On three-dimensional singular stress field at the front of a planar rigid inclusion (anticrack) in an orthorhombic mono-crystalline plate
A novel eigenfunction expansion technique, based in part on separation of the thickness-variable and partly on the Eshelby–Stroh type affine transformation, is developed to derive three-dimensional asymptotic stress field in the vicinity of the front of a semi-infinite through-thickness anticrack re...
Gespeichert in:
| Veröffentlicht in: | International journal of fracture 2012-04, Vol.174 (2), p.103-126 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 126 |
|---|---|
| container_issue | 2 |
| container_start_page | 103 |
| container_title | International journal of fracture |
| container_volume | 174 |
| creator | Chaudhuri, Reaz A. |
| description | A novel eigenfunction expansion technique, based in part on separation of the thickness-variable and partly on the Eshelby–Stroh type affine transformation, is developed to derive three-dimensional asymptotic stress field in the vicinity of the front of a semi-infinite through-thickness anticrack reinforcing an infinite orthorhombic single crystal plate, of finite thickness and subjected to far-field mode I/II loadings. Anticrack-face boundary conditions and those that are prescribed on the top and bottom (free or fixed) surfaces of the plate are exactly satisfied. The present investigation considers six through-anticrack systems reinforcing orthorhombic single crystal plates. Explicit expressions for the singular stresses in the vicinity of the front of a through-thickness anticrack reinforcing an orthorhombic plate, subjected to far-field mode I/II loadings, are presented. Finally, hitherto largely unavailable results, pertaining to the through-thickness variations of stress singularity coefficients corresponding to symmetric and skew-symmetric sinusoidal loads that also satisfy the boundary conditions on the top and bottom surfaces of an orthorhombic mono-crystalline plate under investigation, bridge a longstanding gap in the stress singularity/fracture mechanics literature. |
| doi_str_mv | 10.1007/s10704-012-9679-1 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_1671329459</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1671329459</sourcerecordid><originalsourceid>FETCH-LOGICAL-c412t-f8c103ff857d1f2c507b618e87e12a35a06b569f6b1cb77f7414bdb2cc5d44b23</originalsourceid><addsrcrecordid>eNqFkU2LVSEYgA9R0G3qB7QTIpgWlq_n-LWMoZqBgdnUWjwevdfJozf1LOYn9K_zcoeCIFoJ-rwP6jMMr4G8B0LEhwpEkAkToFhxoTA8GXbAxIgpF-PTYUdGwbGaqHo-vKj1nhCihJx2w8-7hNqhOIeXsLpUQ04mohrSfoumoNqKqxX54OKCTOuoQ77k1FD2yKBjNKlTJezDgkKycTsJ0KVJLdhi7Pd3fReZhHJph1wOeZ2DRWtOGdvyUJuJMSR30jT3cnjmTazu1eN6MXz7_Onr1TW-vftyc_XxFtsJaMNeWiCj95KJBTy1jIiZg3RSOKBmZIbwmXHl-Qx2FsKLCaZ5mam1bJmmmY4Xw-XZeyz5x-Zq02uo1sX-FJe3qoELGKmamPo_SilIwbmSHX3zF3qft9L_smpKmZJUypF1Cs6ULbnW4rw-lrCa8qCB6FNHfe6oe0d96qihz7x9NJtqTfTFJBvq70HKekfFx87RM1f7Udq78ucG_5b_AqQOrjs</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2259828835</pqid></control><display><type>article</type><title>On three-dimensional singular stress field at the front of a planar rigid inclusion (anticrack) in an orthorhombic mono-crystalline plate</title><source>SpringerLink Journals - AutoHoldings</source><creator>Chaudhuri, Reaz A.</creator><creatorcontrib>Chaudhuri, Reaz A.</creatorcontrib><description>A novel eigenfunction expansion technique, based in part on separation of the thickness-variable and partly on the Eshelby–Stroh type affine transformation, is developed to derive three-dimensional asymptotic stress field in the vicinity of the front of a semi-infinite through-thickness anticrack reinforcing an infinite orthorhombic single crystal plate, of finite thickness and subjected to far-field mode I/II loadings. Anticrack-face boundary conditions and those that are prescribed on the top and bottom (free or fixed) surfaces of the plate are exactly satisfied. The present investigation