Materials with internal structure : multiscale and multifield modeling and simulation /

Materials with internal structure : multiscale and multifield modeling and simulation /

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Bibliographic Details
Imprint:Cham : Springer, [2016]
Description:1 online resource
Language:English
Series:Springer tracts in mechanical engineering
Springer tracts in mechanical engineering.
Subject:
Multiscale modeling.
Materials -- Mathematical models.
Materials -- Mathematical models.
Multiscale modeling.
Electronic books.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11249063
Hidden Bibliographic Details
Other authors / contributors:Trovalusci, Patrizia, author.
ISBN:9783319214948
3319214942
9783319214931
3319214934
Digital file characteristics:text file PDF
Notes:Includes bibliographical references.
English.
Online resource; title from PDF title page (EBSCO, viewed October 1, 2015).
Summary:The book presents a series of concise papers by researchers specialized in various fields of continuum and computational mechanics and of material science. The focus is on principles and strategies for multiscale modeling and simulation of complex heterogeneous materials, with periodic or random microstructure, subjected to various types of mechanical, thermal, chemical loadings and environmental effects. A wide overview of complex behavior of materials (plasticity, damage, fracture, growth, etc.) is provided. Among various approaches, attention is given to advanced non-classical continua modeling which, provided by constitutive characterization for the internal and external actions (in particular boundary conditions), is a very powerful frame for the gross mechanical description of complex material behaviors, able to circumvent the restrictions of classical coarse-graining multiscale approaches.
Other form:Print version: Materials with internal structure. Cham : Springer, [2016] 3319214934 9783319214931
Standard no.:10.1007/978-3-319-21494-8
Table of Contents:
  • Preface; Acknowledgements; Contents; Scale Transition Rules Applied to Crystal Plasticity; 1 Introduction; 2 Time-Independent Elastic-Plastic Behavior; 3 Homogenization Methods Applied to EVP Behavior; 4 Effect of a Heterogeneous Elasticity on Both Local and Global Responses of Non-textured Polycrystalline Aggregates; References; A Numerical Assessment of Phase-Field Models for Fracture; 1 Introduction; 2 Phase-Field Representation for a Crack; 3 Brittle Fracture; 3.1 Derivation; 3.2 Analysis of a One-Dimensional Bar; 4 Phase-Field Model for Cohesive Fracture; 4.1 Continuum Formulation.
  • 4.2 Numerical Examples for the Phase-Field Model for Cohesive Fracture5 Concluding Remarks; References; On the Effective Properties of Elastic Materials and Structures at the Micro- and Nano-Scale Considering Various Models of Surface Elasticity; 1 Introduction; 2 Models of Surface Elasticity; 2.1 Gurtin-Murdoch Model of Surface Elasticity; 2.2 Steigmann-Ogden Model of Surface Reinforcements; 2.3 Classic Approach; 3 On Effective Properties of Nanomaterials Considering Surface Stresses; 3.1 Stiffness of a Nanoporous Rod; 3.2 Scaling Law.
  • 3.3 On Spectrum of Eigen-Oscillations of Solids with Surface Stresses3.4 On Effective Properties of Solids with Coatings of Complex Inner Structure; 4 Conclusions; References; Microstructure Sensitive Fatigue Crack Nucleation in Titanium Alloys Using Accelerated Crystal PlasticityFE Simulations; 1 Introduction; 2 Rate-Dependent Crystal Plasticity and Nonlocal Crack Evolution Models for Ti-6242; 3 Wavelet Transformation Based Multi-time Scale Method for Accelerated Cyclic CPFEM Simulations; 3.1 WATMUS Method Based Dwell Fatigue Simulation of Ti-6242 Microstructure.
  • 4 Calibration and Validation of Critical Crack Nucleation Parameter Rc5 Influence of Microstructural and Loading Characteristics on Crack Nucleation in Ti-6242; 5.1 Sensitivity of Crack Nucleation to Microstructural Features; 5.2 Sensitivity of Crack Nucleation to Characteristics of Applied Loading; 6 Conclusion; References; Advances in Multiscale Modeling of Granular Materials; 1 Introduction; 2 Gradient Cosserat Continuum Model; 3 Generalized Hill's Lemma and RVE Boundary Conditions: Downscaling; 4 Meso-Mechanically Informed Macroscopic Stress Variables and Constitutive Model: Upscaling.
  • 5 Numerical Results6 Concluding Remarks; References; Tensor-Valued Random Fields in Continuum Physics; 1 Introduction; 2 Representations of Rank 1 and Rank 2 TRFs; 2.1 Rank 1 TRF; 2.2 Rank 2 TRF; 3 Spectral Expansions of Homogeneous and Isotropic TRFs; 4 The Spectral Expansion of the Elasticity Random Field; 5 TRFs Dependent Fields; 5.1 Fourier Conductivity; 5.1.1 Correlation of Heat Flux TRF; 5.1.2 Correlation of Temperature Gradient TRF; 5.2 Anti-plane Elasticity; 5.2.1 Correlation of Stress TRF; 5.2.2 Correlation of Strain TRF; 5.3 3d Classical Elasticity; 5.3.1 Correlation of Stress TRF.

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