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

Single-crystal Gradient Plasticity with an Accumulated Plastic Slip: Theory and Applications
Author: Eric Bayerschen
Publisher: KIT Scientific Publishing
Total Pages: 278
Release: 2016
Genre: Technology (General)
ISBN: 3731506068

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.

Single-crystal Gradient Plasticity With an Accumulated Plastic Slip

Single-crystal Gradient Plasticity With an Accumulated Plastic Slip
Author: Eric Bayerschen
Publisher:
Total Pages: 270
Release: 2020-10-09
Genre: Technology & Engineering
ISBN: 9781013283451

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. 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.

A Gradient Crystal Plasticity Theory Based on an Extended Energy Balance

A Gradient Crystal Plasticity Theory Based on an Extended Energy Balance
Author: Prahs, Andreas
Publisher: KIT Scientific Publishing
Total Pages: 182
Release: 2020-09-15
Genre: Technology & Engineering
ISBN: 3731510251

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.

Modeling of Dislocation - Grain Boundary Interactions in Gradient Crystal Plasticity Theories

Modeling of Dislocation - Grain Boundary Interactions in Gradient Crystal Plasticity Theories
Author: Erdle, Hannes
Publisher: KIT Scientific Publishing
Total Pages: 184
Release: 2022-07-12
Genre: Technology & Engineering
ISBN: 3731511967

A physically-based dislocation theory of plasticity is derived within an extended continuum mechanical context. Thermodynamically consistent flow rules at the grain boundaries are derived. With an analytical solution of a three-phase periodic laminate, dislocation pile-up at grain boundaries and dislocation transmission through the grain boundaries are investigated. For the finite element implementations, numerically efficient approaches are introduced based on accumulated field variables.

Crystal Plasticity Finite Element Methods

Crystal Plasticity Finite Element Methods
Author: Franz Roters
Publisher: John Wiley & Sons
Total Pages: 188
Release: 2011-08-04
Genre: Technology & Engineering
ISBN: 3527642099

Written by the leading experts in computational materials science, this handy reference concisely reviews the most important aspects of plasticity modeling: constitutive laws, phase transformations, texture methods, continuum approaches and damage mechanisms. As a result, it provides the knowledge needed to avoid failures in critical systems udner mechanical load. With its various application examples to micro- and macrostructure mechanics, this is an invaluable resource for mechanical engineers as well as for researchers wanting to improve on this method and extend its outreach.

Finite element simulation of dislocation based plasticity and diffusion in multiphase materials at high temperature

Finite element simulation of dislocation based plasticity and diffusion in multiphase materials at high temperature
Author: Albiez, Jürgen
Publisher: KIT Scientific Publishing
Total Pages: 222
Release: 2019-05-22
Genre: Technology & Engineering
ISBN: 3731509180

A single-crystal plasticity model as well as a gradient crystal plasticity model are used to describe the creep behavior of directionally solidi?ed NiAl based eutectic alloys. To consider the transition from theoretical to bulk strength, a hardening model was introduced to describe the strength of the reinforcing phases. Moreover, to account for microstructural changes due to material ?ux, a coupled diffusional-mechanical simulation model was introduced.

Thermomechanical Modeling and Experimental Characterization of Sheet Molding Compound Composites

Thermomechanical Modeling and Experimental Characterization of Sheet Molding Compound Composites
Author: Lang, Juliane
Publisher: KIT Scientific Publishing
Total Pages: 250
Release: 2023-06-28
Genre:
ISBN: 3731512327

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.

Thermomechanical Mean-Field Modeling and Experimental Characterization of Long Fiber-Reinforced Sheet Molding Compound Composites

Thermomechanical Mean-Field Modeling and Experimental Characterization of Long Fiber-Reinforced Sheet Molding Compound Composites
Author: Kehrer, Maria Loredana
Publisher: KIT Scientific Publishing
Total Pages: 204
Release: 2019-06-13
Genre: Technology & Engineering
ISBN: 3731509245

A discontinuous fiber-reinforced thermoset material produced by the Sheet Molding Compound process is investigated. Due to the process-related fiber orientation distribution, a composite with an anisotropic microstructure is created which crucially affects the mechanical properties. The central objectives are the modeling of the thermoelastic behavior of the composite accounting for the underlying microstructure, and the experimental characterization of the pure resin and the composite material.

A computational multi-scale approach for brittle materials

A computational multi-scale approach for brittle materials
Author: Ernesti, Felix
Publisher: KIT Scientific Publishing
Total Pages: 264
Release: 2023-04-17
Genre: Technology & Engineering
ISBN: 3731512858

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.

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

Deep material networks for efficient scale-bridging in thermomechanical simulations of solids
Author: Gajek, Sebastian
Publisher: KIT Scientific Publishing
Total Pages: 326
Release: 2023-08-25
Genre:
ISBN: 3731512785

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.