LEADER 03912nam 22006135 450 001 9910254218803321 005 20200705023534.0 010 $a981-10-0645-8 024 7 $a10.1007/978-981-10-0645-6 035 $a(CKB)3710000000718386 035 $a(EBL)4538100 035 $a(DE-He213)978-981-10-0645-6 035 $a(MiAaPQ)EBC4538100 035 $a(PPN)194379787 035 $a(EXLCZ)993710000000718386 100 $a20160602d2016 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aRecent Developments in Anisotropic Heterogeneous Shell Theory $eApplications of Refined and Three-dimensional Theory?Volume IIA /$fby Alexander Ya. Grigorenko, Wolfgang H. Müller, Yaroslav M. Grigorenko, Georgii G. Vlaikov 205 $a1st ed. 2016. 210 1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2016. 215 $a1 online resource (50 p.) 225 1 $aSpringerBriefs in Continuum Mechanics,$x2625-1329 300 $aDescription based upon print version of record. 311 $a981-10-0644-X 320 $aIncludes bibliographical references. 327 $aSolutions of static problems based on the refined model -- Solutions of dynamic problems based on the refined model -- Some solutions stationary problems based on 3-D theory -- Conclusions. 330 $aThis brief book presents solutions of stress-strain problems for a wide class of anisotropic inhomogeneous shells obtained by the refined model. Studying these problems results in severe computational difficulties due to partial differential equations with variable coefficients resulting from the constitutive relations of the original model. To solve this problem the book uses spline-collocation and discrete-orthogonalization methods. It analyses the influence of geometrical and mechanical parameters, of various kinds of boundary conditions, and of the loading conditions on the distributions of stress and displacement fields in shallow, spherical, conical, and noncircular cylindrical shells. The dependence of the stress-strain pattern on shell thickness variations is studied. The authors solve the problem also for the case of the thickness varying in two directions. They study how a variation in shell thickness influences the stress-strain state and consider noncircular cylindrical shells with elliptical and corrugated sections are considered. The results obtained during numerous calculations support the efficiency of the discrete-orthogonalization approach proposed in the monograph for solving static problems for anisotropic inhomogeneous shells when using the refined model. 410 0$aSpringerBriefs in Continuum Mechanics,$x2625-1329 606 $aMechanics 606 $aMechanics, Applied 606 $aMathematical models 606 $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010 606 $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068 615 0$aMechanics. 615 0$aMechanics, Applied. 615 0$aMathematical models. 615 14$aSolid Mechanics. 615 24$aMathematical Modeling and Industrial Mathematics. 676 $a624.17762 700 $aGrigorenko$b Alexander Ya$4aut$4http://id.loc.gov/vocabulary/relators/aut$0927860 702 $aMüller$b Wolfgang H$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aGrigorenko$b Yaroslav M$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aVlaikov$b Georgii G$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254218803321 996 $aRecent Developments in Anisotropic Heterogeneous Shell Theory$92512401 997 $aUNINA