considers six through-anticrack systems reinforcing orthorhombic single crystal plates. Explicit expressions for the singular stresses in the vicinity of the front of a through-thickness anticrack reinforcing an orthorhombic plate, subjected to far-field mode I/II loadings, are presented. Finally, hitherto largely unavailable results, pertaining to the through-thickness variations of stress singularity coefficients corresponding to symmetric and skew-symmetric sinusoidal loads that also satisfy the boundary conditions on the top and bottom surfaces of an orthorhombic mono-crystalline plate under investigation, bridge a longstanding gap in the stress singularity/fracture mechanics literature.</description><identifier>ISSN: 0376-9429</identifier><identifier>EISSN: 1573-2673</identifier><identifier>DOI: 10.1007/s10704-012-9679-1</identifier><identifier>CODEN: IJFRAP</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Affine transformations ; Asymptotic properties ; Automotive Engineering ; Boundary conditions ; Characterization and Evaluation of Materials ; Chemistry and Materials Science ; Civil Engineering ; Classical Mechanics ; Crystal structure ; Crystallinity ; Eigenvectors ; Exact sciences and technology ; Fracture mechanics ; Fracture mechanics (crack, fatigue, damage...) ; Fundamental areas of phenomenology (including applications) ; Materials Science ; Mathematical analysis ; Mechanical Engineering ; Original Paper ; Physics ; Single crystals ; Singular stress fields ; Singularities ; Solid mechanics ; Static elasticity (thermoelasticity...) ; Stresses ; Structural and continuum mechanics ; Thickness ; Three dimensional</subject><ispartof>International journal of fracture, 2012-04, Vol.174 (2), p.103-126</ispartof><rights>Springer Science+Business Media B.V. 2012</rights><rights>2015 INIST-CNRS</rights><rights>International Journal of Fracture is a copyright of Springer, (2012). All Rights Reserved.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c412t-f8c103ff857d1f2c507b618e87e12a35a06b569f6b1cb77f7414bdb2cc5d44b23</citedby><cites>FETCH-LOGICAL-c412t-f8c103ff857d1f2c507b618e87e12a35a06b569f6b1cb77f7414bdb2cc5d44b23</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/s10704-012-9679-1$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10704-012-9679-1$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=25784963$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Chaudhuri, Reaz A.</creatorcontrib><title>On three-dimensional singular stress field at the front of a planar rigid inclusion (anticrack) in an orthorhombic mono-crystalline plate</title><title>International journal of fracture</title><addtitle>Int J Fract</addtitle><description>A novel eigenfunction expansion technique, based in part on separation of the thickness-variable and partly on the Eshelby–Stroh type affine transformation, is developed to derive three-dimensional asymptotic stress field in the vicinity of the front of a semi-infinite through-thickness anticrack reinforcing an infinite orthorhombic single crystal plate, of finite thickness and subjected to far-field mode I/II loadings. Anticrack-face boundary conditions and those that are prescribed on the top and bottom (free or fixed) surfaces of the plate are exactly satisfied. The present investigation considers six through-anticrack systems reinforcing orthorhombic single crystal plates. Explicit expressions for the singular stresses in the vicinity of the front of a through-thickness anticrack reinforcing an orthorhombic plate, subjected to far-field mode I/II loadings, are presented. Finally, hitherto largely unavailable results, pertaining to the through-thickness variations of stress singularity coefficients corresponding to symmetric and skew-symmetric sinusoidal loads that also satisfy the boundary conditions on the top and bottom surfaces of an orthorhombic mono-crystalline plate under investigation, bridge a longstanding gap in the stress singularity/fracture mechanics literature.