Homogenization of the Linear and Non-linear Mechanical Behavior of Polycrystals PDF Download
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Author: Katja Jöchen
Publisher: KIT Scientific Publishing
ISBN: 3866449712
Category : Science
Languages : en
Pages : 216
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Book Description
This work is dedicated to the numerically efficient simulation of the material response of polycrystalline aggregates. Therefore, crystal plasticity is combined with a new non-linear homogenization scheme, which is based on piecewise constant stress polarizations with respect to a homogeneous reference medium and corresponds to a generalization of the Hashin-Shtrikman scheme. This mean field approach accounts for the one- and two-point statistics of the microstructure.
Author: Katja Jöchen
Publisher: KIT Scientific Publishing
ISBN: 3866449712
Category : Science
Languages : en
Pages : 216
Get Book Here
Book Description
This work is dedicated to the numerically efficient simulation of the material response of polycrystalline aggregates. Therefore, crystal plasticity is combined with a new non-linear homogenization scheme, which is based on piecewise constant stress polarizations with respect to a homogeneous reference medium and corresponds to a generalization of the Hashin-Shtrikman scheme. This mean field approach accounts for the one- and two-point statistics of the microstructure.
Author:
Publisher:
ISBN: 9781000032284
Category :
Languages : en
Pages : 0
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Book Description
This work is dedicated to the numerically efficient simulation of the material response of polycrystalline aggregates. Therefore, crystal plasticity is combined with a new non-linear homogenization scheme, which is based on piecewise constant stress polarizations with respect to a homogeneous reference medium and corresponds to a generalization of the Hashin-Shtrikman scheme. This mean field approach accounts for the one- and two-point statistics of the microstructure.
Author: Lobos Fernández, Mauricio
Publisher: KIT Scientific Publishing
ISBN: 3731507706
Category : Materials
Languages : en
Pages : 224
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Book Description
This work approaches the fields of homogenization and of materials design for the linear and nonlinear mechanical properties with prescribed properties-profile. The set of achievable properties is bounded by the zeroth-order bounds (which are material specific), the first-order bounds (containing volume fractions of the phases) and the second-order Hashin-Shtrikman bounds with eigenfields in terms of tensorial texture coefficients for arbitrarily anisotropic textured materials.
Author: Felix Fritzen
Publisher: KIT Scientific Publishing
ISBN: 3866446993
Category : Technology & Engineering
Languages : en
Pages : 190
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Book Description
Engineering materials show a pronounced heterogeneity on a smaller scale that influences the macroscopic constitutive behavior. Algorithms for the periodic discretization of microstructures are presented. These are used within the Nonuniform Transformation Field Analysis (NTFA) which is an order reduction based nonlinear homogenization method with micro-mechanical background. Theoretical and numerical aspects of the method are discussed and its computational efficiency is validated.
Author: P. Ponte Castaneda
Publisher: Springer Science & Business Media
ISBN: 1402026234
Category : Technology & Engineering
Languages : en
Pages : 371
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Book Description
Although several books and conference proceedings have already appeared dealing with either the mathematical aspects or applications of homogenization theory, there seems to be no comprehensive volume dealing with both aspects. The present volume is meant to fill this gap, at least partially, and deals with recent developments in nonlinear homogenization emphasizing applications of current interest. It contains thirteen key lectures presented at the NATO Advanced Workshop on Nonlinear Homogenization and Its Applications to Composites, Polycrystals and Smart Materials. The list of thirty one contributed papers is also appended. The key lectures cover both fundamental, mathematical aspects of homogenization, including nonconvex and stochastic problems, as well as several applications in micromechanics, thin films, smart materials, and structural and topology optimization. One lecture deals with a topic important for nanomaterials: the passage from discrete to continuum problems by using nonlinear homogenization methods. Some papers reveal the role of parameterized or Young measures in description of microstructures and in optimal design. Other papers deal with recently developed methods – both analytical and computational – for estimating the effective behavior and field fluctuations in composites and polycrystals with nonlinear constitutive behavior. All in all, the volume offers a cross-section of current activity in nonlinear homogenization including a broad range of physical and engineering applications. The careful reader will be able to identify challenging open problems in this still evolving field. For instance, there is the need to improve bounding techniques for nonconvex problems, as well as for solving geometrically nonlinear optimum shape-design problems, using relaxation and homogenization methods.
