عنوان

Multi-scale simulation of composite materials :

(Number (ISBN

3662579561

(Number (ISBN

366257957X

(Number (ISBN

3662579588

(Number (ISBN

9783662579565

(Number (ISBN

9783662579572

(Number (ISBN

9783662579589

Erroneous ISBN

9783662579565

Title Proper

Multi-scale simulation of composite materials :

General Material Designation

[Book]

Other Title Information

results from the Project MuSiKo /

First Statement of Responsibility

editors, Stefan Diebels and Sergej Rjasanow.

Place of Publication, Distribution, etc.

Berlin, Germany :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

[2019]

Date of Publication, Distribution, etc.

©2019

Specific Material Designation and Extent of Item

1 online resource

Series Title

Mathematical engineering

Text of Note

Includes bibliographical references and index.

Text of Note

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

Text of Note

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

Text of Note

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

Text of Note

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

Text of Note

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

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Text of Note

Bringing together mathematical modelling, materials mechanics, numerical methods and experimental engineering, this book provides a unique overview of multi-scale modelling approaches, multi-scale simulations and experimental investigations of short fibre reinforced thermoplastics. The first chapters focus on two principal subjects: the mathematical and mechanical models governing composite properties and damage description. The subsequent chapters present numerical algorithms based on the Finite Element Method and the Boundary Element Method, both of which make explicit use of the composite's microstructure. Further, the results of the numerical simulations are shown and compared to experimental results. Lastly, the book investigates deformation and failure of composite materials experimentally, explaining the applied methods and presenting the results for different volume fractions of fibres. This book is a valuable resource for applied mathematics, theoretical and experimental mechanical engineers as well as engineers in industry dealing with modelling and simulation of short fibre reinforced composites.

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9783662579572

International Standard Book Number

9783662579565

International Standard Book Number

9783662579589

Composite materials-- Computer simulation.

Composite materials-- Computer simulation.

TECHNOLOGY & ENGINEERING-- Engineering (General)

TECHNOLOGY & ENGINEERING-- Reference.

TEC-- 009000

TEC-- 035000

TGMD

TGMD

Number

Edition

Class number

Diebels, Stefan

Rjasanow, Sergej

Date of Transaction

20200823192529.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y