LEADER 04603nam 22006375 450 001 9910299888203321 005 20230810192417.0 010 $a3-319-65786-0 024 7 $a10.1007/978-3-319-65786-8 035 $a(CKB)4100000001040460 035 $a(DE-He213)978-3-319-65786-8 035 $a(MiAaPQ)EBC5143346 035 $z(PPN)258859903 035 $a(PPN)221249036 035 $a(EXLCZ)994100000001040460 100 $a20171109d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAsymptotical Mechanics of Composites $eModelling Composites without FEM /$fby Igor V. Andrianov, Jan Awrejcewicz, Vladyslav V. Danishevskyy 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (XI, 329 p. 139 illus., 7 illus. in color.) 225 1 $aAdvanced Structured Materials,$x1869-8441 ;$v77 311 $a3-319-65785-2 320 $aIncludes bibliographical references at the end of each chapters. 327 $a1 contains a short literature survey and a description of aims of the book and used approaches.- 2 presents a short tutorial, where the employed physical theories, the popular methods of theory of composites and certain mathematical approaches are described.- 3 Devoted to the transport properties of fiber and particle-reinforced composites. Besides of detection of their effective properties, local fields on the micro-level and an influence of the non-ideal contact between the matrix and inclusions are investigated -- 4 Edge effects are also studied.- 5. Besides of detection of the effective properties, the edge effects in fiber composite materials are investigated.- 6 presents the problems aimed at the transition of the load from the fiber to the matrix for elastic and viscoelastic composites, various types of fiber composite fracture, and the buckling phenomena of fibers in fiber-reinforced composites.- 7 is devoted to problems of perforated membranes, plates and shells -- 8 Nonlinear elastic problems are analyzed. 330 $aIn this book the authors show that it is possible to construct efficient computationally oriented models of multi-parameter complex systems by using asymptotic methods, which can, owing to their simplicity, be directly used for controlling processes arising in connection with composite material systems.  The book focuses on this asymptotic-modeling-based approach because it allows us to define the most important out of numerous parameters describing the system, or, in other words, the asymptotic methods allow us to estimate the sensitivity of the system parameters.  Further, the book addresses the construction of nonlocal and higher-order homogenized models. Local fields on the micro-level and the influence of so-called non-ideal contact between the matrix and inclusions are modeled and investigated. The book then studies composites with non-regular structure and cluster type composite conductivity, and analyzes edge effects in fiber composite mater ials. Transition of load from a fiber to a matrix for elastic and viscoelastic composites, various types of fiber composite fractures, and buckling of fibers in fiber-reinforced composites is also investigated. Last but not least, the book includes studies on perforated membranes, plates, and shells, as well as the asymptotic modeling of imperfect nonlinear interfaces. 410 0$aAdvanced Structured Materials,$x1869-8441 ;$v77 606 $aMechanics, Applied 606 $aSolids 606 $aMaterials$xAnalysis 606 $aApproximation theory 606 $aSolid Mechanics 606 $aCharacterization and Analytical Technique 606 $aApproximations and Expansions 615 0$aMechanics, Applied. 615 0$aSolids. 615 0$aMaterials$xAnalysis. 615 0$aApproximation theory. 615 14$aSolid Mechanics. 615 24$aCharacterization and Analytical Technique. 615 24$aApproximations and Expansions. 676 $a620.11892 700 $aAndrianov$b Igor V$4aut$4http://id.loc.gov/vocabulary/relators/aut$0726373 702 $aAwrejcewicz$b Jan$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aDanishevskyy$b Vladyslav V$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299888203321 996 $aAsymptotical Mechanics of Composites$92501305 997 $aUNINA