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The body force method is used to formulate the problems as a system of singular integral equations with Cauchy-type singularities, where unknowns are the densities of body forces distributed in the longitudinal direction of an infinite body. In order to satisfy the boundary conditions along elliptical boundaries, four kinds of fundamental density functions are newly introduced. Then the body force densities are approximated by a linear combination of those fundamental density functions and polynomials. The calculations are carried out for several arrangements of elliptical holes, and it is found that the present method yields rapidly converging numerical results. The body force densities and stress distributions along the boundaries are shown in figures to demonstrate the accuracy of the present solutions."}],"abstractLicenseFlag":"disallow"}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1030003658717203456","@type":"Researcher","personIdentifier":[{"@type":"KAKEN_RESEARCHERS","@value":"40172796"},{"@type":"NRID","@value":"1000040172796"},{"@type":"ORCID","@value":"0000-0002-6067-3122"},{"@type":"NRID","@value":"9000006185912"},{"@type":"NRID","@value":"9000020572348"},{"@type":"NRID","@value":"9000413373000"},{"@type":"NRID","@value":"9000412335322"},{"@type":"NRID","@value":"9000397970602"},{"@type":"NRID","@value":"9000345324855"},{"@type":"NRID","@value":"9000403586673"},{"@type":"NRID","@value":"9000403586018"},{"@type":"NRID","@value":"9000367874748"},{"@type":"NRID","@value":"9000312719565"},{"@type":"NRID","@value":"9000413572363"},{"@type":"NRID","@value":"9000242365501"},{"@type":"NRID","@value":"9000021444791"},{"@type":"NRID","@value":"9000021762887"},{"@type":"NRID","@value":"9000410922031"},{"@type":"NRID","@value":"9000389450149"},{"@type":"NRID","@value":"9000370257592"},{"@type":"NRID","@value":"9000398648034"},{"@type":"NRID","@value":"9000305604747"},{"@type":"NRID","@value":"9000386285774"},{"@type":"NRID","@value":"9000415395062"},{"@type":"NRID","@value":"9000412107789"},{"@type":"NRID","@value":"9000413373002"},{"@type":"NRID","@value":"9000412335340"},{"@type":"NRID","@value":"9000410148674"},{"@type":"NRID","@value":"9000311503096"},{"@type":"NRID","@value":"9000402256738"},{"@type":"NRID","@value":"9000411089910"},{"@type":"NRID","@value":"9000265536422"},{"@type":"NRID","@value":"9000411205722"},{"@type":"NRID","@value":"9000383202846"},{"@type":"NRID","@value":"9000410022458"},{"@type":"NRID","@value":"9000403586055"},{"@type":"NRID","@value":"9000398553185"},{"@type":"NRID","@value":"9000409012855"},{"@type":"NRID","@value":"9000412360741"},{"@type":"NRID","@value":"9000319556702"},{"@type":"NRID","@value":"9000019962500"},{"@type":"NRID","@value":"9000021294631"},{"@type":"NRID","@value":"9000410478694"},{"@type":"NRID","@value":"9000403586419"},{"@type":"NRID","@value":"9000402585296"},{"@type":"NRID","@value":"9000404664450"},{"@type":"NRID","@value":"9000411276368"},{"@type":"NRID","@value":"9000387921006"},{"@type":"NRID","@value":"9000403586061"},{"@type":"NRID","@value":"9000398553193"},{"@type":"NRID","@value":"9000412151353"},{"@type":"NRID","@value":"9000333926442"},{"@type":"NRID","@value":"9000021663