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100   $a20120829d2012      uy             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aIntegrodifferential relations in linear elasticity$b[electronic resource] /$fby Georgy Viktorovich Kostin, Vasily V.Saurin
210   $aBerlin ;$aBoston $cDe Gruyter$dc2012
215   $a1 online resource (292 p.)
225 0 $aDe Gruyter studies in mathematical physics ;$v10
300   $aDescription based upon print version of record.
311   $a3-11-027030-7 
311   $a3-11-027101-X 
327   $t Frontmatter -- $tPreface -- $tContents -- $tChapter 1. Introduction -- $tChapter 2. Basic concepts of the linear theory of elasticity -- $tChapter 3. Conventional variational principles -- $tChapter 4. The method of integrodifferential relations -- $tChapter 5. Variational properties of the integrodifferential statements -- $tChapter 6. Advance finite element technique -- $tChapter 7. Semi-discretization and variational technique -- $tChapter 8. An asymptotic approach -- $tChapter 9. A projection approach -- $tChapter 10. 3D static beam modeling -- $tChapter 11. 3D beam vibrations -- $tAppendix A. Vectors and tensors -- $tAppendix B. Sobolev spaces -- $tBibliography -- $tIndex
330   $aDeformations of elastic bodies are encountered in many areas in science, engineering and technology. In the last decades, various numerical approaches using the finite element technique have been developed, but many are not adequate to address the full complexity.This work treats the elasticity of deformed bodies, including the resulting interior stresses and displacements. Other than comparable books, this work also takes into account that some of constitutive relations can be considered in a weak form. To discuss this problem properly, the method of integrodifferential relations is used, and an advanced numerical technique for stress-strain analysis is presented and evaluated using various discretization techniques. The methods presented in this book are of importance for almost all elasticity problems in materials science and mechanical engineering.   
410  3$aDe Gruyter Studies in Mathematical Physics
606   $aElasticity
606   $aPlasticity
606   $aIntegro-differential equations
610   $aElasticity.
610   $aIntegrodifferential Relations.
610   $aLinear Theory.
610   $aMaterials Science.
615  0$aElasticity.
615  0$aPlasticity.
615  0$aIntegro-differential equations.
676   $a531.382
686   $aSK 620$2rvk
700   $aKostin$b G. V$01562392
701   $aSaurin$b V. V$01562393
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910779318203321
996   $aIntegrodifferential relations in linear elasticity$93829954
997   $aUNINA