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About this book

This book provides an overview of multiscale approaches and homogenization procedures as well as damage evaluation and crack initiation, and addresses recent advances in the analysis and discretization of heterogeneous materials. It also highlights the state of the art in this research area with respect to different computational methods, software development and applications to engineering structures.

The first part focuses on defects in composite materials including their numerical and experimental investigations; elastic as well as elastoplastic constitutive models are considered, where the modeling has been performed at macro- and micro levels. The second part is devoted to novel computational schemes applied on different scales and discusses the validation of numerical results. The third part discusses gradient enhanced modeling, in particular quasi-brittle and ductile damage, using the gradient enhanced approach. The final part addresses thermoplasticity, solid-liquid mixtures and ferroelectric models. The contents are based on the international workshop “Multiscale Modeling of Heterogeneous Structures” (MUMO 2016), held in Dubrovnik, Croatia in September 2016.

Table of Contents

Frontmatter

2018 | CompoundObjectErratum | Chapter

Erratum to: Efficient Multiscale FE-FFT-Based Modeling and Simulation of Macroscopic Deformation Processes with Non-linear Heterogeneous Microstructures

Julian Kochmann, Lisa Ehle, Stephan Wulfinghoff, Joachim Mayer, Bob Svendsen, Stefanie Reese

Composites

Frontmatter

2018 | OriginalPaper | Chapter

Evolution of Failure Mechanisms in Composite Shell Structures Using Different Models

Werner Wagner, Friedrich Gruttmann

2018 | OriginalPaper | Chapter

Micro-Macro Modelling of Metallic Composites

Rex Bedzra, Stefanie Reese, Jaan-Willem Simon

2018 | OriginalPaper | Chapter

Comparison of Mechanical Tests for the Identification of Composite Defects Using Full-Field Measurements and the Modified Constitutive Relation Error

E. Barbarella, O. Allix, F. Daghia, E. Jansen, R. Rolfes

2018 | OriginalPaper | Chapter

Snap-Through of Bistable Configurations Generated from Variable Stiffness Composites

Ayan Haldar, José Reinoso, Eelco Jansen, Raimund Rolfes

2018 | OriginalPaper | Chapter

Invariant-Based Finite Strain Anisotropic Material Model for Fiber-Reinforced Composites

Aamir Dean, José Reinoso, Shahab Sahraee, Benedikt Daum, Raimund Rolfes

Computational Solution Approaches

Frontmatter

2018 | OriginalPaper | Chapter

Unified Approach to Sensitivity Analysis Based Automation of Multi-scale Modelling

N. Zupan, J. Korelc

2018 | OriginalPaper | Chapter

Efficient Multiscale FE-FFT-Based Modeling and Simulation of Macroscopic Deformation Processes with Non-linear Heterogeneous Microstructures

Julian Kochmann, Lisa Ehle, Stephan Wulfinghoff, Joachim Mayer, Bob Svendsen, Stefanie Reese

2018 | OriginalPaper | Chapter

Experimental-Numerical Validation Framework for Micromechanical Simulations

Ante Buljac, Modesar Shakoor, Jan Neggers, Marc Bernacki, Pierre-Olivier Bouchard, Lukas Helfen, Thilo F. Morgeneyer, François Hild

2018 | OriginalPaper | Chapter

Stochastic Upscaling via Linear Bayesian Updating

Sadiq M. Sarfaraz, Bojana V. Rosić, Hermann G. Matthies, Adnan Ibrahimbegović

2018 | OriginalPaper | Chapter

A Model Reduction Technique in Space and Time for Fatigue Simulation

Mainak Bhattacharyya, Amélie Fau, Udo Nackenhorst, David Néron, Pierre Ladevèze

2018 | OriginalPaper | Chapter

Finite and Virtual Element Formulations for Large Strain Anisotropic Material with Inextensive Fibers

P. Wriggers, B. Hudobivnik, J. Schröder

Gradient Enhanced Modeling

Frontmatter

2018 | OriginalPaper | Chapter

A Micromorphic Damage-Plasticity Model to Counteract Mesh Dependence in Finite Element Simulations Involving Material Softening

Tim Brepols, Stephan Wulfinghoff, Stefanie Reese

2018 | OriginalPaper | Chapter

Modeling of Material Deformation Responses Using Gradient Elasticity Theory

Jurica Sorić, Tomislav Lesičar, Filip Putar, Zdenko Tonković

2018 | OriginalPaper | Chapter

3D Dynamic Crack Propagation by the Extended Finite Element Method and a Gradient-Enhanced Damage Model

M. Pezeshki, S. Loehnert, P. Wriggers, P. A. Guidault, E. Baranger

Multiphysics

Frontmatter

2018 | OriginalPaper | Chapter

A 3D Magnetostrictive Preisach Model for the Simulation of Magneto-Electric Composites on Multiple Scales

J. Schröder, M. Labusch

2018 | OriginalPaper | Chapter

A Multiscale Framework for Thermoplasticity

Marko Čanađija, Neven Munjas

2018 | OriginalPaper | Chapter

A Method of Numerical Viscosity Measurement for Solid-Liquid Mixture

Reika Nomura, Kenjiro Terada, Shinsuke Takase, Shuji Moriguchi

2018 | OriginalPaper | Chapter

Numerical Simulation of Hydrogen Embrittlement at the Example of a Cracked Pipeline

Milena Möhle, Udo Nackenhorst , Olivier Allix
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