skip to content
Multi-scale simulation of composite materials : results from the Project MuSiKo Preview this item
ClosePreview this item
Checking...

Multi-scale simulation of composite materials : results from the Project MuSiKo

Author: Stefan Diebels; Sergej Rjasanow
Publisher: Berlin, Germany : Springer, [2019] ©2019
Series: Mathematical engineering.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Stefan Diebels; Sergej Rjasanow
ISBN: 9783662579572 366257957X
OCLC Number: 1083762987
Description: 1 online resource
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
Series Title: Mathematical engineering.
Responsibility: editors, Stefan Diebels and Sergej Rjasanow.

Abstract:

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.

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/1083762987> # Multi-scale simulation of composite materials : results from the Project MuSiKo
    a schema:CreativeWork, schema:MediaObject, schema:Book ;
    library:oclcnum "1083762987" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/gw> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/8892664792#Topic/composite_materials_computer_simulation> ; # Composite materials--Computer simulation
    schema:about <http://experiment.worldcat.org/entity/work/data/8892664792#Topic/technology_&_engineering_reference> ; # TECHNOLOGY & ENGINEERING--Reference
    schema:about <http://dewey.info/class/620.118/e23/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/8892664792#Topic/technology_&_engineering_engineering_general> ; # TECHNOLOGY & ENGINEERING--Engineering (General)
    schema:bookFormat schema:EBook ;
    schema:copyrightYear "2019" ;
    schema:datePublished "2019" ;
    schema:description "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."@en ;
    schema:description "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"@en ;
    schema:editor <http://experiment.worldcat.org/entity/work/data/8892664792#Person/diebels_stefan> ; # Stefan Diebels
    schema:editor <http://experiment.worldcat.org/entity/work/data/8892664792#Person/rjasanow_sergej> ; # Sergej Rjasanow
    schema:exampleOfWork <http://worldcat.org/entity/work/id/8892664792> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/8892664792#Series/mathematical_engineering> ; # Mathematical engineering.
    schema:name "Multi-scale simulation of composite materials : results from the Project MuSiKo"@en ;
    schema:productID "1083762987" ;
    schema:url <https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=2014599> ;
    schema:url <https://doi.org/10.1007/978-3-662-57957-2> ;
    schema:url <https://public.ebookcentral.proquest.com/choice/publicfullrecord.aspx?p=5660316> ;
    schema:url <http://www.vlebooks.com/vleweb/product/openreader?id=none&isbn=9783662579572> ;
    schema:workExample <http://worldcat.org/isbn/9783662579572> ;
    umbel:isLike <http://bnb.data.bl.uk/id/resource/GBB959522> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/1083762987> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/8892664792#Person/diebels_stefan> # Stefan Diebels
    a schema:Person ;
    schema:familyName "Diebels" ;
    schema:givenName "Stefan" ;
    schema:name "Stefan Diebels" ;
    .

<http://experiment.worldcat.org/entity/work/data/8892664792#Person/rjasanow_sergej> # Sergej Rjasanow
    a schema:Person ;
    schema:familyName "Rjasanow" ;
    schema:givenName "Sergej" ;
    schema:name "Sergej Rjasanow" ;
    .

<http://experiment.worldcat.org/entity/work/data/8892664792#Series/mathematical_engineering> # Mathematical engineering.
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/1083762987> ; # Multi-scale simulation of composite materials : results from the Project MuSiKo
    schema:name "Mathematical engineering." ;
    schema:name "Mathematical engineering" ;
    .

<http://experiment.worldcat.org/entity/work/data/8892664792#Topic/composite_materials_computer_simulation> # Composite materials--Computer simulation
    a schema:Intangible ;
    schema:name "Composite materials--Computer simulation"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/8892664792#Topic/technology_&_engineering_engineering_general> # TECHNOLOGY & ENGINEERING--Engineering (General)
    a schema:Intangible ;
    schema:name "TECHNOLOGY & ENGINEERING--Engineering (General)"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/8892664792#Topic/technology_&_engineering_reference> # TECHNOLOGY & ENGINEERING--Reference
    a schema:Intangible ;
    schema:name "TECHNOLOGY & ENGINEERING--Reference"@en ;
    .

<http://worldcat.org/isbn/9783662579572>
    a schema:ProductModel ;
    schema:isbn "366257957X" ;
    schema:isbn "9783662579572" ;
    .

<http://www.worldcat.org/title/-/oclc/1083762987>
    a genont:InformationResource, genont:ContentTypeGenericResource ;
    schema:about <http://www.worldcat.org/oclc/1083762987> ; # Multi-scale simulation of composite materials : results from the Project MuSiKo
    schema:dateModified "2019-11-08" ;
    void:inDataset <http://purl.oclc.org/dataset/WorldCat> ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.