Publication

Continuous atomic displacements and lattice distortion during fcc–bcc martensitic transformation

Cyril Cayron
2015
Journal Articles

Abstract

The continuous matrices of atomic displacements and lattice distortion from face-centered-cubic (fcc) to body-centered-cubic (bcc) phases compatible with the hard-sphere geometry of iron atoms are calculated for different possible final orientation relationships (ORs), such as Bain, Pitsch and Kurdjumov-Sachs (KS). The angular distortion introduced in the calculations appears as a natural order parameter of the fcc bcc transitions. The average atomic displacement is lower with Pitsch and KS ORs than for Bain; one of these two distortions probably constitutes the natural mechanism for stress-free isolated small crystals. For matrix-embedded transformations that occur in bulk steels, the distortion associated with KS OR seems very appropriate: it has special mathematical properties and can explain the (225) habit planes with a simple O-lattice criterion. From these calculations, the fcc bcc martensitic transformation appears to be "angular distortive", and not of "shear" type as usually assumed. (C) 2015 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.

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https://infoscience.epfl.ch/entities/publication/285c2fb6-8b46-4288-bdda-d47f18f80af2

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Cyril Cayron
2015
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/285c2fb6-8b46-4288-bdda-d47f18f80af2

About this result

Related concepts (32)

Cubic crystal system

In crystallography, the cubic (or isometric) crystal system is a crystal system where the unit cell is in the shape of a cube. This is one of the most common and simplest shapes found in crystals and minerals. There are three main varieties of these crystals: Primitive cubic (abbreviated cP and alternatively called simple cubic) Body-centered cubic (abbreviated cI or bcc) Face-centered cubic (abbreviated cF or fcc) Note: the term fcc is often used in synonym for the cubic close-packed or ccp structure occurring in metals.

Crystal structure

In crystallography, crystal structure is a description of the ordered arrangement of atoms, ions, or molecules in a crystalline material. Ordered structures occur from the intrinsic nature of the constituent particles to form symmetric patterns that repeat along the principal directions of three-dimensional space in matter. The smallest group of particles in the material that constitutes this repeating pattern is the unit cell of the structure.

Austenite

Austenite, also known as gamma-phase iron (γ-Fe), is a metallic, non-magnetic allotrope of iron or a solid solution of iron with an alloying element. In plain-carbon steel, austenite exists above the critical eutectoid temperature of 1000 K (727 °C); other alloys of steel have different eutectoid temperatures. The austenite allotrope is named after Sir William Chandler Roberts-Austen (1843–1902); it exists at room temperature in some stainless steels due to the presence of nickel stabilizing the austenite at lower temperatures.

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Continuous atomic displacements and lattice distortion during fcc–bcc martensitic transformation

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