435"},{"@type":"NRID","@value":"9000409596028"},{"@type":"NRID","@value":"9000403586388"},{"@type":"NRID","@value":"9000403586038"},{"@type":"NRID","@value":"9000403586067"},{"@type":"NRID","@value":"9000398648045"},{"@type":"NRID","@value":"9000363211973"},{"@type":"NRID","@value":"9000410502849"},{"@type":"NRID","@value":"9000313204787"},{"@type":"NRID","@value":"9000021353832"},{"@type":"NRID","@value":"9000404335503"},{"@type":"NRID","@value":"9000400195053"},{"@type":"NRID","@value":"9000389450162"},{"@type":"NRID","@value":"9000409765828"},{"@type":"NRID","@value":"9000406374981"},{"@type":"NRID","@value":"9000412107884"},{"@type":"NRID","@value":"9000336039305"},{"@type":"NRID","@value":"9000020095658"},{"@type":"NRID","@value":"9000021323889"},{"@type":"NRID","@value":"9000021629849"},{"@type":"NRID","@value":"9000409858040"},{"@type":"NRID","@value":"9000403586671"},{"@type":"NRID","@value":"9000403586032"},{"@type":"NRID","@value":"9000398625137"},{"@type":"NRID","@value":"9000412565090"},{"@type":"NRID","@value":"9000410014095"},{"@type":"NRID","@value":"9000399803966"},{"@type":"NRID","@value":"9000413945757"},{"@type":"NRID","@value":"9000316698856"},{"@type":"NRID","@value":"9000020130770"},{"@type":"NRID","@value":"9000399805820"},{"@type":"NRID","@value":"9000399771735"},{"@type":"NRID","@value":"9000403586027"},{"@type":"NRID","@value":"9000403586087"},{"@type":"NRID","@value":"9000303987320"},{"@type":"NRID","@value":"9000017038650"},{"@type":"NRID","@value":"9000002382361"},{"@type":"NRID","@value":"9000023750768"},{"@type":"NRID","@value":"9000332734881"},{"@type":"NRID","@value":"9000021688082"},{"@type":"NRID","@value":"9000403586538"},{"@type":"NRID","@value":"9000403586540"},{"@type":"NRID","@value":"9000413945751"},{"@type":"NRID","@value":"9000021263464"},{"@type":"NRID","@value":"9000411489795"},{"@type":"NRID","@value":"9000369738472"},{"@type":"NRID","@value":"9000399167762"},{"@type":"NRID","@value":"9000389450164"},{"@type":"NRID","@value":"9000403586186"},{"@type":"NRID","@value":"9000345301510"},{"@type":"NRID","@value":"9000412587694"},{"@type":"NRID","@value":"9000023801155"},{"@type":"NRID","@value":"9000023750779"},{"@type":"NRID","@value":"9000414482477"},{"@type":"NRID","@value":"9000412675430"},{"@type":"NRID","@value":"9000402817135"},{"@type":"NRID","@value":"9000402292750"},{"@type":"NRID","@value":"9000410996097"},{"@type":"NRID","@value":"9000403586431"},{"@type":"NRID","@value":"9000317149769"},{"@type":"NRID","@value":"9000324638660"},{"@type":"NRID","@value":"9000412182873"},{"@type":"NRID","@value":"9000021675246"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NaoAki"},{"@language":"ja","@value":"野田 尚昭"}]},{"@id":"https://cir.nii.ac.jp/crid/1410282679423801985","@type":"Researcher","personIdentifier":[{"@type":"NRID","@value":"9000003715263"}],"foaf:name":[{"@language":"en","@value":"ARITA Takuji"},{"@language":"ja","@value":"有田 