Analytical and finite element solution of the sliding frictional contact problem for a homogeneous orthotropic coating‐isotropic substrate system
In this study, the contact problem for a homogeneous orthotropic coating‐isotropic substrate system is considered. The rigid stamp slides over the orthotropic coating whose bottom surface is bonded to a homogeneous isotropic substrate. The bottom surface of the substrate is fixed to the ground. By u...
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| Veröffentlicht in: | Zeitschrift für angewandte Mathematik und Mechanik 2019-03, Vol.99 (3), p.n/a |
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| creator | Yilmaz, K. B. Çömez, İ. Güler, M. A. Yildirim, B. |
| description | In this study, the contact problem for a homogeneous orthotropic coating‐isotropic substrate system is considered. The rigid stamp slides over the orthotropic coating whose bottom surface is bonded to a homogeneous isotropic substrate. The bottom surface of the substrate is fixed to the ground. By using Fourier integral transforms, the partial differential equations are converted to ordinary differential equations (ODEs). The displacement components for coating and substrate are obtained by solving the corresponding ODEs. A numerical study based on finite element analysis (FEA) is also conducted. The results from the analytical formulation are directly compared with the FEA results. The effects of orthotropic and isotropic material properties, coefficient of friction between the sliding surfaces, geometrical properties on the contact stresses and contact widths are presented. The results of this study may help tribology engineers to understand the deformation characteristics of the coating‐substrate systems and enhance their knowledge on friction and wear mechanisms of sliding surfaces.
In this study, the contact problem for a homogeneous orthotropic coating‐isotropic substrate system is considered. The rigid stamp slides over the orthotropic coating whose bottom surface is bonded to a homogeneous isotropic substrate. The bottom surface of the substrate is fixed to the ground. By using Fourier integral transforms, the partial differential equations are converted to ordinary differential equations (ODEs). The displacement components for coating and substrate are obtained by solving the corresponding ODEs. A numerical study based on finite element analysis (FEA) is also conducted. The results from the analytical formulation are directly compared with the FEA results. The effects of orthotropic and isotropic material properties, coefficient of friction between the sliding surfaces, geometrical properties on the contact stresses and contact widths are presented. The results of this study may help tribology engineers to understand the deformation characteristics of the coating‐substrate systems and enhance their knowledge on friction and wear mechanisms of sliding surfaces. |
| doi_str_mv | 10.1002/zamm.201800117 |
| format | Article |
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In this study, the contact problem for a homogeneous orthotropic coating‐isotropic substrate system is considered. The rigid stamp slides over the orthotropic coating whose bottom surface is bonded to a homogeneous isotropic substrate. The bottom surface of the substrate is fixed to the ground. By using Fourier integral transforms, the partial differential equations are converted to ordinary differential equations (ODEs). The displacement components for coating and substrate are obtained by solving the corresponding ODEs. A numerical study based on finite element analysis (FEA) is also conducted. The results from the analytical formulation are directly compared with the FEA results. The effects of orthotropic and isotropic material properties, coefficient of friction between the sliding surfaces, geometrical properties on the contact stresses and contact widths are presented. The results of this study may help tribology engineers to understand the deformation characteristics of the coating‐substrate systems and enhance their knowledge on friction and wear mechanisms of sliding surfaces.</description><identifier>ISSN: 0044-2267</identifier><identifier>EISSN: 1521-4001</identifier><identifier>DOI: 10.1002/zamm.201800117</identifier><language>eng</language><publisher>Weinheim: Wiley Subscription Services, Inc</publisher><subject>Coating ; Coefficient of friction ; Contact stresses ; Deformation mechanisms ; Finite element method ; friction ; Integral transforms ; Isotropic material ; Material properties ; Mathematical analysis ; Ordinary differential equations ; orthotropic coating‐isotropic substrate ; Partial differential equations ; singular integral equations ; Sliding ; sliding contact ; Substrates ; Tribology ; Wear mechanisms</subject><ispartof>Zeitschrift für angewandte Mathematik und Mechanik, 2019-03, Vol.99 (3), p.n/a</ispartof><rights>2019 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c3177-e5d6e200fff342273a8fd0e8d8de568136b6b382c4e1282c066edc3995d5ca1c3</citedby><cites>FETCH-LOGICAL-c3177-e5d6e200fff342273a8fd0e8d8de568136b6b382c4e1282c066edc3995d5ca1c3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Fzamm.201800117$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fzamm.201800117$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,780,784,1417,27924,27925,45574,45575</link.rule.ids></links><search><creatorcontrib>Yilmaz, K. B.