A finite difference solution of a steel plate with an internal hole using the displacement potential approach
The finite difference technique based on a displacement potential formulation is extended to solve an elastic plane stress problem with geometric perturbations such as holes, arbitrary defects, notches, etc. An elastic steel plate having an internal hole is constrained at one edge and a shear load i...
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| Veröffentlicht in: | Journal of strain analysis for engineering design 2009-11, Vol.44 (8), p.713-728 |
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| container_title | Journal of strain analysis for engineering design |
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| creator | Deb Nath, S K Salam Akanda, M A |
| description | The finite difference technique based on a displacement potential formulation is extended to solve an elastic plane stress problem with geometric perturbations such as holes, arbitrary defects, notches, etc. An elastic steel plate having an internal hole is constrained at one edge and a shear load is applied to the opposite edge. The present problem is solved by using the extended finite difference technique based on displacement potential approach. The different displacement and stress components at different sections of the plate are shown graphically and discussed; from the analysis of stress and displacement components at different sections of the plate, critical regions of the plate are identified. The superiority of the finite difference method (FDM) based on the displacement potential formulation over the finite element method (FEM) is verified by the comparison between the solutions of the present problem by the FDM and FEM. From the comparison between the solutions of the FEM and FDM, it is concluded that the present finite difference technique based on the displacement potential formulation is reliable and can be used to solve the structural elements having internal defects. |
| doi_str_mv | 10.1243/03093247JSA508 |
| format | Article |
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The present problem is solved by using the extended finite difference technique based on displacement potential approach. The different displacement and stress components at different sections of the plate are shown graphically and discussed; from the analysis of stress and displacement components at different sections of the plate, critical regions of the plate are identified. The superiority of the finite difference method (FDM) based on the displacement potential formulation over the finite element method (FEM) is verified by the comparison between the solutions of the present problem by the FDM and FEM. From the comparison between the solutions of the FEM and FDM, it is concluded that the present finite difference technique based on the displacement potential formulation is reliable and can be used to solve the structural elements having internal defects.</description><identifier>ISSN: 0309-3247</identifier><identifier>EISSN: 2041-3130</identifier><identifier>DOI: 10.1243/03093247JSA508</identifier><language>eng</language><publisher>London, England: SAGE Publications</publisher><subject>Accuracy ; Comparative analysis ; Defects ; Design ; Displacement ; Elasticity ; Finite difference method ; Finite element analysis ; Finite element method ; Formulations ; Mathematical analysis ; Mathematical models ; Partial differential equations ; Shear stress ; Stress analysis ; Structural steels</subject><ispartof>Journal of strain analysis for engineering design, 2009-11, Vol.44 (8), p.713-728</ispartof><rights>2009 Institution of Mechanical Engineers</rights><rights>Copyright Professional Engineering Publishing Ltd Nov 2009</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c334t-3992978e212d599f552dd895709f9f9188a8c63e0ad6029ef105b5178f5556163</citedby><cites>FETCH-LOGICAL-c334t-3992978e212d599f552dd895709f9f9188a8c63e0ad6029ef105b5178f5556163</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://journals.sagepub.com/doi/pdf/10.1243/03093247JSA508$$EPDF$$P50$$Gsage$$H</linktopdf><linktohtml>$$Uhttps://journals.sagepub.com/doi/10.1243/03093247JSA508$$EHTML$$P50$$Gsage$$H</linktohtml><link.rule.ids>314,780,784,21819,27924,27925,43621,43622</link.rule.ids></links><search><creatorcontrib>Deb Nath, S K</creatorcontrib><creatorcontrib>Salam Akanda, M A</creatorcontrib><title>A finite difference solution of a steel plate with an internal hole using the displacement potential approach</title><title>Journal of strain analysis for engineering design</title><description>The finite difference technique based on a displacement potential formulation is extended to solve an elastic plane stress problem with geometric perturbations such as holes, arbitrary defects, notches, etc. An elastic steel plate having an internal hole is constrained at one edge and a shear load is applied to the opposite edge. The present problem is solved by using the extended finite difference technique based on displacement potential approach. The different displacement and stress components at different sections of the plate are shown graphically and discussed; from the analysis of stress and displacement components at different sections of the plate, critical regions of the plate are identified. The superiority of the finite difference method (FDM) based on the displacement potential formulation over the finite element method (FEM) is verified by the comparison between the solutions of the present problem by the FDM and FEM. From the comparison between the solutions of the FEM and FDM, it is concluded that the present finite difference technique based on the displacement potential formulation is reliable and can be used to solve the structural elements having internal defects.