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E-raamat: Multiscale Modeling of Heterogeneous Structures

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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.

Part I Composites
Evolution of Failure Mechanisms in Composite Shell Structures Using Different Models
3(20)
Werner Wagner
Friedrich Gruttmann
Micro-Macro Modelling of Metallic Composites
23(16)
Rex Bedzra
Stefanie Reese
Jaan-Willem Simon
Comparison of Mechanical Tests for the Identification of Composite Defects Using Full-Field Measurements and the Modified Constitutive Relation Error
39(22)
E. Barbarella
O. Allix
F. Daghia
E. Jansen
R. Rolfes
Snap-Through of Bistable Configurations Generated from Variable Stiffness Composites
61(22)
Ayan Haldar
Jose Reinoso
Eelco Jansen
Raimund Rolfes
Invariant-Based Finite Strain Anisotropic Material Model for Fiber-Reinforced Composites
83(30)
Aamir Dean
Jose Reinoso
Shahab Sahraee
Benedikt Daum
Raimund Rolfes
Part II Computational Solution Approaches
Unified Approach to Sensitivity Analysis Based Automation of Multi-scale Modelling
113(16)
N. Zupan
J. Korelc
Efficient Multiscale FE-FFT-Based Modeling and Simulation of Macroscopic Deformation Processes with Non-linear Heterogeneous Microstructures
129(18)
Julian Kochmann
Lisa Ehle
Stephan Wulfinghoff
Joachim Mayer
Bob Svendsen
Stefanie Reese
Experimental-Numerical Validation Framework for Micro mechanical Simulations
147(16)
Ante Buljac
Modesar Shakoor
Jan Neggers
Marc Bernacki
Pierre-Olivier Bouchard
Lukas Helfen
Thilo F. Morgeneyer
Francois Hild
Stochastic Upscaling via Linear Bayesian Updating
163(20)
Sadiq M. Sarfaraz
Bojana V. Rosic
Hermann G. Matthies
Adnan Ibrahimbegovic
A Model Reduction Technique in Space and Time for Fatigue Simulation
183(22)
Mainak Bhattacharyya
Amelie Fau
Udo Nackenhorst
David Neron
Pierre Ladeveze
Finite and Virtual Element Formulations for Large Strain Anisotropic Material with Inextensive Fibers
205(30)
P. Wriggers
B. Hudobivnik
J. Schroder
Part III Gradient Enhanced Modeling
A Micromorphic Damage-Plasticity Model to Counteract Mesh Dependence in Finite Element Simulations Involving Material Softening
235(22)
Tim Brepols
Stephan Wulfinghoff
Stefanie Reese
Modeling of Material Deformation Responses Using Gradient Elasticity Theory
257(20)
Jurica Soric
Tomislav Lesicar
Filip Putar
Zdenko Tonkovic
3D Dynamic Crack Propagation by the Extended Finite Element Method and a Gradient-Enhanced Damage Model
277(26)
M. Pezeshki
S. Loehnert
P. Wriggers
P.A. Guidault
E. Baranger
Part IV Multiphysics
A 3D Magnetostrictive Preisach Model for the Simulation of Magneto-Electric Composites on Multiple Scales
303(26)
J. Schroder
M. Labusch
A Multiscale Framework for Thermoplasticity
329(18)
Marko Canadija
Neven Munjas
A Method of Numerical Viscosity Measurement for Solid-Liquid Mixture
347(18)
Reika Nomura
Kenjiro Terada
Shinsuke Takase
Shuji Moriguchi
Numerical Simulation of Hydrogen Embrittlement at the Example of a Cracked Pipeline
365
Milena Mohle
Udo Nackenhorst
Olivier Allix
Erratum to: Efficient Multiscale FE-FFT-Based Modeling and Simulation of Macroscopic Deformation Processes with Non-linear Heterogeneous Microstructures 1
Julian Kochmann
Lisa Ehle
Stephan Wulfinghoff
Joachim Mayer
Bob Svendsen
Stefanie Reese