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Phase field modelling in octave

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Hi I tried to code a basic phase field model for fracture in octave.

It doesn't seem to converge to the correct load. It fails later.

Also mesh refinement did not improve the results.

The link to the GIT is here

https://github.com/dontcallmesuren/Phase-field-modelling.git

 

Any idea where I am wrong?

Ping me. Thanks in advance.

phase field modelling

Hi I tried to code a basic phase field model for fracture in octave.

It doesn't seem to converge to the correct load. It fails later.

Also mesh refinement did not improve the results.

The link to the GIT is here

https://github.com/dontcallmesuren/Phase-field-modelling.git

Any idea where I am wrong?

Ping me. Thanks in advance.

mohsenzaeem's picture

An elastic phase field model for thermal oxidation of metals: Application to zirconia

http://www.sciencedirect.com/science/article/pii/S0927025614002031

Abstacrt: A multi-phase field model was developed for non-selective oxidation of metals which captures both the oxidation kinetics and stress generation. Phase field formulation involved a non-conserved phase field variable as the marker for the metallic substrate, oxide scale, and a fluid phase containing oxygen, and a conserved phase field variable representing the concentration of oxygen.

Elliptic crack instead of line crack in Phase-field method

What should be the crack initial condition in phase field fracture simulation?

By using phi=0 (broken phase) for one line segment of nodes  crack can
be specified. but with the loading applied we expect some crack opening
displacement. now as there is only one node specifying both upper and
lower crack faces displacements +u and -u at that node will be zero. 

Amir Abdollahi's picture

Three-dimensional simulation of crack propagation in ferroelectric polycrystals: Effect of combined toughening mechanisms

We simulate the fracture processes of ferroelectric polycrystals in
three dimensions using a phase-field model. In this model, the grain
boundaries, cracks and ferroelectric domain walls are represented in a
diffuse way by three phase-fields. We thereby avoid the difficulty of
tracking the interfaces in three dimensions. The resulting model can
capture complex interactions between the crack and the polycrystalline
and ferroelectric domain  microstructures. The simulation results show
the effect of the microstructures on the fracture response of the
material. Crack deflection, crack bridging, crack branching and
ferroelastic domain switching are observed to act as the main fracture
toughening mechanisms in ferroelectric polycrystals. Our fully 3-D

Amir Abdollahi's picture

Conducting crack propagation driven by electric fields in ferroelectric ceramics

This is a recent article in Acta Materialia on the propagation of conducting cracks in ferroelectric ceramics

Title: Conducting crack propagation driven by electric fields in ferroelectric ceramics

Authors: Amir Abdollahi and Irene Arias, Universitat Politecnica de Catalunya (UPC), Barcelona

Abstract:

mohsenzaeem's picture

Postdoctoral position in computational materials science

A postdoctoral position is available in the area of phase field modeling of solidification/phase transformation in the Department of Materials Science and Engineering at Missouri University of Science and Technology (formerly University of Missouri-Rolla). MSE program at Missouri S&T is one of the largest and most respected MSE programs in the US
(http://mse.mst.edu).

mohsenzaeem's picture

A Ph.D. student (RA) position is available for the Spring 2013 in the MSE Department at Missouri S&T

There is a PhD (RA) position available starting in the spring 2013 in the Department of Materials Science and Engineering (MSE) at Missouri University of Science and Technology (Missouri S&T- formerly known as University of Missouri-Rolla).MSE program at Missouri S&T is one of the largest and most respected MSE programs in the US (http://mse.mst.edu).

The Ph.D. research project is about developing a 3D elastic-plastic-phase-field model for simulating solidification microstructures.

Amir Abdollahi's picture

Phase-field modeling of crack propagation in piezoelectric and ferroelectric materials

This is an accepted manuscript in Journal of the Mechanics and Physics of Solids

Title: Phase-field modeling of crack propagation in piezoelectric and ferroelectric materials with different electromechanical crack conditions

Authors: Amir Abdollahi and Irene Arias, Universitat Politecnica de Catalunya (UPC), Barcelona

 

Abstract:

Amir Abdollahi's picture

Crack initiation patterns at electrode edges in multilayer ferroelectric actuators

This is the preprint of an article that will appear in Smart Materials and Structures (SMS)

Title: Crack initiation patterns at electrode edges in multilayer ferroelectric actuators

Authors: Amir Abdollahi and Irene Arias, Universitat Politecnica de Catalunya (UPC), Barcelona

 

Abstract:

Amir Abdollahi's picture

Numerical simulation of intergranular and transgranular crack propagation in ferroelectric polycrystals

This is the preprint of an article that will appear in International Journal of Fracture (IJF)

Title: Numerical simulation of intergranular and transgranular crack propagation in ferroelectric polycrystals

Authors: Amir Abdollahi and Irene Arias, Universitat Politecnica de Catalunya (UPC), Barcelona

 

 

Abstract:

Amir Abdollahi's picture

Phase-field simulation of anisotropic crack propagation in ferroelectric single crystals

This is the preprint of an article that will appear in Modelling and Simulation in Materials Science and Engineering (MSMSE)

Title: Phase-field simulation of anisotropic crack propagation in ferroelectric single crystals: effect of microstructure on the fracture process

Authors: Amir Abdollahi and Irene Arias, Universitat Politecnica de Catalunya (UPC), Barcelona

 

 

Abstract:

Mogadalai Gururajan's picture

Elastic stress driven phase inversion

A typical two phase microstructure consists of a topologically continuous `matrix' phase in which islands of `precipitate' phase are embedded. Usually, the matrix phase is also the majority phase in terms of volume fraction. However, sometimes this relationship between the volume fraction and topology is reversed, and this reversal is known as phase inversion. Such a phase inversion can be driven by an elastic moduli mismatch in two-phase solid systems. In this paper (submitted to Philosophical magazine), we show phase inversion, and the effect of the elastic moduli mismatch and elastic anisotropy on such inversion.

Mogadalai Gururajan's picture

Elastic stress driven rafting

During solid-solid phase transformations elastic stresses arise due to a difference in lattice parameters between the constituent phases. These stresses have a strong influence on the resultant microstructure and its evolution; more specifically, if there be externally applied stresses, the interaction between the applied and the transformation stresses can lead to rafting.

Mogadalai Gururajan's picture

Microstructural evolution in elastically inhomogeneous systems

I am very happy to be part of iMechanica, and what best way to start than post some stuff that I have been doing recently. I received my PhD for a thesis I submitted to the Department of Materials Engineering (formerly Department of Metallurgy), Indian Institute of Science, Bangalore 560012 INDIA titled Elastic Inhomgeneity Effects on microstructures: a phase field study.

A mismatch in elastic moduli is the primary driving force for certain microstructural changes; for example, such a mismatch can result in rafting, phase inversion, and thin film instability.

My thesis is based on a phase field model, which is developed for the study of microstructural evolution in elastically inhomogeneous systems which evolve under prescribed traction boundary conditions; however, we show that it is also capable of simulating systems which are evolving under prescribed displacements.

The (iterative) Fourier based methodology that we adopt for the solution of the equation of mechanical equilibrium is characterised by comparing our numerical elastic solutions with corresponding analytical sharp interface results; in addition to being accurate, this solution methodology is also very efficient. We integrate this solution methodology into our phase field model, to study microstructural evolution in systems with dilatational misfit.

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