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020 _a9783319061825
_9978-3-319-06182-5
024 7 _a10.1007/978-3-319-06182-5
_2doi
035 _ato000543186
040 _aSpringer
_cSpringer
_dRU-ToGU
050 4 _aTA405-409.3
050 4 _aQA808.2
072 7 _aTG
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aTEC021000
_2bisacsh
082 0 4 _a620.1
_223
100 1 _aChinesta, Francisco.
_eauthor.
_9315647
245 1 0 _aPGD-Based Modeling of Materials, Structures and Processes
_helectronic resource
_cby Francisco Chinesta, Elías Cueto.
260 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2014.
300 _aXVII, 219 p. 84 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aESAFORM Bookseries on Material Forming,
_x2198-9907
505 0 _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.
520 _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.
650 0 _aengineering.
_9224332
650 0 _aMaterials.
_9128387
650 0 _aStructural control (Engineering).
_9294369
650 1 4 _aEngineering.
_9224332
650 2 4 _aContinuum Mechanics and Mechanics of Materials.
_9303579
650 2 4 _aMathematical Modeling and Industrial Mathematics.
_9303944
650 2 4 _aOperating Procedures, Materials Treatment.
_9294372
650 2 4 _aStructural Materials.
_9307807
700 1 _aCueto, Elías.
_eauthor.
_9315648
710 2 _aSpringerLink (Online service)
_9143950
773 0 _tSpringer eBooks
830 0 _aESAFORM Bookseries on Material Forming,
_9449827
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-06182-5
912 _aZDB-2-ENG
999 _c400969