skip to content
Mathematical modelling in solid mechanics Preview this item
ClosePreview this item
Checking...

Mathematical modelling in solid mechanics

Author: Francesco Dell'Isola; Mircea Sofonea; David J Steigmann
Publisher: Singapore : Springer, [2017] ©2017
Series: Advanced structured materials, 69.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book presents new research results in multidisciplinary fields of mathematical and numerical modelling in mechanics. The chapters treat the topics: mathematical modelling in solid, fluid and contact mechanics nonconvex variational analysis with emphasis to nonlinear solid and structural mechanics numerical modelling of problems with non-smooth constitutive laws, approximation of variational and hemivariational  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
Additional Physical Format: Print version:
Mathematical modelling in solid mechanics.
Singapore : Springer, [2017]
(OCoLC)967559825
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Francesco Dell'Isola; Mircea Sofonea; David J Steigmann
ISBN: 9789811037641 9811037647
OCLC Number: 975487011
Description: 1 online resource : illustrations.
Contents: Preface; Emerging Trends in Applied Mathematics and Mechanics (ETAMM 2016); Organizing Committee; International Scientific Committee; Plenary Lectures; Keynotes Lectures; Contents; Contributors; Convergence of Hencky-Type Discrete Beam Model to Euler Inextensible Elastica in Large Deformation: Rigorous Proof; 1 Introduction; 2 Convergence of Measure Functionals; 3 Micro-Model for Non-Linear Beams; 3.1 Discrete Configurations and Operators; 3.2 Left Hand Side Clamped Inextensible Beam; 3.3 Deformation Energy Associated with Three Points Interactions. 3 Governing Equations for the Equilibrium of Cosserat Shells4 Variational Formulation and Existence of Minimizers; 5 Application: Isotropic Cosserat Shells; 6 Open Problems; References; Flow Relations and Yield Functions for Dissipative Strain-Gradient Plasticity; 1 Introduction; 2 Governing Equations and Inequalities; 3 Weak Form of Equilibrium and the Elastic --
Plastic Initial-Boundary Value Problem; 4 The Fully Discrete Problem; 5 Concluding Remarks; References; Finite Elasto-Plastic Models for Lattice Defects in Crystalline Materials; 1 Introduction. 2 Geometry and Kinematics of Elasto-Plastic Body3 Energetic Assumptions; 3.1 Micro Balance Equations; 3.2 Free Energy Density Function; 4 The Postulate of the Free Energy Imbalance; 5 Viscoplastic Type Evolution Equations; 6 Concluding Remarks; References; Modeling Deformable Bodies Using Discrete Systems with Centroid-Based Propagating Interaction: Fracture and Crack Evolution; 1 Introduction; 1.1 Motivation and Basic Ideas; 1.2 A Summary of the Algorithm and of the Formalism Employed; 1.3 Short Summary of Preliminary Numerical Results; 1.4 Further Comparison with Finite Element Simulations. 2 Spontaneous Evolution and Discrete Energy Equivalent3 Fracture and Crack Formation and Evolution; 3.1 Introduction of the Fracture; 3.2 Basic Fracture and Crack Evolution; 3.3 Uniaxial External Action; 3.4 Almost-Steady State; 4 Conclusion and Further Objectives; References; A Review on Wave Propagation Modeling in Band-Gap Metamaterials via Enriched Continuum Models; 1 Introduction; 1.1 Notations; 1.2 The Fundamental Role of Micro-Inertia in Enriched Continuum Mechanics; 2 The Classical Relaxed Micromorphic Model.
Series Title: Advanced structured materials, 69.
Responsibility: Francesco dell'Isola, Mircea Sofonea, David Steigmann, editors.

Abstract:

This book presents new research results in multidisciplinary fields of mathematical and numerical modelling in mechanics. The chapters treat the topics: mathematical modelling in solid, fluid and contact mechanics nonconvex variational analysis with emphasis to nonlinear solid and structural mechanics numerical modelling of problems with non-smooth constitutive laws, approximation of variational and hemivariational inequalities, numerical analysis of discrete schemes, numerical methods and the corresponding algorithms, applications to mechanical engineering numerical aspects of non-smooth mechanics, with emphasis on developing accurate and reliable computational tools mechanics of fibre-reinforced materials behaviour of elasto-plastic materials accounting for the microstructural defects definition of structural defects based on the differential geometry concepts or on the atomistic basis interaction between phase transformation and dislocations at nano-scale energetic arguments bifurcation and post-buckling analysis of elasto-plastic structures engineering optimization and design, global optimization and related algorithms The book presents selected papers presented at ETAMM 2016. It includes new and original results written by internationally recognized specialists.