</creatorcontrib><creatorcontrib>Çömez, İ.</creatorcontrib><creatorcontrib>Güler, M. A.</creatorcontrib><creatorcontrib>Yildirim, B.</creatorcontrib><title>Analytical and finite element solution of the sliding frictional contact problem for a homogeneous orthotropic coating‐isotropic substrate system</title><title>Zeitschrift für angewandte Mathematik und Mechanik</title><description>In this study, the contact problem for a homogeneous orthotropic coating‐isotropic substrate system is considered. The rigid stamp slides over the orthotropic coating whose bottom surface is bonded to a homogeneous isotropic substrate. The bottom surface of the substrate is fixed to the ground. By using Fourier integral transforms, the partial differential equations are converted to ordinary differential equations (ODEs). The displacement components for coating and substrate are obtained by solving the corresponding ODEs. A numerical study based on finite element analysis (FEA) is also conducted. The results from the analytical formulation are directly compared with the FEA results. The effects of orthotropic and isotropic material properties, coefficient of friction between the sliding surfaces, geometrical properties on the contact stresses and contact widths are presented. The results of this study may help tribology engineers to understand the deformation characteristics of the coating‐substrate systems and enhance their knowledge on friction and wear mechanisms of sliding surfaces.
In this study, the contact problem for a homogeneous orthotropic coating‐isotropic substrate system is considered. The rigid stamp slides over the orthotropic coating whose bottom surface is bonded to a homogeneous isotropic substrate. The bottom surface of the substrate is fixed to the ground. By using Fourier integral transforms, the partial differential equations are converted to ordinary differential equations (ODEs). The displacement components for coating and substrate are obtained by solving the corresponding ODEs. A numerical study based on finite element analysis (FEA) is also conducted. The results from the analytical formulation are directly compared with the FEA results. The effects of orthotropic and isotropic material properties, coefficient of friction between the sliding surfaces, geometrical properties on the contact stresses and contact widths are presented. The results of this study may help tribology engineers to understand the deformation characteristics of the coating‐substrate systems and enhance their knowledge on friction and wear mechanisms of sliding surfaces.</description><subject>Coating</subject><subject>Coefficient of friction</subject><subject>Contact stresses</subject><subject>Deformation mechanisms</subject><subject>Finite element method</subject><subject>friction</subject><subject>Integral transforms</subject><subject>Isotropic material</subject><subject>Material properties</subject><subject>Mathematical analysis</subject><subject>Ordinary differential equations</subject><subject>orthotropic coating‐isotropic substrate</subject><subject>Partial differential equations</subject><subject>singular integral equations</subject><subject>Sliding</subject><subject>sliding contact</subject><subject>Substrates</subject><subject>Tribology</subject><subject>Wear mechanisms</subject><issn>0044-2267</issn><issn>1521-4001</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNqFkMtKAzEUhoMoWKtb1wHXU3OZ67IUb9DiRjduhjRz0qbMJDXJIOPKRxB8Q5_ElHpZujqcn_87lx-hc0omlBB2-Sq6bsIILQmhtDhAI5oxmqSxO0QjQtI0YSwvjtGJ9xsS1YryEfqYGtEOQUvRYmEarLTRATC00IEJ2Nu2D9oabBUOa8C-1Y02K6ycljs9UtKaIGTAW2eXkcLKOizw2nZ2BQZs77F1YW2Ds1sto1uEOODz7V37H833Sx-ciGv94AN0p-hIidbD2Xcdo8frq4fZbTK_v7mbTeeJ5LQoEsiaHBghSimeMlZwUaqGQNmUDWR5SXm-zJe8ZDIFymIheQ6N5FWVNZkUVPIxutjPjac_9-BDvbG9iz_5mtGyKGhW8SK6JnuXdNZ7B6reOt0JN9SU1Lvg613w9W_wEaj2wItuYfjHXT9NF4s_9gugAY0M</recordid><startdate>201903</startdate><enddate>201903</enddate><creator>Yilmaz, K. B.</creator><creator>Çömez, İ.</creator><creator>Güler, M. A.</creator><creator>Yildirim, B.</creator><general>Wiley Subscription Services, Inc</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>201903</creationdate><title>Analytical and finite element solution of the sliding frictional contact problem for a homogeneous orthotropic coating‐isotropic substrate system</title><author>Yilmaz, K. B. ; Çömez, İ. ; Güler, M. A. ; Yildirim, B.