</description><subject>Accuracy</subject><subject>Comparative analysis</subject><subject>Defects</subject><subject>Design</subject><subject>Displacement</subject><subject>Elasticity</subject><subject>Finite difference method</subject><subject>Finite element analysis</subject><subject>Finite element method</subject><subject>Formulations</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Partial differential equations</subject><subject>Shear stress</subject><subject>Stress analysis</subject><subject>Structural steels</subject><issn>0309-3247</issn><issn>2041-3130</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNptkL1PwzAQxS0EEqWwMlssDCjFH3Ecj1XFpyoxAHNkknPjKrVD7Ajx3-OoDIDQG254v3unewidU7KgLOfXhBPFWS4fn5eClAdoxkhOM045OUSzycwm9xidhLAlhEqRsxnaLbGxzkbAjTUGBnA14OC7MVrvsDdY4xABOtx3OkEfNrZYO2xdhMHpDre-AzwG6zY4tlNISGANO3AR9z6mYROl-37wum5P0ZHRXYCz7zlHr7c3L6v7bP1097BarrOa8zxmXCmmZAmMskYoZYRgTVMqIYkySbQsdVkXHIhuCsIUGErEm6CyTKQoaMHn6HKfm86-jxBitbOhhq7TDvwYKim4ZDInJJEXf8itH6fPQkWVyJNSqXO02EP14EMYwFT9YHd6-Kwoqabuq9_dp4Wr_ULQG_iR-D_9BZOKgq4</recordid><startdate>20091101</startdate><enddate>20091101</enddate><creator>Deb Nath, S K</creator><creator>Salam Akanda, M A</creator><general>SAGE Publications</general><general>SAGE PUBLICATIONS, INC</general><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7SR</scope><scope>7TB</scope><scope>7XB</scope><scope>88I</scope><scope>8BQ</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>F28</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>H8D</scope><scope>HCIFZ</scope><scope>JG9</scope><scope>KR7</scope><scope>L6V</scope><scope>L7M</scope><scope>M2P</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>Q9U</scope></search><sort><creationdate>20091101</creationdate><title>A finite difference solution of a steel plate with an internal hole using the displacement potential approach</title><author>Deb Nath, S K ; Salam Akanda, M A</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c334t-3992978e212d599f552dd895709f9f9188a8c63e0ad6029ef105b5178f5556163</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Accuracy</topic><topic>Comparative analysis</topic><topic>Defects</topic><topic>Design</topic><topic>Displacement</topic><topic>Elasticity</topic><topic>Finite difference method</topic><topic>Finite element analysis</topic><topic>Finite element method</topic><topic>Formulations</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Partial differential equations</topic><topic>Shear stress</topic><topic>Stress analysis</topic><topic>Structural steels</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Deb Nath, S K</creatorcontrib><creatorcontrib>Salam Akanda, M A</creatorcontrib><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Engineered Materials Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Science Database (Alumni Edition)</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering Research Database</collection><collection>ProQuest Central Student</collection><collection>Aerospace Database</collection><collection>SciTech Premium Collection</collection><collection>Materials Research Database</collection><collection>Civil Engineering Abstracts</collection><collection>ProQuest Engineering Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Science Database</collection><collection>Engineering Database</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>ProQuest Central Basic</collection><jtitle>Journal of strain analysis for engineering design</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Deb Nath, S K</au><au>Salam Akanda, M A</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A finite difference solution of a steel plate with an internal hole using the displacement potential approach</atitle><jtitle>Journal of strain analysis for engineering design</jtitle><date>2009-11-01</date><risdate>2009</risdate><volume>44</volume><issue>8</issue><spage>713</spage><epage>728</epage><pages>713-728</pages><issn>0309-3247</issn><eissn>2041-3130</eissn><abstract>The finite difference technique based on a displacement potential formulation is extended to solve an elastic plane stress problem with geometric perturbations such as holes, arbitrary defects, notches, etc. An elastic steel plate having an internal hole is constrained at one edge and a shear load is applied to the opposite edge. The present problem is solved by using the extended finite difference technique based on displacement potential approach. The different displacement and stress components at different sections of the plate are shown graphically and discussed; from the analysis of stress and displacement components at different sections of the plate, critical regions of the plate are identified. The superiority of the finite difference method (FDM) based on the displacement potential formulation over the finite element method (FEM) is verified by the comparison between the solutions of the present problem by the FDM and FEM. From the comparison between the solutions of the FEM and FDM, it is concluded that the present finite difference technique based on the displacement potential formulation is reliable and can be used to solve the structural elements having internal defects.</abstract><cop>London, England</cop><pub>SAGE Publications</pub><doi>10.1243/03093247JSA508</doi><tpages>16</tpages></addata></record> |
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| subjects | Accuracy Comparative analysis Defects Design Displacement Elasticity Finite difference method Finite element analysis Finite element method Formulations Mathematical analysis Mathematical models Partial differential equations Shear stress Stress analysis Structural steels |
| title | A finite difference solution of a steel plate with an internal hole using the displacement potential approach |
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