Multiscale Modeling of Heterogeneous Structures

Description

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. Front Matter ....Pages i-ix Front Matter ....Pages 1-1 Evolution of Failure Mechanisms in Composite Shell Structures Using Different Models (Werner Wagner, Friedrich Gruttmann)....Pages 3-21 Micro-Macro Modelling of Metallic Composites (Rex Bedzra, Stefanie Reese, Jaan-Willem Simon)....Pages 23-37 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)....Pages 39-59 Snap-Through of Bistable Configurations Generated from Variable Stiffness Composites (Ayan Haldar, José Reinoso, Eelco Jansen, Raimund Rolfes)....Pages 61-82 Invariant-Based Finite Strain Anisotropic Material Model for Fiber-Reinforced Composites (Aamir Dean, José Reinoso, Shahab Sahraee, Benedikt Daum, Raimund Rolfes)....Pages 83-110 Front Matter ....Pages 111-111 Unified Approach to Sensitivity Analysis Based Automation of Multi-scale Modelling (N. Zupan, J. Korelc)....Pages 113-127 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)....Pages 129-146 Experimental-Numerical Validation Framework for Micromechanical Simulations (Ante Buljac, Modesar Shakoor, Jan Neggers, Marc Bernacki, Pierre-Olivier Bouchard, Lukas Helfen et al.)....Pages 147-161 Stochastic Upscaling via Linear Bayesian Updating (Sadiq M. Sarfaraz, Bojana V. Rosić, Hermann G. Matthies, Adnan Ibrahimbegović)....Pages 163-181 A Model Reduction Technique in Space and Time for Fatigue Simulation (Mainak Bhattacharyya, Amélie Fau, Udo Nackenhorst, David Néron, Pierre Ladevèze)....Pages 183-203 Finite and Virtual Element Formulations for Large Strain Anisotropic Material with Inextensive Fibers (P. Wriggers, B. Hudobivnik, J. Schröder)....Pages 205-231 Front Matter ....Pages 233-233 A Micromorphic Damage-Plasticity Model to Counteract Mesh Dependence in Finite Element Simulations Involving Material Softening (Tim Brepols, Stephan Wulfinghoff, Stefanie Reese)....Pages 235-255 Modeling of Material Deformation Responses Using Gradient Elasticity Theory (Jurica Sorić, Tomislav Lesičar, Filip Putar, Zdenko Tonković)....Pages 257-275 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)....Pages 277-299 Front Matter ....Pages 301-301 A 3D Magnetostrictive Preisach Model for the Simulation of Magneto-Electric Composites on Multiple Scales (J. Schröder, M. Labusch)....Pages 303-327 A Multiscale Framework for Thermoplasticity (Marko Čanađija, Neven Munjas)....Pages 329-345 A Method of Numerical Viscosity Measurement for Solid-Liquid Mixture (Reika Nomura, Kenjiro Terada, Shinsuke Takase, Shuji Moriguchi)....Pages 347-363 Numerical Simulation of Hydrogen Embrittlement at the Example of a Cracked Pipeline (Milena Möhle, Udo Nackenhorst , Olivier Allix)....Pages 365-381 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)....Pages E1-E1