卓司"}]},{"@id":"https://cir.nii.ac.jp/crid/1410001204419160705","@type":"Researcher","personIdentifier":[{"@type":"NRID","@value":"9000002351640"},{"@type":"NRID","@value":"9000020525587"},{"@type":"NRID","@value":"9000020572352"},{"@type":"NRID","@value":"9000020572916"},{"@type":"NRID","@value":"9000020552711"},{"@type":"NRID","@value":"9000002636997"},{"@type":"NRID","@value":"9000020573908"},{"@type":"NRID","@value":"9000020427046"},{"@type":"NRID","@value":"9000004563884"},{"@type":"NRID","@value":"9000254141489"},{"@type":"RESEARCHMAP","@value":"https://researchmap.jp/read0047031"}],"foaf:name":[{"@language":"en","@value":"MATSUO Tadatoshi"},{"@language":"ja","@value":"松尾 忠利"}]}],"publication":{"publicationIdentifier":[{"@type":"PISSN","@value":"03875008"},{"@type":"EISSN","@value":"18848338"},{"@type":"NDL_BIB_ID","@value":"000000031918"},{"@type":"ISSN","@value":"03875008"},{"@type":"LISSN","@value":"03875008"},{"@type":"NCID","@value":"AN0018742X"}],"prism:publicationName":[{"@language":"en","@value":"TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A"},{"@language":"ja","@value":"日本機械学会論文集Ａ編"},{"@language":"ja","@value":"日本機械学会論文集 A編"},{"@language":"en","@value":"Trans.JSME, Ser.A"},{"@language":"en","@value":"Trans.JSME Ser.A"},{"@language":"en","@value":"Transactions of the Japan Society of Mechanical Engeneers,Series A"},{"@language":"en","@value":"Trans.JSME A"},{"@language":"en","@value":"Trans.JSME, A"},{"@language":"en","@value":"Trans.JSME(A)"},{"@language":"ja","@value":"日機論（Ａ編）"},{"@language":"ja","@value":"日機論Ａ編"},{"@language":"ja","@value":"機論（Ａ）"},{"@language":"ja","@value":"機論Ａ編"},{"@language":"ja","@value":"日本機械学会論文集（Ａ編）"},{"@language":"ja","@value":"日本機械学会論文集Ａ編"},{"@language":"ja","@value":"日機論（Ａ）"},{"@language":"ja","@value":"機論（Ａ編）"},{"@language":"ja","@value":"日本機械学会論文集（Ａ）"},{"@language":"en","@value":"JSMET"},{"@language":"en","@value":"Transactions of the Japan Society of Mechanical Engineers. A"},{"@language":"ja","@value":"機論Ａ"},{"@language":"ja","@value":"日本機械学会論文集　Ａ編"},{"@language":"en","@value":"Transactions of the Japan Society of Mechanical Engineers Series A"}],"dc:publisher":[{"@language":"en","@value":"The Japan Society of Mechanical Engineers"},{"@language":"ja","@value":"一般社団法人 日本機械学会"}],"prism:publicationDate":"1997","prism:volume":"63","prism:number":"614","prism:startingPage":"2155","prism:endingPage":"2158"},"reviewed":"false","url":[{"@id":"https://kyutech.repo.nii.ac.jp/records/1000"},{"@id":"http://id.ndl.go.jp/bib/4322298"},{"@id":"https://ndlsearch.ndl.go.jp/books/R000000004-I4322298"},{"@id":"http://www.jstage.jst.go.jp/article/kikaia1979/63/614/63_614_2155/_pdf"},{"@id":"http://hdl.handle.net/10228/1431"}],"availableAt":"1997","foaf:topic":[{"@id":"https://cir.nii.ac.jp/all?q=Elasticity","dc:title":"Elasticity"},{"@id":"https://cir.nii.ac.jp/all?q=Stress%20Concentration","dc:title":"Stress Concentration"},{"@id":"https://cir.nii.ac.jp/all?q=Boby%20Force%20Method","dc:title":"Boby Force Method"},{"@id":"https://cir.nii.ac.jp/all?q=Longitudinal%20Shear","dc:title":"Longitudinal Shear"},{"@id":"https://cir.nii.ac.jp/all?q=Interaction","dc:title":"Interaction"},{"@id":"https://cir.nii.ac.jp/all?q=Numerical%20Analysis","dc:title":"Numerical Analysis"},{"@id":"https://cir.nii.ac.jp/all?q=Singular%20Integral%20Equation","dc:title":"Singular Integral Equation"}],"dcterms:subject":[{"subjectScheme":"Other","notation":[{"@value":"Elasticity"}]},{"subjectScheme":"Other","notation":[{"@value":"Stress Concentration"}]},{"subjectScheme":"Other","notation":[{"@value":"Boby