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3177-e5d6e200fff342273a8fd0e8d8de568136b6b382c4e1282c066edc3995d5ca1c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Coating</topic><topic>Coefficient of friction</topic><topic>Contact stresses</topic><topic>Deformation mechanisms</topic><topic>Finite element method</topic><topic>friction</topic><topic>Integral transforms</topic><topic>Isotropic material</topic><topic>Material properties</topic><topic>Mathematical analysis</topic><topic>Ordinary differential equations</topic><topic>orthotropic coating‐isotropic substrate</topic><topic>Partial differential equations</topic><topic>singular integral equations</topic><topic>Sliding</topic><topic>sliding contact</topic><topic>Substrates</topic><topic>Tribology</topic><topic>Wear mechanisms</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Yilmaz, K. B.</creatorcontrib><creatorcontrib>Çömez, İ.</creatorcontrib><creatorcontrib>Güler, M. A.</creatorcontrib><creatorcontrib>Yildirim, B.</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</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>Zeitschrift für angewandte Mathematik und Mechanik</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Yilmaz, K. B.</au><au>Çömez, İ.</au><au>Güler, M. A.</au><au>Yildirim, B.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Analytical and finite element solution of the sliding frictional contact problem for a homogeneous orthotropic coating‐isotropic substrate system</atitle><jtitle>Zeitschrift für angewandte Mathematik und Mechanik</jtitle><date>2019-03</date><risdate>2019</risdate><volume>99</volume><issue>3</issue><epage>n/a</epage><issn>0044-2267</issn><eissn>1521-4001</eissn><abstract>In this study, the contact problem for a homogeneous orthotropic coating‐isotropic substrate system is considered. The rigid stamp slides over the orthotropic coating whose bottom surface is bonded to a homogeneous isotropic substrate. The bottom surface of the substrate is fixed to the ground. By using Fourier integral transforms, the partial differential equations are converted to ordinary differential equations (ODEs). The displacement components for coating and substrate are obtained by solving the corresponding ODEs. A numerical study based on finite element analysis (FEA) is also conducted. The results from the analytical formulation are directly compared with the FEA results. The effects of orthotropic and isotropic material properties, coefficient of friction between the sliding surfaces, geometrical properties on the contact stresses and contact widths are presented. The results of this study may help tribology engineers to understand the deformation characteristics of the coating‐substrate systems and enhance their knowledge on friction and wear mechanisms of sliding surfaces.
In this study, the contact problem for a homogeneous orthotropic coating‐isotropic substrate system is considered. The rigid stamp slides over the orthotropic coating whose bottom surface is bonded to a homogeneous isotropic substrate. The bottom surface of the substrate is fixed to the ground. By using Fourier integral transforms, the partial differential equations are converted to ordinary differential equations (ODEs). The displacement components for coating and substrate are obtained by solving the corresponding ODEs. A numerical study based on finite element analysis (FEA) is also conducted. The results from the analytical formulation are directly compared with the FEA results. The effects of orthotropic and isotropic material properties, coefficient of friction between the sliding surfaces, geometrical properties on the contact stresses and contact widths are presented. The results of this study may help tribology engineers to understand the deformation characteristics of the coating‐substrate systems and enhance their knowledge on friction and wear mechanisms of sliding surfaces.</abstract><cop>Weinheim</cop><pub>Wiley Subscription Services, Inc</pub><doi>10.1002/zamm.201800117</doi><tpages>17</tpages></addata></record> |
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| subjects | Coating Coefficient of friction Contact stresses Deformation mechanisms Finite element method friction Integral transforms Isotropic material Material properties Mathematical analysis Ordinary differential equations orthotropic coating‐isotropic substrate Partial differential equations singular integral equations Sliding sliding contact Substrates Tribology Wear mechanisms |
| title | Analytical and finite element solution of the sliding frictional contact problem for a homogeneous orthotropic coating‐isotropic substrate system |
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