Multiscale Modeling of Heterogeneous Structures PDF
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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 LibraryofCongressControlNumber:2017949492 ©SpringerInternationalPublishingAG2018,correctedpublication2018 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpart of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission orinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilar methodologynowknownorhereafterdeveloped. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfrom therelevantprotectivelawsandregulationsandthereforefreeforgeneraluse. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authorsortheeditorsgiveawarranty,expressorimplied,withrespecttothematerialcontainedhereinor for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictionalclaimsinpublishedmapsandinstitutionalaffiliations. Printedonacid-freepaper ThisSpringerimprintispublishedbySpringerNature TheregisteredcompanyisSpringerInternationalPublishingAG Theregisteredcompanyaddressis:Gewerbestrasse11,6330Cham,Switzerland 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
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