Surface stress concentration factor via Fourier representation and its application for machined surfaces
An analytical solution to the stress concentration factors (SCFs) for slightly roughened surfaces is derived and validated by Digital Image Correlation (DIC) experiment as well as finite element analysis. Surface topography is considered as a superposition of numerous cosine waves by means of Fourie...
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| Veröffentlicht in: | International journal of solids and structures 2017-05, Vol.113-114, p.108-117 |
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| container_title | International journal of solids and structures |
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| creator | Cheng, Zhengkun Liao, Ridong Lu, Wei |
| description | An analytical solution to the stress concentration factors (SCFs) for slightly roughened surfaces is derived and validated by Digital Image Correlation (DIC) experiment as well as finite element analysis. Surface topography is considered as a superposition of numerous cosine waves by means of Fourier transform. The Airy stress function of a semi-infinite half plate with superposed surface topography under tension loading is proposed. It is found that the perturbations of stress concentrations obey the superposition principle under the limitation that the surface topography is shallow. Moreover, the proposed analytical expression is applied to predict the SCFs of real machined surface topographies, and the prediction is validated by finite element analysis. The comparisons show that the proposed analytical expression is feasible in calculating the SCFs of real machined surface topographies. A quantitative relation between the root-mean-square (RMS) value of SCFs and RMS of the surface profile slope is given. |
| doi_str_mv | 10.1016/j.ijsolstr.2017.01.023 |
| format | Article |
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Surface topography is considered as a superposition of numerous cosine waves by means of Fourier transform. The Airy stress function of a semi-infinite half plate with superposed surface topography under tension loading is proposed. It is found that the perturbations of stress concentrations obey the superposition principle under the limitation that the surface topography is shallow. Moreover, the proposed analytical expression is applied to predict the SCFs of real machined surface topographies, and the prediction is validated by finite element analysis. The comparisons show that the proposed analytical expression is feasible in calculating the SCFs of real machined surface topographies. A quantitative relation between the root-mean-square (RMS) value of SCFs and RMS of the surface profile slope is given.</description><identifier>ISSN: 0020-7683</identifier><identifier>EISSN: 1879-2146</identifier><identifier>DOI: 10.1016/j.ijsolstr.2017.01.023</identifier><language>eng</language><publisher>New York: Elsevier Ltd</publisher><subject>Analytical solution ; Digital image correlation ; Digital imaging ; Experiments ; Feasibility studies ; Finite element analysis ; Finite element method ; Fourier transforms ; Mathematical analysis ; Stress concentration ; Stress concentration factor ; Stress state ; Superposition (mathematics) ; Surface topography ; Topography ; Trigonometric functions</subject><ispartof>International journal of solids and structures, 2017-05, Vol.113-114, p.108-117</ispartof><rights>2017 Elsevier Ltd</rights><rights>Copyright Elsevier BV May 15, 2017</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c388t-85db79a5e5b2ca731462a9860b03697151fc0984aab345367e71e5420410f63b3</citedby><cites>FETCH-LOGICAL-c388t-85db79a5e5b2ca731462a9860b03697151fc0984aab345367e71e5420410f63b3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0020768317300239$$EHTML$$P50$$Gelsevier$$Hfree_for_read</linktohtml><link.rule.ids>314,776,780,3537,27901,27902,65306</link.rule.ids></links><search><creatorcontrib>Cheng, Zhengkun</creatorcontrib><creatorcontrib>Liao, Ridong</creatorcontrib><creatorcontrib>Lu, Wei</creatorcontrib><title>Surface stress concentration factor via Fourier representation and its application for machined surfaces</title><title>International journal of solids and structures</title><description>An analytical solution to the stress concentration factors (SCFs) for slightly roughened surfaces is derived and validated by Digital Image Correlation (DIC) experiment as well as finite element analysis. 