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/975487011> # Mathematical modelling in solid mechanics
    a schema:CreativeWork, schema:Book, schema:MediaObject ;
    library:oclcnum "975487011" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/si> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/4124205925#Topic/technology_&_engineering_mechanical> ; # TECHNOLOGY & ENGINEERING--Mechanical
    schema:about <http://experiment.worldcat.org/entity/work/data/4124205925#Topic/computational_science_and_engineering> ; # Computational Science and Engineering
    schema:about <http://experiment.worldcat.org/entity/work/data/4124205925#Topic/numerical_and_computational_physics_simulation> ; # Numerical and Computational Physics, Simulation
    schema:about <http://dewey.info/class/621.015118/e23/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/4124205925#Topic/numeric_computing> ; # Numeric Computing
    schema:about <http://experiment.worldcat.org/entity/work/data/4124205925#Topic/mechanical_engineering_mathematical_models> ; # Mechanical engineering--Mathematical models
    schema:about <http://experiment.worldcat.org/entity/work/data/4124205925#Topic/continuum_mechanics_and_mechanics_of_materials> ; # Continuum Mechanics and Mechanics of Materials
    schema:about <http://experiment.worldcat.org/entity/work/data/4124205925#Topic/engineering> ; # Engineering
    schema:bookFormat schema:EBook ;
    schema:copyrightYear "2017" ;
    schema:datePublished "2017" ;
    schema:description "This book presents new research results in multidisciplinary fields of mathematical and numerical modelling in mechanics. The chapters treat the topics: mathematical modelling in solid, fluid and contact mechanics nonconvex variational analysis with emphasis to nonlinear solid and structural mechanics numerical modelling of problems with non-smooth constitutive laws, approximation of variational and hemivariational inequalities, numerical analysis of discrete schemes, numerical methods and the corresponding algorithms, applications to mechanical engineering numerical aspects of non-smooth mechanics, with emphasis on developing accurate and reliable computational tools mechanics of fibre-reinforced materials behaviour of elasto-plastic materials accounting for the microstructural defects definition of structural defects based on the differential geometry concepts or on the atomistic basis interaction between phase transformation and dislocations at nano-scale energetic arguments bifurcation and post-buckling analysis of elasto-plastic structures engineering optimization and design, global optimization and related algorithms The book presents selected papers presented at ETAMM 2016. It includes new and original results written by internationally recognized specialists."@en ;
    schema:description "Preface; Emerging Trends in Applied Mathematics and Mechanics (ETAMM 2016); Organizing Committee; International Scientific Committee; Plenary Lectures; Keynotes Lectures; Contents; Contributors; Convergence of Hencky-Type Discrete Beam Model to Euler Inextensible Elastica in Large Deformation: Rigorous Proof; 1 Introduction; 2 Convergence of Measure Functionals; 3 Micro-Model for Non-Linear Beams; 3.1 Discrete Configurations and Operators; 3.2 Left Hand Side Clamped Inextensible Beam; 3.3 Deformation Energy Associated with Three Points Interactions." ;
    schema:editor <http://experiment.worldcat.org/entity/work/data/4124205925#Person/sofonea_mircea> ; # Mircea Sofonea
    schema:editor <http://experiment.worldcat.org/entity/work/data/4124205925#Person/dell_isola_francesco> ; # Francesco Dell'Isola
    schema:editor <http://experiment.worldcat.org/entity/work/data/4124205925#Person/steigmann_david_j> ; # David J. Steigmann
    schema:exampleOfWork <http://worldcat.org/entity/work/id/4124205925> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/4124205925#Series/advanced_structured_materials> ; # Advanced structured materials ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/967559825> ;
    schema:name "Mathematical modelling in solid mechanics"@en ;
    schema:productID "975487011" ;
    schema:url <https://link.springer.com/openurl?genre=book&isbn=978-981-10-3763-4> ;
    schema:url <http://www.myilibrary.com?id=1000918> ;
    schema:url <http://uproxy.library.dc-uoit.ca/login?url=http://books.scholarsportal.info/viewdoc.html?id=/ebooks/ebooks3/springer/2017-08-17/7/9789811037641> ;
    schema:url <https://link.springer.com/10.1007/978-981-10-3764-1> ;
    schema:url <http://sfx.carli.illinois.edu/sfxwhe/sfx_local?genre=book&sid=Voyager:WHE&sfx.ignore_date_threshold=1&svc.fulltext=yes&rft.isbn=978-981-10-3764-1> ;
    schema:url <https://grinnell.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-981-10-3764-1> ;
    schema:url <http://proxy.ohiolink.edu:9099/login?url=http://link.springer.com/10.1007/978-981-10-3764-1> ;
    schema:url <https://0-link-springer-com.pugwash.lib.warwick.ac.uk/book/10.1007/978-981-10-3764-1> ;
    schema:url <http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=1484688> ;
    schema:url <http://ezproxy.st-andrews.ac.uk/login?url=http://link.springer.com/10.1007/978-981-10-3764-1> ;
    schema:url <https://0-link-springer-com.pugwash.lib.warwick.ac.uk/10.1007/978-981-10-3764-1> ;
    schema:url <http://lib.myilibrary.com?id=1000918> ;
    schema:url <http://public.eblib.com/choice/publicfullrecord.aspx?p=4822061> ;
    schema:url <http://VH7QX3XE2P.search.serialssolutions.com/?V=1.0&L=VH7QX3XE2P&S=JCs&C=TC0001819770&T=marc&tab=BOOKS> ;
    schema:url <http://dx.doi.org/10.1007/978-981-10-3764-1> ;
    schema:url <http://rave.ohiolink.edu/ebooks/ebc/9789811037641> ;
    schema:url <http://libproxy.uwyo.edu/login/?url=http://dx.doi.org/10.1007/978-981-10-3764-1> ;
    schema:url <http://uproxy.library.dc-uoit.ca/login?url=http://link.springer.com/10.1007/978-981-10-3764-1> ;
    schema:url <http://link.springer.com/10.1007/978-981-10-3764-1> ;
    schema:workExample <http://dx.doi.org/10.1007/978-981-10-3764-1> ;
    schema:workExample <http://worldcat.org/isbn/9789811037641> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/975487011> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/4124205925#Person/dell_isola_francesco> # Francesco Dell'Isola
    a schema:Person ;
    schema:familyName "Dell'Isola" ;
    schema:givenName "Francesco" ;
    schema:name "Francesco Dell'Isola" ;
    .

