Modeling of inelastic microstructure development and inhomogeneous material behavior via non convex rate dependent crystal plasticity

2012-08-19
Svendsen, Bob
Klusemann, Benjamın
Yalçınkaya, Tuncay
Geers, M G D
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 an interaction-matrix-based form for latent hardening. The algorithmic formulation and numerical implementation treats the displacement and glide-system slips as the primary field variables. Example 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 compared and correlated features of the macroscopic stress-strain response such as stress relaxation.

Suggestions

Application of non-convex rate dependent gradient plasticity to the modeling and simulation of inelastic microstructure development and inhomogeneous material behavior
Klusemann, Benjamin; Yalçınkaya, Tuncay; Geers, M. G. D.; Svendsen, Bob (Elsevier BV, 2013-12-01)
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 num...
MODELING OF EVAPORATION FROM A SESSILE CONSTANT SHAPE DROPLET
Akkus, Yigit; ÇETİN, BARBAROS; Dursunkaya, Zafer (2017-08-30)
In this study, a computational model for the evaporation from a sessile liquid droplet fed from the center to keep the diameter of the droplet constant is presented. The continuity, momentum and energy equations are solved with temperature dependent thenno-physical properties using COMSOL Multi-physics. At the surface of the droplet, convective heat and evaporative mass fluxes are assigned. Since the flow field is affected by evaporative flux, an iterative scheme is built and the computation is automated us...
MODELING OF ASYMMETRIC MEMBRANE FORMATION .1. CRITIQUE OF EVAPORATION MODELS AND DEVELOPMENT OF A DIFFUSION EQUATION FORMALISM FOR THE QUENCH PERIOD
Yılmaz, Levent (1986-09-15)
In this paper a review and critique is presented of the mathematical models which have been developed to describe the mass transfer processes occurring during asymmetric membrane formation in polymeric systems. A principal object is to point out several shortcomings of the modelling efforts which have been primarily confined to a description of the evaporation step. This is followed by a detailed discussion of the general mass transfer problem along with the development of a model based on a pseudobinary di...
Use of Activation Time Based Kalman Filtering in Inverse Problem of Electrocardiography
Aydin, Umit; Serinağaoğlu Doğrusöz, Yeşim (2008-11-27)
The goal of this study is to solve inverse problem of electrocardiography (ECG) in terms of epicardial potentials using body surface (torso) potential measurements. The problem is ill-posed and regularization must be applied. Kalman filter is one of the regularization approaches, which includes both spatial and temporal correlations of epicardial potentials. However, in order to use the Kalman filter, one needs the state transition matrix (STM) that models the time evolution of the epicardial potentials. In...
Application of isokinetic sampling technique for local solid densities in upward liquid-solid flows through an annulus
Camçı, Gülden; Özbelge, Ayşe Tülay; Department of Chemical Engineering (2003)
In this study, radial solid density distributions in upward flowing water-feldspar mixtures through a concentric annulus were investigated. Local solid density measurements were performed at a test cross-section in the fully developed flow region of a concentric annulus, which is a part of a closed-loop system consisting of a head tank, a variable speed slurry pump, an orificemeter, a heat exchanger, an annulus, a temperature probe, and a drain line. The solid particles with mean diameters of 72 and 138 ?m ...
Citation Formats
B. Svendsen, B. Klusemann, T. Yalçınkaya, and M. G. D. Geers, “Modeling of inelastic microstructure development and inhomogeneous material behavior via non convex rate dependent crystal plasticity,” presented at the 23rd International Congress on Theoretical and Applied Mechanics (ICTAM) (2012), Beijing, China, 2012, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/71635.