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Interplay of martensitic phase trans...

Richards, Andrew Walter.

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Interplay of martensitic phase transformation and plastic slip in polycrystals.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Interplay of martensitic phase transformation and plastic slip in polycrystals./
Author:	Richards, Andrew Walter.
Description:	166 p.
Notes:	Source: Dissertation Abstracts International, Volume: 74-10(E), Section: B.
Contained By:	Dissertation Abstracts International74-10B(E).
Subject:	Engineering, Mechanical. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3565553
ISBN:	9781303154508

Interplay of martensitic phase transformation and plastic slip in polycrystals.
Richards, Andrew Walter.

Interplay of martensitic phase transformation and plastic slip in polycrystals. - 166 p.

Source: Dissertation Abstracts International, Volume: 74-10(E), Section: B.

Thesis (Ph.D.)--California Institute of Technology, 2013.

Inspired by key experimental and analytical results regarding Shape Memory Alloys (SMAs), we propose a modelling framework to explore the interplay between martensitic phase transformations and plastic slip in polycrystalline materials, with an eye towards computational efficiency. The resulting framework uses a convexified potential for the internal energy density to capture the stored energy associated with transformation at the meso-scale, and introduces kinetic potentials to govern the evolution of transformation and plastic slip. The framework is novel in the way it treats plasticity on par with transformation.

ISBN: 9781303154508Subjects--Topical Terms:

783786
Engineering, Mechanical.

Interplay of martensitic phase transformation and plastic slip in polycrystals.
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020 $a 9781303154508
035 $a (MiAaPQ)AAI3565553
035 $a AAI3565553
040 $a MiAaPQ $c MiAaPQ
100 1 $a Richards, Andrew Walter. $3 2093122
245 1 0 $a Interplay of martensitic phase transformation and plastic slip in polycrystals.
300 $a 166 p.
500 $a Source: Dissertation Abstracts International, Volume: 74-10(E), Section: B.
500 $a Adviser: Kaushik Bhattacharya.
502 $a Thesis (Ph.D.)--California Institute of Technology, 2013.
520 $a Inspired by key experimental and analytical results regarding Shape Memory Alloys (SMAs), we propose a modelling framework to explore the interplay between martensitic phase transformations and plastic slip in polycrystalline materials, with an eye towards computational efficiency. The resulting framework uses a convexified potential for the internal energy density to capture the stored energy associated with transformation at the meso-scale, and introduces kinetic potentials to govern the evolution of transformation and plastic slip. The framework is novel in the way it treats plasticity on par with transformation.
520 $a We implement the framework in the setting of anti-plane shear, using a staggered implicit/explict update: we first use a Fast-Fourier Transform (FFT) solver based on an Augmented Lagrangian formulation to implicitly solve for the full-field displacements of a simulated polycrystal, then explicitly update the volume fraction of martensite and plastic slip using their respective stick-slip type kinetic laws. We observe that, even in this simple setting with an idealized material comprising four martensitic variants and four slip systems, the model recovers a rich variety of SMA type behaviors. We use this model to gain insight into the isothermal behavior of stress-stabilized martensite, looking at the effects of the relative plastic yield strength, the memory of deformation history under non-proportional loading, and several others.
520 $a We extend the framework to the generalized 3-D setting, for which the convexified potential is a lower bound on the actual internal energy, and show that the fully implicit discrete time formulation of the framework is governed by a variational principle for mechanical equilibrium. We further propose an extension of the method to finite deformations via an exponential mapping. We implement the generalized framework using an existing Optimal Transport Mesh-free (OTM) solver. We then model the alpha-gamma and alpha-epsilon transformations in pure iron, with an initial attempt in the latter to account for twinning in the parent phase. We demonstrate the scalability of the framework to large scale computing by simulating Taylor impact experiments, observing nearly linear (ideal) speed-up through 256 MPI tasks. Finally, we present preliminary results of a simulated Split-Hopkinson Pressure Bar (SHPB) experiment using the alpha--epsilon model.
590 $a School code: 0037.
650 4 $a Engineering, Mechanical. $3 783786
650 4 $a Plastics Technology. $3 1023683
690 $a 0548
690 $a 0795
710 2 $a California Institute of Technology. $b Engineering and Applied Science. $3 2093123
773 0 $t Dissertation Abstracts International $g 74-10B(E).
790 $a 0037
791 $a Ph.D.
792 $a 2013
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3565553