LEADER 05251nam 22007215 450 001 9910299717403321 005 20251202121309.0 010 $a3-319-06182-8 024 7 $a10.1007/978-3-319-06182-5 035 $a(CKB)3710000000105687 035 $a(EBL)1731105 035 $a(OCoLC)884583995 035 $a(SSID)ssj0001205017 035 $a(PQKBManifestationID)11698810 035 $a(PQKBTitleCode)TC0001205017 035 $a(PQKBWorkID)11180199 035 $a(PQKB)10659906 035 $a(MiAaPQ)EBC1731105 035 $a(DE-He213)978-3-319-06182-5 035 $a(PPN)178320250 035 $a(EXLCZ)993710000000105687 100 $a20140423d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aPGD-Based Modeling of Materials, Structures and Processes /$fby Francisco Chinesta, Elías Cueto 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (226 p.) 225 1 $aESAFORM Bookseries on Material Forming,$x2198-9915 300 $aDescription based upon print version of record. 311 08$a3-319-06181-X 320 $aIncludes bibliographical references and index. 327 $a1 Introduction -- 1.1 Recurrent issues in numerical simulation -- 1.2 Model reduction: information versus relevant information -- 1.3 PGD at a glance -- 1.4 Revisiting the simulation challenges -- 1.5 A brief state of the art on PGD-based model order reduction -- 2 Multiscale modelling -- 2.1 From quantum mechanics to kinetic theory -- 2.2 Advanced solvers for multi-dimensional models -- 2.3 Numerical examples -- 2.4 Conclusions -- 3 Homogenization -- 3.1 Homogenization of linear heterogenous models -- 3.2 Non-concurrent nonlinear homogenization -- 3.3 Numerical examples -- 3.4 Conclusions -- 4 Coupled models -- 4.1 Efficient coupling of global and local models -- 4.2 Fully globalized local models -- 4.3 Heterogeneous time integration -- 4.4 Numerical example -- 4.5 Discussion -- 5 Parametric models in evolving domains -- 5.1 Evolving domains issues -- 5.2 PGD in evolving domains -- 5.3 Separated representation constructor -- 5.4 Numerical test -- 5.5 Towards parametric modeling in evolving domains -- 5.6 Numerical test involving parametric modeling -- 5.7 Conclusions -- 6 Space separation -- 6.1 In-plane/out-of-plane separated representation -- 6.2 Laminates -- 6.3 Conclusions -- 7 Process optimization -- 7.1 Parametric boundary conditions -- 7.2 Parametric modeling of pultrusion -- 7.3 Optimization strategy -- 7.4 Conclusion 8 Shape optimization -- 8.1 Introduction -- 8.2 Geometrical parameters as extra-coordinates -- 8.3 Numerical results -- 8.4 Conclusions -- 9 DDDAS -- 9.1 Introduction to DDDAS -- 9.2 PGD solution of a flowing process -- 9.3 Simulating a breakdown scenario -- 9.4 Post-processing in a smartphone -- 9.5 Conclusions -- 10 Inverse analysis -- 10.1 PGD based parameter identification -- 10.2 PGD based Cauchy?s problem -- 10.3 Parameter identification examples -- 10.4 Cauchy?s problem example -- 10.5 Conclusions -- 11 Tape placement -- 11.1 Parametric modeling -- 11.2 ATP thermal model -- 11.3 ATP mechanical modeling -- 11.4 Numerical results -- 11.5 Conclusions -- 12 Augmented learning -- 12.1 Towards augmented learning -- 12.2 Examples of augmented learning -- 12.3 Conclusions -- References -- Index. 330 $aThis book focuses on the development of a new simulation paradigm allowing for the solution of models that up to now have never been resolved and which result in spectacular CPU time savings (in the order of millions) that, combined with supercomputing, could revolutionize future ICT (information and communication technologies) at the heart of science and technology. The authors have recently proposed a new paradigm for simulation-based engineering sciences called Proper Generalized Decomposition, PGD, which has proved a tremendous potential in many aspects of forming process simulation. In this book a review of the basics of the technique is made, together with different examples of application. 410 0$aESAFORM Bookseries on Material Forming,$x2198-9915 606 $aMechanics, Applied 606 $aSolids 606 $aMathematical models 606 $aManufactures 606 $aBuilding materials 606 $aSolid Mechanics 606 $aMathematical Modeling and Industrial Mathematics 606 $aMachines, Tools, Processes 606 $aStructural Materials 615 0$aMechanics, Applied. 615 0$aSolids. 615 0$aMathematical models. 615 0$aManufactures. 615 0$aBuilding materials. 615 14$aSolid Mechanics. 615 24$aMathematical Modeling and Industrial Mathematics. 615 24$aMachines, Tools, Processes. 615 24$aStructural Materials. 676 $a003.3 700 $aChinesta$b Francisco$4aut$4http://id.loc.gov/vocabulary/relators/aut$0720584 702 $aCueto$b Elías$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910299717403321 996 $aPGD-Based Modeling of Materials, Structures and Processes$91979676 997 $aUNINA