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A quantitative relation between the root-mean-square (RMS) value of SCFs and RMS of the surface profile slope is given.</description><subject>Analytical solution</subject><subject>Digital image correlation</subject><subject>Digital imaging</subject><subject>Experiments</subject><subject>Feasibility studies</subject><subject>Finite element analysis</subject><subject>Finite element method</subject><subject>Fourier transforms</subject><subject>Mathematical analysis</subject><subject>Stress concentration</subject><subject>Stress concentration factor</subject><subject>Stress state</subject><subject>Superposition (mathematics)</subject><subject>Surface topography</subject><subject>Topography</subject><subject>Trigonometric functions</subject><issn>0020-7683</issn><issn>1879-2146</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><recordid>eNqFkEFPwyAYhonRxDn9C4bEc-sHFGhvmsWpyRIP6plQSjOarVRgS_z3YjrPnr4D7_N-Hw9CtwRKAkTcD6Ubot_FFEoKRJZASqDsDC1ILZuCkkqcowUAhUKKml2iqxgHAKhYAwu0fT-EXhuLM25jxMaPxo4p6OT8iPNL8gEfncZrfwjOBhzslIM5Mif02GGXItbTtHPmRGVkr83WjbbDce6P1-ii17tob05ziT7XTx-rl2Lz9vy6etwUhtV1KmretbLR3PKWGi1Zvp7qphbQAhONJJz0Bpq60rplFWdCWkksryhUBHrBWrZEd3PvFPzXwcakhnz5mFcq0jDOgHHCckrMKRN8jMH2agpur8O3IqB-rapB_VlVv1YVEJWtZvBhBm3-wzELUdE4m511LliTVOfdfxU_J0uFZg</recordid><startdate>20170515</startdate><enddate>20170515</enddate><creator>Cheng, Zhengkun</creator><creator>Liao, Ridong</creator><creator>Lu, Wei</creator><general>Elsevier Ltd</general><general>Elsevier BV</general><scope>6I.</scope><scope>AAFTH</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>7TB</scope><scope>8BQ</scope><scope>8FD</scope><scope>FR3</scope><scope>JG9</scope><scope>KR7</scope></search><sort><creationdate>20170515</creationdate><title>Surface stress concentration factor via Fourier representation and its application for machined surfaces</title><author>Cheng, Zhengkun ; Liao, Ridong ; Lu, Wei</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c388t-85db79a5e5b2ca731462a9860b03697151fc0984aab345367e71e5420410f63b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Analytical solution</topic><topic>Digital image correlation</topic><topic>Digital imaging</topic><topic>Experiments</topic><topic>Feasibility studies</topic><topic>Finite element analysis</topic><topic>Finite element method</topic><topic>Fourier transforms</topic><topic>Mathematical analysis</topic><topic>Stress concentration</topic><topic>Stress concentration factor</topic><topic>Stress state</topic><topic>Superposition (mathematics)</topic><topic>Surface topography</topic><topic>Topography</topic><topic>Trigonometric functions</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Cheng, Zhengkun</creatorcontrib><creatorcontrib>Liao, Ridong</creatorcontrib><creatorcontrib>Lu, Wei</creatorcontrib><collection>ScienceDirect Open Access Titles</collection><collection>Elsevier:ScienceDirect:Open Access</collection><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Materials Research Database</collection><collection>Civil Engineering Abstracts</collection><jtitle>International journal of solids and structures</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Cheng, Zhengkun</au><au>Liao, Ridong</au><au>Lu, Wei</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Surface stress concentration factor via Fourier representation and its application for machined surfaces</atitle><jtitle>International journal of solids and structures</jtitle><date>2017-05-15</date><risdate>2017</risdate><volume>113-114</volume><spage>108</spage><epage>117</epage><pages>108-117</pages><issn>0020-7683</issn><eissn>1879-2146</eissn><abstract>An analytical solution to the stress concentration factors (SCFs) for slightly roughened surfaces is derived and validated by Digital Image Correlation (DIC) experiment as well as finite element analysis. 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| subjects | Analytical solution Digital image correlation Digital imaging Experiments Feasibility studies Finite element analysis Finite element method Fourier transforms Mathematical analysis Stress concentration Stress concentration factor Stress state Superposition (mathematics) Surface topography Topography Trigonometric functions |
| title | Surface stress concentration factor via Fourier representation and its application for machined surfaces |
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