu-VpWU</recordid><startdate>20210401</startdate><enddate>20210401</enddate><creator>Guk, N. A.</creator><creator>Kozakova, N. L.</creator><general>Springer US</general><general>Springer</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>ISR</scope></search><sort><creationdate>20210401</creationdate><title>Delamination of a Three-Layer Base Under the Action of Normal Loading</title><author>Guk, N. A. ; Kozakova, N. L.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c368w-27ad461aa2ac3a1135cc336845a4c513dfdf7df08e41b8e7fbe397e4058ef2b73</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Analysis</topic><topic>Boundary value problems</topic><topic>Finite element method</topic><topic>Laminated materials</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Multilayers</topic><topic>Nonlinear systems</topic><topic>Strain analysis</topic><topic>Stress concentration</topic><topic>Thickness</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Guk, N. A.</creatorcontrib><creatorcontrib>Kozakova, N. L.</creatorcontrib><collection>CrossRef</collection><collection>Gale In Context: Science</collection><jtitle>Journal of mathematical sciences (New York, N.Y.)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Guk, N. A.</au><au>Kozakova, N. L.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Delamination of a Three-Layer Base Under the Action of Normal Loading</atitle><jtitle>Journal of mathematical sciences (New York, N.Y.)</jtitle><stitle>J Math Sci</stitle><date>2021-04-01</date><risdate>2021</risdate><volume>254</volume><issue>1</issue><spage>89</spage><epage>102</epage><pages>89-102</pages><issn>1072-3374</issn><eissn>1573-8795</eissn><abstract>We study the nonlinear behavior of a multilayer system subjected to the action of normally distributed surface loads. For this purpose, we use the numerical-analytic modeling of the nonlinear processes of deformation of three-layer systems. The nonlinear boundary-value problem with additional conditions in the form of inequalities is formulated in the variational statement. To solve the problem, we use the finite-element method combined with the Newton–Raphson method, and method of continuation in the parameter of loading. The stress-strain state is numerically analyzed for various thicknesses of the upper layer and the size of the loading zone.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s10958-021-05290-w</doi><tpages>14</tpages><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1072-3374 |
| ispartof | Journal of mathematical sciences (New York, N.Y.), 2021-04, Vol.254 (1), p.89-102 |
| issn | 1072-3374 1573-8795 |
| language | eng |
| recordid | cdi_proquest_journals_2500466696 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Analysis Boundary value problems Finite element method Laminated materials Mathematics Mathematics and Statistics Multilayers Nonlinear systems Strain analysis Stress concentration Thickness |
| title | Delamination of a Three-Layer Base Under the Action of Normal Loading |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-17T04%3A45%3A37IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-gale_proqu&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Delamination%20of%20a%20Three-Layer%20Base%20Under%20the%20Action%20of%20Normal%20Loading&rft.jtitle=Journal%20of%20mathematical%20sciences%20(New%20York,%20N.Y.)&rft.au=Guk,%20N.%20A.&rft.date=2021-04-01&rft.volume=254&rft.issue=1&rft.spage=89&rft.epage=102&rft.pages=89-102&rft.issn=1072-3374&rft.eissn=1573-8795&rft_id=info:doi/10.1007/s10958-021-05290-w&rft_dat=%3Cgale_proqu%3EA726659317%3C/gale_proqu%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2500466696&rft_id=info:pmid/&rft_galeid=A726659317&rfr_iscdi=true |