Multiscale Modeling of Heterogeneous Structures

374 Pages·2018·16.959 MB·English

by  Jurica Sorić,Peter Wriggers,Olivier Allix (eds.)

Lecture Notes in Applied and Computational Mechanics 86
Jurica Sorić
Peter Wriggers
Olivier Allix Editors
Multiscale
Modeling of
Heterogeneous
Structures
Lecture Notes in Applied and Computational
Mechanics
Volume 86
Series editors
Peter Wriggers, Leibniz Universität Hannover, Hannover, Germany
e-mail: [email protected]
Peter Eberhard, University of Stuttgart, Stuttgart, Germany
e-mail: [email protected]
This series aims to report new developments in applied and computational
mechanics—quickly,informallyandatahighlevel.Thisincludesthefieldsoffluid,
solid and structural mechanics, dynamics and control, and related disciplines. The
applied methods can be of analytical, numerical and computational nature.
More information about this series at http://www.springer.com/series/4623
ć
Jurica Sori Peter Wriggers
(cid:129)
Olivier Allix
Editors
Multiscale Modeling
of Heterogeneous Structures
123
Editors
Jurica Sorić Olivier Allix
University of Zagreb LMT Cachan
Zagreb Cachan
Croatia France
PeterWriggers
Institute of Continuum Mechanics
LeibnizUniversität Hannover
Hannover
Germany
ISSN 1613-7736 ISSN 1860-0816 (electronic)
Lecture Notesin AppliedandComputational Mechanics
ISBN978-3-319-65462-1 ISBN978-3-319-65463-8 (eBook)
https://doi.org/10.1007/978-3-319-65463-8
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Preface
Many engineering materials have a heterogeneous structure, especially at the
microscopicscale.Theseareoftenreferredtoasmultiphasematerials,compositeor
heterogeneous materials. From an engineering point of view, multiphase materials
are desirable because they can be tailor-made to take advantage of particular
propertiesofeachconstituent.Thesize,shape,spatialdistribution,volumefraction,
and properties of the constituents at microstructural level have a significant impact
onthebehaviorofmaterialpropertiesobservedatthemacroscale.Additionally,the
external loading applied at macroscale might cause changes in the microstructural
morphology, e.g., void formation, damage as well as cracking, which can put
structural integrity at risk. In order to assess structural integrity and to predict
structural lifetime, an analysis of the evolving microstructure is necessary. An
efficientcomputationalstrategyenablingmorerealisticmaterialdescriptionaswell
as deformation response is still a challenge in computational mechanics. Various
multiscale techniqueshave beendeveloped that model materials at multiple levels.
Moreover, various modern experimental techniques provide access to a detailed
characterization of the internal structure and processes taking place in materials at
small scales, paving the way to new routes for model validation.
This book contains 18 papers that resulted from selected presentations at the
workshop“MultiscaleModelingofHeterogeneousStructures”heldSeptember21–
23, 2016 in Dubrovnik, Croatia. The workshop focused on multiscale approaches
and homogenization procedures as well as damage evaluation and crack initiation.
Recentadvancesintheanalysisanddiscretizationofheterogeneousmaterialswere
addressed.The state oftheart inthis research area was highlightedwith respectto
different computational methods, software development, and applications to engi-
neering structures.
The papers were allotted to four topics: Composites, Computational Solution
Approaches, Gradient Enhanced Modeling, and Multiphysics and associated
experimental techniques. The topic Composites covers defects in composite
materialsincludingtheirnumericalandexperimentalinvestigations.Elasticaswell
as elastoplastic constitutive models are considered, where the modeling has been
performed at macro- and microlevels. The second group of the papers is more
v
vi Preface
focused on novel computational schemes applied at the different scales. The vali-
dation of numerical results has been discussed. The quasi-brittle and the ductile
damage using the gradient enhanced approach are considered in the frame of the
topic Gradient Enhanced Modeling. Finally, the thermoplasticity, the solid-liquid
mixture as well as the ferroelectric models are discussed in the fourth topic.
The workshop was held under the auspices of the German Association for
Computational Mechanics (GACM), the Central European Association for
Computational Mechanics (CEACM), the ENS Cachan, the Leibniz Universität
Hannover, the Faculty of Mechanical Engineering, and Naval Architecture of the
