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Related papers: An investigation of non-planar austenite-martensit…

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Ball and Carstensen theoretically investigated the possibility of the occurrence of non-classical austenite-martensite interfaces and studied the cubic-to-tetragonal case extensively. Here, we aim to present an analysis of such interfaces…

Analysis of PDEs · Mathematics 2011-09-01 J. M. Ball , K. Koumatos , H. Seiner

This paper investigates the conditions necessary for the elimination of transition layers at interfaces involving compound domains, extending the classical framework of cofactor conditions. Although cofactor conditions enable stress-free…

Materials Science · Physics 2025-08-01 Mohd Tahseen , Vivekanand Dabade

Needle-like twins are observed experimentally within the transition layer at the martensite-twinned martensite interface. We utilize a phase-field approach to investigate this microstructure. Our goal is to simulate the morphology of the…

Materials Science · Physics 2023-09-06 Seyedshoja Amini , Mohsen Rezaee-Hajidehi , Stanislaw Stupkiewicz

The forward transformation from face centered cubic austenite to body centered cubic/tetragonal martensite in ferrous alloys can significantly in- fluence the microstructure and mechanical properties of the material. Inferring possible high…

Materials Science · Physics 2018-12-05 Alexander F. Brust , Stephen R. Niezgoda , Victoria A. Yardley , Eric J. Payton

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

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

Contactless, laser-based resonant ultrasound spectroscopy was utilized to monitor changes in elastic properties in single-crystalline NiTi shape memory alloy. It was observed that the elastic behavior of the temperature-induced B19$^\prime$…

Using classical molecular dynamics simulations, we study austenite to ferrite phase transformation in iron, focusing on the role of interface morphology. We compare two different morphologies; a \textit{flat} interface in which the two…

Materials Science · Physics 2022-09-07 Pawan Kumar Tripathi , Shivraj Karewar , Yu-Chieh Lo , Somnath Bhowmick

We study the mechanics of temperature-driven reconstructive martensitic transformations in crystalline materials, within the framework of nonlinear elasticity theory. We focus on the prototypical case of the square-hexagonal transition in…

Materials Science · Physics 2025-05-23 Edoardo Arbib , Noemi Barrera , Paolo Biscari , Giovanni Zanzotto

The analytical understanding of microstructures arising in martensitic phase transitions relies usually on the study of stress-free interfaces between different variants of martensite. However, in the literature there are experimental…

Mathematical Physics · Physics 2020-09-08 Francesco Della Porta

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 variational model based on non-linear elasticity we investigate whether in a cubic-to-tetragonal phase transformation it is energetically preferable to nucleate martensite within austenite. Under minimal growth assumptions on the…

Materials Science · Physics 2016-05-02 Anton Muehlemann

The reverse martensitic ("austenitic") transformation upon heating of equiatomic nickel-titanium nanoparticles with diameters between 4 and 17 nm is analyzed by means of molecular-dynamics simulations with a semi-empirical model potential.…

Materials Science · Physics 2022-01-04 Daniel Mutter , Peter Nielaba

In situ neutron diffraction of the uniaxial tension test was used to study the effect of the surrounding matrix microstructure on the mechanical stability of retained austenite in high-carbon bearing steels. Comparing the samples with…

Materials Science · Physics 2018-07-18 Rohit Voothaluru , Vikram Bedekar , Dunji Yu , Qingge Xie , Ke An , R Scott Hyde

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

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

Motivated by experimental observations of H. Seiner et al., we study the nucleation of austenite in a single crystal of a CuAlNi shape-memory alloy stabilized as a single variant of martensite. In the experiments the nucleation process was…

Analysis of PDEs · Mathematics 2016-01-27 John Ball , Konstantinos Koumatos

Shape memory alloys inherit their macroscopic properties from their mesoscale microstructure originated from the martensitic phase transformation. In a cubic to orthorhombic transition, a single variant of marten- site can have a compatible…

Materials Science · Physics 2020-09-23 Oguz Umut Salman , Alphonse Finel , Remi Delville , Dominique Schryvers

A thin flat rectangular plate supported on its edges and subjected to in-plane loading exhibits stable post-buckling behaviour. However, the introduction of a nonlinear (softening) elastic foundation may cause the response to become…

Pattern Formation and Solitons · Physics 2016-03-18 M. Khurram Wadee , David J. B. Lloyd , Andrew P. Bassom

We have performaed molecular dynamics simulations of Fe(80)Ni(20) alloys using an inter-atomic potential of the EAM-type which allows the simulation of the martensite-austenite transition. We present results, showing the development of an…

Materials Science · Physics 2008-02-03 R. Meyer , P. Entel
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