</description><subject>Affine transformations</subject><subject>Asymptotic properties</subject><subject>Automotive Engineering</subject><subject>Boundary conditions</subject><subject>Characterization and Evaluation of Materials</subject><subject>Chemistry and Materials Science</subject><subject>Civil Engineering</subject><subject>Classical Mechanics</subject><subject>Crystal structure</subject><subject>Crystallinity</subject><subject>Eigenvectors</subject><subject>Exact sciences and technology</subject><subject>Fracture mechanics</subject><subject>Fracture mechanics (crack, fatigue, damage...)</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Materials Science</subject><subject>Mathematical analysis</subject><subject>Mechanical Engineering</subject><subject>Original Paper</subject><subject>Physics</subject><subject>Single crystals</subject><subject>Singular stress fields</subject><subject>Singularities</subject><subject>Solid mechanics</subject><subject>Static elasticity (thermoelasticity...)</subject><subject>Stresses</subject><subject>Structural and continuum mechanics</subject><subject>Thickness</subject><subject>Three dimensional</subject><issn>0376-9429</issn><issn>1573-2673</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNqFkU2LVSEYgA9R0G3qB7QTIpgWlq_n-LWMoZqBgdnUWjwevdfJozf1LOYn9K_zcoeCIFoJ-rwP6jMMr4G8B0LEhwpEkAkToFhxoTA8GXbAxIgpF-PTYUdGwbGaqHo-vKj1nhCihJx2w8-7hNqhOIeXsLpUQ04mohrSfoumoNqKqxX54OKCTOuoQ77k1FD2yKBjNKlTJezDgkKycTsJ0KVJLdhi7Pd3fReZhHJph1wOeZ2DRWtOGdvyUJuJMSR30jT3cnjmTazu1eN6MXz7_Onr1TW-vftyc_XxFtsJaMNeWiCj95KJBTy1jIiZg3RSOKBmZIbwmXHl-Qx2FsKLCaZ5mam1bJmmmY4Xw-XZeyz5x-Zq02uo1sX-FJe3qoELGKmamPo_SilIwbmSHX3zF3qft9L_smpKmZJUypF1Cs6ULbnW4rw-lrCa8qCB6FNHfe6oe0d96qihz7x9NJtqTfTFJBvq70HKekfFx87RM1f7Udq78ucG_5b_AqQOrjs</recordid><startdate>20120401</startdate><enddate>20120401</enddate><creator>Chaudhuri, Reaz A.</creator><general>Springer Netherlands</general><general>Springer</general><general>Springer Nature B.V</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>D1I</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>KB.</scope><scope>L6V</scope><scope>M7S</scope><scope>PDBOC</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</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>20120401</creationdate><title>On three-dimensional singular stress field at the front of a planar rigid inclusion (anticrack) in an orthorhombic mono-crystalline plate</title><author>Chaudhuri, Reaz A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c412t-f8c103ff857d1f2c507b618e87e12a35a06b569f6b1cb77f7414bdb2cc5d44b23</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Affine transformations</topic><topic>Asymptotic properties</topic><topic>Automotive Engineering</topic><topic>Boundary conditions</topic><topic>Characterization and Evaluation of Materials</topic><topic>Chemistry and Materials Science</topic><topic>Civil Engineering</topic><topic>Classical Mechanics</topic><topic>Crystal structure</topic><topic>Crystallinity</topic><topic>Eigenvectors</topic><topic>Exact sciences and technology</topic><topic>Fracture mechanics</topic><topic>Fracture mechanics (crack, fatigue, damage...)</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Materials Science</topic><topic>Mathematical analysis</topic><topic>Mechanical Engineering</topic><topic>Original Paper</topic><topic>Physics</topic><topic>Single crystals</topic><topic>Singular stress fields</topic><topic>Singularities</topic><topic>Solid mechanics</topic><topic>Static elasticity (thermoelasticity...)</topic><topic>Stresses</topic><topic>Structural and continuum mechanics</topic><topic>Thickness</topic><topic>Three dimensional</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Chaudhuri, Reaz A.