On Budaev and Bogy's approach to diffraction by the 2D traction free elastic wedge
Several semianalytical approaches are now available for describing diffraction of a plane wave by the 2D (two dimensional) traction free isotropic elastic wedge. In this paper we follow Budaev and Bogy who reformulated the original diffraction problem as a singular integral one. This comprises two a...
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| creator | Kamotski, V Fradkin, L. Ju Samokish, B. A Borovikov, V. A Babich, V. M |
| description | Several semianalytical approaches are now available for describing
diffraction of a plane wave by the 2D (two dimensional) traction free isotropic
elastic wedge. In this paper we follow Budaev and Bogy who reformulated the
original diffraction problem as a singular integral one. This comprises two
algebraic and two singular integral equations. Each integral equation involves
two unknowns, a function and a constant. We discuss the underlying integral
operators and develop a new semianalytical scheme for solving the integral
equations. We investigate the properties of the obtained solution and argue
that it is the solution of the original diffraction problem. We describe a
comprehensive code verification and validation programme. |
| doi_str_mv | 10.48550/arxiv.math-ph/0604011 |
| format | Article |
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diffraction of a plane wave by the 2D (two dimensional) traction free isotropic
elastic wedge. In this paper we follow Budaev and Bogy who reformulated the
original diffraction problem as a singular integral one. This comprises two
algebraic and two singular integral equations. Each integral equation involves
two unknowns, a function and a constant. We discuss the underlying integral
operators and develop a new semianalytical scheme for solving the integral
equations. We investigate the properties of the obtained solution and argue
that it is the solution of the original diffraction problem. We describe a
comprehensive code verification and validation programme.</description><identifier>DOI: 10.48550/arxiv.math-ph/0604011</identifier><language>eng</language><subject>Mathematics - Mathematical Physics ; Physics - Mathematical Physics</subject><creationdate>2006-04</creationdate><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/math-ph/0604011$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.math-ph/0604011$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Kamotski, V</creatorcontrib><creatorcontrib>Fradkin, L. Ju</creatorcontrib><creatorcontrib>Samokish, B. A</creatorcontrib><creatorcontrib>Borovikov, V. A</creatorcontrib><creatorcontrib>Babich, V. M</creatorcontrib><title>On Budaev and Bogy's approach to diffraction by the 2D traction free elastic wedge</title><description>Several semianalytical approaches are now available for describing
diffraction of a plane wave by the 2D (two dimensional) traction free isotropic
elastic wedge. In this paper we follow Budaev and Bogy who reformulated the
original diffraction problem as a singular integral one. This comprises two
algebraic and two singular integral equations. Each integral equation involves
two unknowns, a function and a constant. We discuss the underlying integral
operators and develop a new semianalytical scheme for solving the integral
equations. We investigate the properties of the obtained solution and argue
that it is the solution of the original diffraction problem. We describe a
comprehensive code verification and validation programme.</description><subject>Mathematics - Mathematical Physics</subject><subject>Physics - Mathematical Physics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2006</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNo1z01Lw0AUheHZuJDqX5C7EFylne8kS1s_oVCQ7sPtzJ1OoE3CZKzm34varg68iwMPY3eCz3VlDF9g-m5P8yPmWAxxwS3XXIhr9rHpYPnpkU6AnYdlv58eRsBhSD26CLkH34aQ0OW272A3QY4E8gnyJYVEBHTAMbcOvsjv6YZdBTyMdHveGdu-PG9Xb8V68_q-elwXWJaiUJJXVhvBS03oSWqydV15I0tSNVZaVWidq1FZ5EE5NFbIID1Xyu1qbrWasfv_2z9ZM6T2iGlqfoXNEJuzUP0AkpxNIA</recordid><startdate>20060406</startdate><enddate>20060406</enddate><creator>Kamotski, V</creator><creator>Fradkin, L. Ju</creator><creator>Samokish, B. A</creator><creator>Borovikov, V. A</creator><creator>Babich, V. M</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20060406</creationdate><title>On Budaev and Bogy's approach to diffraction by the 2D traction free elastic wedge</title><author>Kamotski, V ; Fradkin, L. Ju ; Samokish, B. A ; Borovikov, V. A ; Babich, V. M</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a771-32086451074eade24e6998d527e39a8438a6cc9a36a0f3ca5612f2d033cb90643</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2006</creationdate><topic>Mathematics - Mathematical Physics</topic><topic>Physics - Mathematical Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Kamotski, V</creatorcontrib><creatorcontrib>Fradkin, L. Ju</creatorcontrib><creatorcontrib>Samokish, B. A</creatorcontrib><creatorcontrib>Borovikov, V. A</creatorcontrib><creatorcontrib>Babich, V. M</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Kamotski, V</au><au>Fradkin, L. Ju</au><au>Samokish, B. A</au><au>Borovikov, V. A</au><au>Babich, V. M</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On Budaev and Bogy's approach to diffraction by the 2D traction free elastic wedge</atitle><date>2006-04-06</date><risdate>2006</risdate><abstract>Several semianalytical approaches are now available for describing
diffraction of a plane wave by the 2D (two dimensional) traction free isotropic
elastic wedge. In this paper we follow Budaev and Bogy who reformulated the
original diffraction problem as a singular integral one. This comprises two
algebraic and two singular integral equations. Each integral equation involves
two unknowns, a function and a constant. We discuss the underlying integral
operators and develop a new semianalytical scheme for solving the integral
equations. We investigate the properties of the obtained solution and argue
that it is the solution of the original diffraction problem. We describe a
comprehensive code verification and validation programme.</abstract><doi>10.48550/arxiv.math-ph/0604011</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Mathematical Physics Physics - Mathematical Physics |
| title | On Budaev and Bogy's approach to diffraction by the 2D traction free elastic wedge |
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