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

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

Author: Wulfinghoff, Stephan

Publisher: KIT Scientific Publishing

Published: 2014-12-10

Total Pages: 288

ISBN-13: 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

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

Author: Stephan Wulfinghoff

Publisher:

Published: 2020-10-09

Total Pages: 282

ISBN-13: 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

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

Author: Eric Bayerschen

Publisher: KIT Scientific Publishing

Published: 2016

Total Pages: 278

ISBN-13: 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

A Gradient Crystal Plasticity Theory Based on an Extended Energy Balance PDF

Author: Prahs, Andreas

Publisher: KIT Scientific Publishing

Published: 2020-09-15

Total Pages: 182

ISBN-13: 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

Work-hardening of dual-phase steel PDF

Author: Rieger, Florian

Publisher: KIT Scientific Publishing

Published: 2016-07-01

Total Pages: 202

ISBN-13: 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

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

Author: Gajek, Sebastian

Publisher: KIT Scientific Publishing

Published: 2023-08-25

Total Pages: 326

ISBN-13: 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.

Thermomechanical Modeling and Experimental Characterization of Sheet Molding Compound Composites

Thermomechanical Modeling and Experimental Characterization of Sheet Molding Compound Composites PDF

Author: Lang, Juliane

Publisher: KIT Scientific Publishing

Published: 2023-06-28

Total Pages: 250

ISBN-13: 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

A computational multi-scale approach for brittle materials PDF

Author: Ernesti, Felix

Publisher: KIT Scientific Publishing

Published: 2023-04-17

Total Pages: 264

ISBN-13: 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.

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