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Materials Science Collection</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>Materials Science Database</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Materials Science 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>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 fracture</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Chaudhuri, Reaz A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On three-dimensional singular stress field at the front of a planar rigid inclusion (anticrack) in an orthorhombic mono-crystalline plate</atitle><jtitle>International journal of fracture</jtitle><stitle>Int J Fract</stitle><date>2012-04-01</date><risdate>2012</risdate><volume>174</volume><issue>2</issue><spage>103</spage><epage>126</epage><pages>103-126</pages><issn>0376-9429</issn><eissn>1573-2673</eissn><coden>IJFRAP</coden><abstract>A novel eigenfunction expansion technique, based in part on separation of the thickness-variable and partly on the Eshelby–Stroh type affine transformation, is developed to derive three-dimensional asymptotic stress field in the vicinity of the front of a semi-infinite through-thickness anticrack reinforcing an infinite orthorhombic single crystal plate, of finite thickness and subjected to far-field mode I/II loadings. Anticrack-face boundary conditions and those that are prescribed on the top and bottom (free or fixed) surfaces of the plate are exactly satisfied. The present investigation considers six through-anticrack systems reinforcing orthorhombic single crystal plates. Explicit expressions for the singular stresses in the vicinity of the front of a through-thickness anticrack reinforcing an orthorhombic plate, subjected to far-field mode I/II loadings, are presented. Finally, hitherto largely unavailable results, pertaining to the through-thickness variations of stress singularity coefficients corresponding to symmetric and skew-symmetric sinusoidal loads that also satisfy the boundary conditions on the top and bottom surfaces of an orthorhombic mono-crystalline plate under investigation, bridge a longstanding gap in the stress singularity/fracture mechanics literature.</abstract><cop>Dordrecht</cop><pub>Springer Netherlands</pub><doi>10.1007/s10704-012-9679-1</doi><tpages>24</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0376-9429 |
| ispartof | International journal of fracture, 2012-04, Vol.174 (2), p.103-126 |
| issn | 0376-9429 1573-2673 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_1671329459 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Affine transformations Asymptotic properties Automotive Engineering Boundary conditions Characterization and Evaluation of Materials Chemistry and Materials Science Civil Engineering Classical Mechanics Crystal structure Crystallinity Eigenvectors Exact sciences and technology Fracture mechanics Fracture mechanics (crack, fatigue, damage...) Fundamental areas of phenomenology (including applications) Materials Science Mathematical analysis Mechanical Engineering Original Paper Physics Single crystals Singular stress fields Singularities Solid mechanics Static elasticity (thermoelasticity...) Stresses Structural and continuum mechanics Thickness Three dimensional |
| title | On three-dimensional singular stress field at the front of a planar rigid inclusion (anticrack) in an orthorhombic mono-crystalline plate |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-05T00%3A54%3A02IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=On%20three-dimensional%20singular%20stress%20field%20at%20the%20front%20of%20a%20planar%20rigid%20inclusion%20(anticrack)%20in%20an%20orthorhombic%20mono-crystalline%20plate&rft.jtitle=International%20journal%20of%20fracture&rft.au=Chaudhuri,%20Reaz%20A.&rft.date=2012-04-01&rft.volume=174&rft.issue=2&rft.spage=103&rft.epage=126&rft.pages=103-126&rft.issn=0376-9429&rft.eissn=1573-2673&rft.coden=IJFRAP&rft_id=info:doi/10.1007/s10704-012-9679-1&rft_dat=%3Cproquest_cross%3E1671329459%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2259828835&rft_id=info:pmid/&rfr_iscdi=true |