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Title Multi-scale simulation of composite materials : results from the Project MuSiKo / editors, Stefan Diebels and Sergej Rjasanow.

Published Berlin, Germany : Springer, [2019]
©2019

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Location Call No. Status
 UniM INTERNET resource    AVAILABLE
Physical description 1 online resource.
Series Mathematical engineering
Mathematical engineering.
Springer Engineering eBooks 2019 English+International
Bibliography Includes bibliographical references and index.
Contents Intro; Preface; Contents; 1 Multi-Scale Methods in Simulation-A Path to a Better Understanding of the Behaviour of Structures; 1.1 State of the Art-What We Can Do Today; 1.2 Requirements from the Applications-New Materials Need New Methodologies; 1.2.1 Orientation of Fibres; 1.2.2 One Approach-The Master SN Curve Approach; 1.2.3 Local and Global Stiffness Reduction; 1.3 Open Tools-Necessary for Including New Methodologies; 1.3.1 Manufacturing Influences; 1.3.2 New Methodologies; 1.4 On the Path with MuSiKo; 1.5 Outlook-Virtual Testing and Material Design; References
2 Indicators for the Adaptive Choice of Multi-Scale Solvers Based on Configurational Mechanics2.1 Introduction; 2.2 Basics of Configurational Mechanics; 2.3 Realisation of Micro-Macro Transition; 2.4 Numerical Evaluation of Developed Indicators; 2.5 Scalability; References; 3 Modelling of Geometrical Microstructures and Mechanical Behaviour of Constituents; 3.1 Analysis of Fibre Orientation for Glass Fibre Reinforced Polymers Based on µCT Scans; 3.1.1 Sample Preparation and Analysis of Fibre Direction; 3.1.2 Results; 3.2 Microstructure Generation
3.3 Identification of Material Parameters for the Matrix Material3.3.1 Results; 3.4 Numerical Solution of Periodic Boundary Problems for Damage Coupled to Elastoplasticity; 3.4.1 Formulation of the Periodic Boundary Value Problem; 3.4.2 Numerical Solution of Lippmann-Schwinger Equation via Fast Fourier Transforms; 3.5 Computational Homogenisation; 3.6 Numerical Examples; 3.7 Conclusion; References; 4 Parallel Inelastic Heterogeneous Multi-Scale Simulations; 4.1 Introduction; 4.2 Parallel Heterogeneous Two-Scale FEM for Linear Elasticity
4.3 Numerical Experiments for Linear Elastic Two-Scale Models4.4 Rate-independent Material Models with Memory; 4.5 Heterogeneous Two-Scale FEM for Inelasticity; 4.6 Numerical Experiments for Inelastic Material Models; References; 5 Fast Boundary Element Methods for Composite Materials; 5.1 Introduction; 5.2 Mechanical Modelling; 5.2.1 Single Domain Formulation; 5.2.2 Multi-domain Formulation; 5.2.3 Galerkin Discretisation of the Integral Equations; 5.3 Matrix Valued Radial Basis Functions; 5.3.1 Functional Spaces; 5.3.2 RBFs for the Lamé System; 5.3.3 Native Spaces; 5.3.4 Stability
5.3.5 Error Estimates5.4 Numerical Methods for Matrix Valued RBFs; 5.4.1 Fast Matrix Vector Multiplication and Evaluation; 5.4.2 Fast Solver; 5.5 Numerical Examples; 5.5.1 Krylov Subspace Method; 5.5.2 Error Behaviour; 5.5.3 Particular Solution for a Volume Force Density; 5.5.4 Centrifugal Force; 5.6 Application to Fibre Reinforced Plastic; 5.6.1 Linear Case; 5.6.2 RVE with a Spherical Inclusion; References; 6 Experimental Studies; 6.1 Available Specimen and Preparation; 6.1.1 Tensile Bars; 6.1.2 Sheet Material; 6.2 Digital Image Correlation and Strain Measurement; 6.3 Uniaxial Tensile Tests
Other author Diebels, Stefan, editor.
Rjasanow, Sergej, editor.
SpringerLink issuing body.
Subject Composite materials -- Computer simulation.
Electronic books.
Electronic books.
ISBN 9783662579572 (electronic bk.)
366257957X (electronic bk.)
9783662579565 (print)