PGD-Based Modeling of Materials, Structures and Processes

This 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 an...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Chinesta, Francisco (Autor), Cueto, Elías (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:ESAFORM Bookseries on Material Forming,
Temas:
Mechanics, Applied.
Solids.
Mathematical models.
Manufactures.
Building materials.
Solid Mechanics.
Mathematical Modeling and Industrial Mathematics.
Machines, Tools, Processes.
Structural Materials.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 1 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.

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