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Numerically Efficient Gradient Crystal Plasticity with a Grain Boundary Yield Criterion and Dislocation-based Work-Hardening

Author : Wulfinghoff, Stephan
Publisher : KIT Scientific Publishing
Page : 288 pages
File Size : 15,95 MB
Release : 2014-12-10
Category : Technology (General)
ISBN : 3731502453

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This book is a contribution to the further development of gradient plasticity. Several open questions are addressed, where the efficient numerical implementation is particularly focused on. Thebook inspects an equivalent plastic strain gradient plasticity theory and a grain boundary yield model. Experiments can successfully be reproduced. The hardening model is based on dislocation densities evolving according to partial differential equations taking into account dislocation transport.

Numerically Efficient Gradient Crystal Plasticity With a Grain Boundary Yield Criterion and Dislocation-based Work-Hardening

Author : Stephan Wulfinghoff
Publisher :
Page : 282 pages
File Size : 28,18 MB
Release : 2020-10-09
Category : Science
ISBN : 9781013280351

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This book is a contribution to the further development of gradient plasticity. Several open questions are addressed, where the efficient numerical implementation is particularly focused on. Thebook inspects an equivalent plastic strain gradient plasticity theory and a grain boundary yield model. Experiments can successfully be reproduced. The hardening model is based on dislocation densities evolving according to partial differential equations taking into account dislocation transport. This work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the work's license are retained by the author or authors.

Single-crystal Gradient Plasticity with an Accumulated Plastic Slip: Theory and Applications

Author : Eric Bayerschen
Publisher : KIT Scientific Publishing
Page : 278 pages
File Size : 41,98 MB
Release : 2016
Category : Technology (General)
ISBN : 3731506068

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In experiments on metallic microwires, size effects occur as a result of the interaction of dislocations with, e.g., grain boundaries. In continuum theories this behavior can be approximated using gradient plasticity. A numerically efficient geometrically linear gradient plasticity theory is developed considering the grain boundaries and implemented with finite elements. Simulations are performed for several metals in comparison to experiments and discrete dislocation dynamics simulations.

A Gradient Crystal Plasticity Theory Based on an Extended Energy Balance

Author : Prahs, Andreas
Publisher : KIT Scientific Publishing
Page : 182 pages
File Size : 16,46 MB
Release : 2020-09-15
Category : Technology & Engineering
ISBN : 3731510251

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An overview of different methods for the derivation of extended continuum models is given. A gradient plasticity theory is established in the context of small deformations and single slip by considering the invariance of an extended energy balance with respect to Euclidean transformations, where the plastic slip is considered as an additional degree of freedom. Thermodynamically consistent flow rules at the grain boundary are derived. The theory is applied to a two- and a three-phase laminate.

Work-hardening of dual-phase steel

Author : Rieger, Florian
Publisher : KIT Scientific Publishing
Page : 202 pages
File Size : 49,40 MB
Release : 2016-07-01
Category : Technology (General)
ISBN : 3731505134

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Dual-phase steels exhibit good mechanical properties due to a microstructure of strong martensitic inclusions embedded in a ductile ferritic matrix. This work presents a two-scale model for the underlying work-hardening effects; such as the distinctly different hardening rates observed for high-strength dual-phase steels. The model is based on geometrically necessary dislocations and comprises the average microstructural morphology as well as a direct interaction between the constituents.

Deep material networks for efficient scale-bridging in thermomechanical simulations of solids

Author : Gajek, Sebastian
Publisher : KIT Scientific Publishing
Page : 326 pages
File Size : 25,17 MB
Release : 2023-08-25
Category :
ISBN : 3731512785

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We investigate deep material networks (DMN). We lay the mathematical foundation of DMNs and present a novel DMN formulation, which is characterized by a reduced number of degrees of freedom. We present a efficient solution technique for nonlinear DMNs to accelerate complex two-scale simulations with minimal computational effort. A new interpolation technique is presented enabling the consideration of fluctuating microstructure characteristics in macroscopic simulations.

Homogenization and materials design of mechanical properties of textured materials based on zeroth-, first- and second-order bounds of linear behavior

Author : Lobos Fernández, Mauricio
Publisher : KIT Scientific Publishing
Page : 224 pages
File Size : 18,49 MB
Release : 2018-07-09
Category : Materials
ISBN : 3731507706

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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.

Two-Scale Thermomechanical Simulation of Hot Stamping

Author : Neumann, Rudolf
Publisher : KIT Scientific Publishing
Page : 270 pages
File Size : 25,93 MB
Release : 2017-10-27
Category : Technology (General)
ISBN : 3731507145

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Hot stamping is a hot drawing process which takes advantage of the polymorphic steel behavior to produce parts with a good strength-to-weight ratio. For the simulation of the hot stamping process, a nonlinear two-scale thermomechanical model is suggested and implemented into the FE tool ABAQUS. Phase transformation and transformation induced plasticity effects are taken into account. The simulation results regarding the final shape and residual stresses are compared to experimental findings.

Thermomechanical Modeling and Experimental Characterization of Sheet Molding Compound Composites

Author : Lang, Juliane
Publisher : KIT Scientific Publishing
Page : 250 pages
File Size : 22,53 MB
Release : 2023-06-28
Category :
ISBN : 3731512327

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The aim of this work is to model and experimentally characterize the anisotropic material behavior of SMC composites on the macroscale with consideration of the microstructure. Temperature-dependent thermoelastic behavior and failure behavior are modeled and the corresponding material properties are determined experimentally. Additionally, experimental biaxial damage investigations are performed. A parameter identification merges modeling and experiments and validates the models.

A computational multi-scale approach for brittle materials

Author : Ernesti, Felix
Publisher : KIT Scientific Publishing
Page : 264 pages
File Size : 36,22 MB
Release : 2023-04-17
Category : Technology & Engineering
ISBN : 3731512858

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Materials of industrial interest often show a complex microstructure which directly influences their macroscopic material behavior. For simulations on the component scale, multi-scale methods may exploit this microstructural information. This work is devoted to a multi-scale approach for brittle materials. Based on a homogenization result for free discontinuity problems, we present FFT-based methods to compute the effective crack energy of heterogeneous materials with complex microstructures.