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This work generalizes our previous works on fcc-bcc martensitic transformations to the larger family of transformations in the fcc-bcc-hcp system and to fcc-fcc mechanical twinning. The analytical expressions of the atomic displacements and…

Materials Science · Physics 2016-05-05 Cyril Cayron

We have performed molecular dynamic simulations of a Martensitic bcc->hcp transformation in a homogeneous system. The system evolves into three Martensitic variants, sharing a common nearest neighbor vector along a bcc <111> direction, plus…

Materials Science · Physics 2009-11-07 J. R. Morris , K. M. Ho

The summary of the models offered by the author revealing features of the physical mechanisms controlling processes of martensite crystal formation is resulted. The rapid growth of a cooling martensite crystal is considered as a…

Other Condensed Matter · Physics 2007-05-23 M. P. Kashchenko

From our previous models of martensitic transformation, the continuous matrices of atomic displacements and lattice deformations from face-centred-cubic (fcc) to body centred-cubic (bcc) phases are calculated in agreement with different…

Materials Science · Physics 2015-06-23 Cyril Cayron

We present a framework to segregate the roles of elastic and non-elastic deformations in the examination of real-space experiments of solid-solid Martensitic transitions. The Martensitic transformation of a body-centred-tetragonal(BCT) to a…

Soft Condensed Matter · Physics 2017-05-03 Saswati Ganguly , Priti S. Mohanty , Peter Schurtenberger , Surajit Sengupta , Anand Yethiraj

By introducing appropriate lattice parameters for a bi-lattice smoothly connecting the hexagonal close-packed (hcp) with the cuboidal structures, namely the body-centered (bcc) and the face centered cubic (fcc) lattices, we were able to map…

Materials Science · Physics 2025-02-17 Andres Robles-Navarro , Shaun Cooper , Odile R. Smits , Peter Schwerdtfeger

This work presents a detailed experimental-numerical analysis of a low-carbon dual-phase steel microstructure, revealing evidence of significant anisotropic plastic deformation in lath martensite. A careful determination of the habit plane…

Materials Science · Physics 2022-11-16 V. Rezazadeh , R. H. J. Peerlings , T. Vermeij , J. P. M. Hoefnagels , F. Maresca , M. G. D. Geers

Cofactor Conditions (CCs) are geometric compatibility conditions mathematically derived from the crystallographic theory of martensitic phase transformation. The CCs guarantee compatible interfaces between the austenite and the parallelled…

Materials Science · Physics 2025-04-01 Hanlin Gu , Fan Feng

In the current work considering the wave model of the crystal growth control, an influence of heterogeneity of the medium on the forming martensite crystal s profile was examined. The considering of the heterogeneity is provided with the…

Materials Science · Physics 2010-03-24 V. Chashchina , M. Kashchenko , S. Vikharev

Titanium and its alloys undergo temperature-driven martensitic phase transformation leading to the development of complex microstructures at mesoscale. Optimizing the mechanical properties of these materials requires an understanding of the…

Materials Science · Physics 2022-11-29 C. Baruffi , A. Finel , Y. Le Bouar , B. Bacroix , O. U. Salman

Many materials such as martensitic or ferromagnetic crystals are observed to be in metastable states exhibiting a fine-scale, structured spatial oscillation called microstructure; and hysteresis is observed as the temperature, boundary…

Numerical Analysis · Mathematics 2025-10-20 Mitchell Luskin

Using ab-initio density functional theory we study the role of interstitial hydrogen on the energetics of the phase transformation of iron from bcc to hcp along Bain's pathway. The impurity creates an internal stress field that can be…

Materials Science · Physics 2011-06-03 A. Castedo , J. Sanchez , J. Fullea , M. C. Andrade , P. L. de Andres

We study a simplified two-dimensional model for a cubic-to-orthorhombic phase transition occuring in certain shape-memory-alloys. In the low temperature regime the linear theory of elasticity predicts various possible patterns of martensite…

Analysis of PDEs · Mathematics 2016-06-29 Angkana Rüland

We present a unifying description for the martensitic transformation of steel that accounts for important experimentally observable features of the transformation namely, the Neumann bands, the interfacial (habit) plane between the…

Materials Science · Physics 2020-09-23 Félix Therrien , Vladan Stevanović

A simple model for the angular dependent interaction between C_60 molecules in face centered cubic lattice is proposed and analyzed by use of the rigorous bifurcation approach. The quantitative results for the orientational phase transition…

Condensed Matter · Physics 2007-05-23 T. I. Schelkacheva , E. E. Tareyeva

The martensitic transformation is one of the most important phenomena in metals science due to its essential contribution to the strength of steels and most engineering alloys. Yet the basic, atomistic mechanisms leading to martensite…

Materials Science · Physics 2020-01-31 Shivraj Karewar , Astrid Elzas , Jilt Sietsma , Maria J. Santofimia

It is often observed that martensitic microstructures in adjacent polycrystal grains are related. For example, micrographs of Arlt exhibit propagation of layered structures across grain boundaries in the cubic-to-tetragonal phase…

Materials Science · Physics 2017-08-11 John M. Ball , Carsten Carstensen

Using a modified Lennard-Jones model for elliptic particles and spherical impurities, we present results of molecular dynamics simulation in two dimensions. In one-component systems of elliptic particles, we find an orientation phase…

Soft Condensed Matter · Physics 2012-03-13 Kyohei Takae , Akira Onuki

We propose a mathematical description of crystal structure: underlying translational periodicity together with the distinct atomic positions up to the symmetry operations in the unit cell. It is consistent with the international table of…

Materials Science · Physics 2020-10-12 Mostafa Karami , Nobumichi Tamura , Yong Yang , Xian Chen

We study a system of classical particles in two dimensions interacting through an isotropic pair potential that displays a martensitic phase transition between a triangular and a rhomboidal structure upon the change of a single parameter.…

Materials Science · Physics 2015-09-09 E. A. Jagla
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