Application of non-convex rate dependent gradient plasticity to the modeling and simulation of inelastic microstructure development and inhomogeneous material behavior

Date

2013-12-01

Author

Klusemann, Benjamin
Yalçınkaya, Tuncay
Geers, M. G. D.
Svendsen, Bob

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

169
views

0
downloads

In this study, a two-dimensional rate-dependent gradient crystal plasticity model for non-convex energetic hardening is formulated and applied to the simulation of inelastic microstructure formation. In particular, non-convex hardening is modeled via a Landau-Devonshire potential for self-hardening and two interaction-matrix-based forms for latent hardening. The algorithmic formulation and the numerical implementation treats the displacement and the glide-system slips as the primary field variables. The numerical simulations are carried out for the case of tensile loading with periodic displacement and slip boundary conditions. The results for the formation of inelastic microstructures and their evolution under mechanical loading are illustrated together with the macroscopic stress-strain responses. (C) 2013 Elsevier B. V. All rights reserved.

Subject Keywords

General Physics and Astronomy, General Materials Science, General Computer Science, Mechanics of Materials, General Chemistry, Computational Mathematics

URI

https://hdl.handle.net/11511/40549

Journal

COMPUTATIONAL MATERIALS SCIENCE

DOI

https://doi.org/10.1016/j.commatsci.2013.04.016

Collections

Department of Aerospace Engineering, Article

Suggestions

OpenMETU
Core

Analysis and calculation of the magnetization, magnetic susceptibility and the specific heat close to phase transitions in heterometallics Dugan, E. Kilit; Yurtseven, Hasan Hamit (Elsevier BV, 2019-10-01) The temperature dependence of the magnetization for DMFeNi and DMFeCu is calculated by the molecular field theory and it is also analyzed as functions of temperature and the magnetic field by the power-law formulae close to the phase transitions in these compounds by using the observed data from the literature. From the analysis, values of the critical exponents beta (temperature-induced order parameter at H = 100 Oe) and delta (field-induced order parameter at T = 2 K) are deduced. Also, using the observed...
On tension-compression asymmetry in ultrafine-grained and nanocrystalline metals Gürses, Ercan (Elsevier BV, 2010-12-01) We present present a physically motivated computational study explaining the tension/compression (T/C) asymmetry phenomenon in nanocrystalline (nc) and ultrafine-grained (ufg) face centered cubic (fcc) metals utilizing a variational constitutive model where the nc-metal is modeled as a two-phase material consisting of a grain interior phase and a grain boundary affected zone (GBAZ). We show that the existence of voids and their growth in GBAZ renders the material pressure sensitivity due to porous plasticit...
Analyzing Fe-Zn system using molecular dynamics, evolutionary neural nets and multi-objective genetic algorithms Bhattacharya, Baidurya; Kumar, G. R. Dinesh; Agarwal, Akash; Erkoç, Şakir; Singh, Arunima; Chakraborti, Nirupam (Elsevier BV, 2009-10-01) Failure behavior of Zn coated Fe is simulated through molecular dynamics (MD) and the energy absorbed at the onset of failure along with the corresponding strain of the Zn lattice are computed for different levels of applied shear rate. temperature and thickness. Data-driven models are constructed by feeding the MD results to an evolutionary neural network. The outputs of these neural networks are utilized to carry out a multi-objective optimization through genetic algorithms, where the best possible tradeo...
Genetic algorithm-Monte Carlo hybrid geometry optimization method for atomic clusters Dugan, Nazim; Erkoç, Şakir (Elsevier BV, 2009-03-01) In this work, an evolutionary type global optimization method for identifying the stable geometries of atomic clusters is developed and applied to carbon clusters for testing purpose. Monte Carlo (MC) type local optimization is used between genetic algorithm (GA) steps together with a special Mutation operation designed for the Cluster geometry optimization problem. Cluster geometries and the corresponding potential energies for carbon obtained with this GA-MC hybrid method are compared with available resul...
Three dimensional computational analysis of fatigue crack propagation in functionally graded materials Sabuncuoglu, Baris; Dağ, Serkan; YILDIRIM, BORA (Elsevier BV, 2012-02-01) This article proposes a new finite elements based three dimensional method developed to study the phenomenon of fatigue crack propagation in functionally graded materials (FGMs). The particular problem examined in detail is that of an initially-elliptical crack located in a functionally graded medium, subjected to mode I cyclic loading. The crack is modelled by employing three dimensional finite elements; and the stress intensity factors (SIFs) around the crack front are computed by the application of the d...

Citation Formats

B. Klusemann, T. Yalçınkaya, M. G. D. Geers, and B. Svendsen, “Application of non-convex rate dependent gradient plasticity to the modeling and simulation of inelastic microstructure development and inhomogeneous material behavior,” COMPUTATIONAL MATERIALS SCIENCE, pp. 51–60, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/40549.