<http://experiment.worldcat.org/entity/work/data/4124205925#Person/sofonea_mircea> # Mircea Sofonea
    a schema:Person ;
    schema:familyName "Sofonea" ;
    schema:givenName "Mircea" ;
    schema:name "Mircea Sofonea" ;
    .

<http://experiment.worldcat.org/entity/work/data/4124205925#Person/steigmann_david_j> # David J. Steigmann
    a schema:Person ;
    schema:familyName "Steigmann" ;
    schema:givenName "David J." ;
    schema:name "David J. Steigmann" ;
    .

<http://experiment.worldcat.org/entity/work/data/4124205925#Series/advanced_structured_materials> # Advanced structured materials ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/975487011> ; # Mathematical modelling in solid mechanics
    schema:name "Advanced structured materials ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/4124205925#Topic/computational_science_and_engineering> # Computational Science and Engineering
    a schema:Intangible ;
    schema:name "Computational Science and Engineering"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/4124205925#Topic/continuum_mechanics_and_mechanics_of_materials> # Continuum Mechanics and Mechanics of Materials
    a schema:Intangible ;
    schema:name "Continuum Mechanics and Mechanics of Materials"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/4124205925#Topic/mechanical_engineering_mathematical_models> # Mechanical engineering--Mathematical models
    a schema:Intangible ;
    schema:name "Mechanical engineering--Mathematical models"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/4124205925#Topic/numeric_computing> # Numeric Computing
    a schema:Intangible ;
    schema:name "Numeric Computing"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/4124205925#Topic/numerical_and_computational_physics_simulation> # Numerical and Computational Physics, Simulation
    a schema:Intangible ;
    schema:name "Numerical and Computational Physics, Simulation"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/4124205925#Topic/technology_&_engineering_mechanical> # TECHNOLOGY & ENGINEERING--Mechanical
    a schema:Intangible ;
    schema:name "TECHNOLOGY & ENGINEERING--Mechanical"@en ;
    .

<http://lib.myilibrary.com?id=1000918>
    rdfs:comment "Connect to MyiLibrary resource." ;
    .

<http://rave.ohiolink.edu/ebooks/ebc/9789811037641>
    rdfs:comment "Connect to resource" ;
    .

<http://uproxy.library.dc-uoit.ca/login?url=http://link.springer.com/10.1007/978-981-10-3764-1>
    rdfs:comment "eBook available for UOIT via SpringerLink. Click link to access" ;
    .

<http://worldcat.org/isbn/9789811037641>
    a schema:ProductModel ;
    schema:isbn "9811037647" ;
    schema:isbn "9789811037641" ;
    .

<http://www.worldcat.org/oclc/967559825>
    a schema:CreativeWork ;
    rdfs:label "Mathematical modelling in solid mechanics." ;
    schema:description "Print version:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/975487011> ; # Mathematical modelling in solid mechanics
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

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