Force Method"}]},{"subjectScheme":"Other","notation":[{"@value":"Longitudinal Shear"}]},{"subjectScheme":"Other","notation":[{"@value":"Interaction"}]},{"subjectScheme":"Other","notation":[{"@value":"Numerical Analysis"}]},{"subjectScheme":"Other","notation":[{"@value":"Singular Integral Equation"}]}],"relatedProduct":[{"@id":"https://cir.nii.ac.jp/crid/1390001204417170688","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["cites"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Numerical Solution of Singular Integral Equations of the Body Force Method in Notch Problems. 2nd Report. Analysis of Interaction Problems of Notches under General Loading Conditions."},{"@value":"応力集中問題における体積力法の特異積分方程式の数値解析法　第２報　切欠きの干渉問題の一般的解析法"},{"@language":"ja-Kana","@value":"オウリョク シュウチュウ モンダイ ニ オケル タイセキリョクホウ ノ トクイ"}]},{"@id":"https://cir.nii.ac.jp/crid/1390001204419160704","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["cites"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Numerical Solution of Singular Integral Equations of the Body Force Method in Notch Problems. 1st Report, Basic Theory and Discussion on the Stress along the Boundary."},{"@value":"応力集中問題における体積力法の特異積分方程式の数値解析法　第１報，基礎の理論と境界条件の満足度の検討"},{"@language":"ja-Kana","@value":"オウリョク シュウチュウ モンダイ ニ オケル タイセキリョクホウ ノ トクイ"}]},{"@id":"https://cir.nii.ac.jp/crid/1390001204447121792","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["cites"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Numerical Solution of Singular Integral Equations of the Body Force Method in Notch Problems. 3rd Report. Application to 3D Problems."},{"@value":"応力集中問題における体積力法の特異積分方程式の数値解析法　第３報　三次元問題への応用"},{"@language":"ja-Kana","@value":"オウリョク シュウチュウ モンダイ ニ オケル タイセキリョクホウ ノ トクイ"}]},{"@id":"https://cir.nii.ac.jp/crid/1390001205159811968","@type":"Article","relationType":["cites"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Stress Concentration Due to an Elliptic Hole or Crack Existing Near a Notch under Tension or Longitudinal Shear"},{"@value":"切欠きに先行するだ円孔またはき裂による応力集中 : 引張りおよび縦せん断"},{"@language":"ja-Kana","@value":"キリカキ ニ センコウ スル ダエンコウ マタハ キレツ ニ ヨル オウリョク シュウチュウ ヒッパリ オヨビ タテ センダン"}]},{"@id":"https://cir.nii.ac.jp/crid/1390282679422971776","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["cites"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Interaction Effect between Ellipsoidal Cavities in an Infinite Body under Uniaxial Tension."},{"@value":"回転だ円体状空かの非軸対称一軸引張りにおける干渉効果"},{"@language":"ja-Kana","@value":"カイテン ダエンタイジョウ クウカ ノ ヒ ジク タイショウ 1ジク ヒッパリ"}]},{"@id":"https://cir.nii.ac.jp/crid/1390282679425239680","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isCitedBy"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Analysis of Interaction between Arbitrarily Distributed Elliptical Inclusions under Longitudinal Shear Loading."},{"@value":"面外せん断問題における任意分布だ円形介在物の干渉効果の解析"},{"@language":"ja-Kana","@value":"メンガイ センダン モンダイ ニ オケル ニンイ ブンプ ダエンケイ カイザイ"}]},{"@id":"https://cir.nii.ac.jp/crid/1390282679425257728","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["cites"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Analysis of Interaction between Elliptical Inclusions in a Shear Stress Field. 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