Author: Denis Benasciutti
Publisher: MDPI
ISBN: 3039287702
Category : Technology & Engineering
Languages : en
Pages : 220
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Book Description
In several industrial fields (such as automotive, steelmaking, aerospace, and fire protection systems) metals need to withstand a combination of cyclic loadings and high temperatures. In this condition, they usually exhibit an amount—more or less pronounced—of plastic deformation, often accompanied by creep or stress-relaxation phenomena. Plastic deformation under the action of cyclic loadings may cause fatigue cracks to appear, eventually leading to failures after a few cycles. In estimating the material strength under such loading conditions, the high-temperature material behavior needs to be considered against cyclic loading and creep, the experimental strength to isothermal/non-isothermal cyclic loadings and, not least of all, the choice and experimental calibration of numerical material models and the selection of the most comprehensive design approach. This book is a series of recent scientific contributions addressing several topics in the field of experimental characterization and physical-based modeling of material behavior and design methods against high-temperature loadings, with emphasis on the correlation between microstructure and strength. Several material types are considered, from stainless steel, aluminum alloys, Ni-based superalloys, spheroidal graphite iron, and copper alloys. The quality of scientific contributions in this book can assist scholars and scientists with their research in the field of metal plasticity, creep, and low-cycle fatigue.
Author: Christian Lexcellent
Publisher: Springer
ISBN: 3319556096
Category : Science
Languages : en
Pages : 268
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Book Description
This book offers an essential introduction to the linear and non-linear behavior of solid materials, and to the concepts of deformation, displacement and stress, within the context of continuum mechanics and thermodynamics. To illustrate the fundamental principles, the book starts with an overview of solid mechanics, experimental methods, classes of material behaviors, and the thermodynamic modeling framework. It then explores linear elastic behavior, thermoelasticity, plasticity, viscoplasticity, fracture mechanics and damage behavior. The last part of the book is devoted to conventional and magnetic shape memory alloys, which may be used as actuators or sensors in adaptive structures. Given its range of coverage, the book will be especially valuable for students of engineering courses in Mechanics. Further, it includes a wealth of examples and exercises, making it accessible to the widest possible audience.
Author: Bauer, Julian Karl
Publisher: KIT Scientific Publishing
ISBN: 3731512629
Category : Technology & Engineering
Languages : en
Pages : 252
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Book Description
Effective mechanical properties of fiber-reinforced composites strongly depend on the microstructure, including the fibers' orientation. Studying this dependency, we identify the variety of fiber orientation tensors up to fourth-order using irreducible tensors and material symmetry. The case of planar fiber orientation tensors, relevant for sheet molding compound, is presented completely. Consequences for the reconstruction of fiber distributions and mean field homogenization are presented.
Author: Oana Cazacu
Publisher: John Wiley & Sons
ISBN: 1118623509
Category : Technology & Engineering
Languages : en
Pages : 275
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Book Description
A material's various proprieties is based on its microscopic and nanoscale structures. This book provides an overview of recent advances in computational methods for linking phenomena in systems that span large ranges of time and spatial scales. Particular attention is given to predicting macroscopic properties based on subscale behaviors. Given the book’s extensive coverage of multi-scale methods for modeling both metallic and geologic materials, it will be an invaluable reading for graduate students, scientists, and practitioners alike.
Author: Carlos N. Tome
Publisher: Elsevier
ISBN: 0128207205
Category : Technology & Engineering
Languages : en
Pages : 381
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Book Description
Material Modeling with the Visco-Plastic Self-Consistent (VPSC) Approach: Theory and Practical Applications provides readers with knowledge of material viscoplasticity and robust modeling approaches for predicting plastic deformation of crystal aggregates. Visco-Plastic Self-Consistent (VPSC) is the identifier of a computer code developed for the specific mechanical regime addressed (visco-plastic: VP) and the approach used (self-consistent: SC) meant to simulate large plastic deformation of aggregates, thermo-elastic material deformation, as well as predict stress-strain response, texture evolution of aggregates and stress-strain state inside grains. This approach is very versatile and able to tackle arbitrary material symmetry (cubic, hexagonal, trigonal, orthorhombic, triclinic), twinning, and multiphase aggregates. It accounts for hardening, reorientation and shape change of individual grains, and can be applied to the deformation of metals, inter-metallics and geologic aggregates. Readers will have access to a companion website where they can download code and modify its input/output or add subroutines covering specific simulation research needs. - Highlights a modeling approach that allows readers to accurately predict stress-strain response, texture evolution of aggregates, and internal stress states inside grains while also accounting for hardening, reorientation and shape change of individual grains - Features modeling techniques that can be applied to the deformation of metals, inter-metallics and geologic aggregates - Covers the theoretical aspects of homogeneous effective medium models as they apply to the simulation of plasticity and elasticity - Provides several practical examples and applications of materials of different symmetry subjected to different deformation conditions