University of Zagreb. It was supported by the Alexander von Humboldt
Foundation, the Deutsch-Französische Hochschule, and the Deutsche
Forschungsgemeinschaft.Theeditorsexpresstheirdeepgratitudetoallsponsoring
institutions. Furthermore, the editors would like to thank Ms. Schulte and Dr.
Lesičar for their engagement in the organization of the workshop as well as Dr.
Weißenfels for his valuable assistance in preparing the book.
Zagreb, Croatia Jurica Sorić
Hannover, Germany Peter Wriggers
Cachan, France Olivier Allix
Contents
Part I Composites
EvolutionofFailureMechanismsinCompositeShellStructuresUsing
Different Models. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
Werner Wagner and Friedrich Gruttmann
Micro-Macro Modelling of Metallic Composites. . . . . . . . . . . . . . . . . . . 23
Rex Bedzra, Stefanie Reese and Jaan-Willem Simon
Comparison of Mechanical Tests for the Identification of Composite
DefectsUsingFull-FieldMeasurementsandtheModifiedConstitutive
Relation Error . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
E. Barbarella, O. Allix, F. Daghia, E. Jansen and R. Rolfes
Snap-Through of Bistable Configurations Generated from Variable
Stiffness Composites . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61
Ayan Haldar, José Reinoso, Eelco Jansen and Raimund Rolfes
Invariant-Based Finite Strain Anisotropic Material Model for
Fiber-Reinforced Composites . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83
Aamir Dean, José Reinoso, Shahab Sahraee, Benedikt Daum
and Raimund Rolfes
Part II Computational Solution Approaches
Unified Approach to Sensitivity Analysis Based Automation
of Multi-scale Modelling. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 113
N. Zupan and J. Korelc
Efficient Multiscale FE-FFT-Based Modeling and Simulation of
Macroscopic Deformation Processes with Non-linear Heterogeneous
Microstructures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129
Julian Kochmann, Lisa Ehle, Stephan Wulfinghoff, Joachim Mayer,
Bob Svendsen and Stefanie Reese
vii
viii Contents
Experimental-Numerical Validation Framework for
Micromechanical Simulations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147
Ante Buljac, Modesar Shakoor, Jan Neggers, Marc Bernacki,
Pierre-Olivier Bouchard, Lukas Helfen, Thilo F. Morgeneyer
and François Hild
Stochastic Upscaling via Linear Bayesian Updating . . . . . . . . . . . . . . . 163
Sadiq M. Sarfaraz, Bojana V. Rosić, Hermann G. Matthies
and Adnan Ibrahimbegović
A Model Reduction Technique in Space and Time for Fatigue
Simulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 183
Mainak Bhattacharyya, Amélie Fau, Udo Nackenhorst, David Néron
and Pierre Ladevèze
FiniteandVirtualElementFormulationsforLargeStrainAnisotropic
Material with Inextensive Fibers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 205
P. Wriggers, B. Hudobivnik and J. Schröder
Part III Gradient Enhanced Modeling
A Micromorphic Damage-Plasticity Model to Counteract Mesh
Dependence in Finite Element Simulations Involving Material
Softening . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 235
Tim Brepols, Stephan Wulfinghoff and Stefanie Reese
Modeling of Material Deformation Responses Using Gradient
Elasticity Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 257
Jurica Sorić, Tomislav Lesičar, Filip Putar and Zdenko Tonković
3D Dynamic Crack Propagation by the Extended Finite Element
Method and a Gradient-Enhanced Damage Model. . . . . . . . . . . . . . . . . 277
M. Pezeshki, S. Loehnert, P. Wriggers, P.A. Guidault and E. Baranger
Part IV Multiphysics
A 3D Magnetostrictive Preisach Model for the Simulation of
Magneto-Electric Composites on Multiple Scales . . . . . . . . . . . . . . . . . . 303
J. Schröder and M. Labusch
A Multiscale Framework for Thermoplasticity. . . . . . . . . . . . . . . . . . . . 329
Marko Čanađija and Neven Munjas
Contents ix
A Method of Numerical Viscosity Measurement for Solid-Liquid
Mixture . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 347
Reika Nomura, Kenjiro Terada, Shinsuke Takase and Shuji Moriguchi
Numerical Simulation of Hydrogen Embrittlement at the Example
of a Cracked Pipeline. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 365
Milena Möhle, Udo Nackenhorst and Olivier Allix
Erratum to: Efficient Multiscale FE-FFT-Based Modeling and
Simulation of Macroscopic Deformation Processes with Non-linear
Heterogeneous Microstructures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . E1
Julian Kochmann, Lisa Ehle, Stephan Wulfinghoff, Joachim Mayer,
Bob Svendsen and Stefanie Reese