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Related papers: The morphology of lath martensite: a new perspecti…

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A double shear theory is introduced that predicts the commonly observed {5 5 7} habit planes in low-carbon steels. The novelty of this theory is that no parameter fitting is necessary. Instead, the shearing systems are chosen in analogy to…

Materials Science · Physics 2019-10-28 K. Koumatos , A. Muehlemann

Low-alloy steels are constituted of twenty-four variants of lath martensite that exhibit gradients of orientations from Kurdjumov-Sachs (KS) to Nishiyama-Wassermann (NW). They are structured into four packets on each of the common…

Materials Science · Physics 2018-07-17 Cyril Cayron , Annick Baur , Roland Loge

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

In materials that undergo martensitic phase transformation, macroscopic loading often leads to the creation and/or rearrangement of elastic domains. This paper considers an example {involving} a single-crystal slab made from two martensite…

Analysis of PDEs · Mathematics 2022-06-22 Sergio Conti , Robert Kohn , Oleksandr Misiats

The onset of plasticity in quenched martensitic microstructures is characterized by a low initial yield stress followed by an extremely strong initial hardening response, and then a sudden hardening saturation. Literature attributes this…

Materials Science · Physics 2022-11-17 V. Rezazadeh , R. H. J. Peerlings , J. P. M. Hoefnagels , F. Maresca , M. G. D. Geers

Deformation twinning and martensitic transformations are displacive transformations; they are defined by high speed collective displacements of the atoms, the existence of a parent/daughter orientation relationship, and plate or lath…

Materials Science · Physics 2018-07-17 Cyril Cayron

We study the branching of twins appearing in shape memory alloys at the interface between austenite and martensite. In the framework of three-dimensional non-linear elasticity theory, we propose an explicit, low-energy construction of the…

Materials Science · Physics 2020-05-20 Hanus Seiner , Paul Plucinsky , Vivekanand Dabade , Barbora Benesova , Richard D. James

Branching can be observed at the austenite-martensite interface of martensitic phase transformations. For a model problem, Kohn and M\"uller studied a branching pattern with optimal scaling of the energy with respect to its parameters.…

Numerical Analysis · Mathematics 2016-01-07 Patrick Dondl , Behrend Heeren , Martin Rumpf

A formerly developed method aimed at determining the constituents of a merged X-ray pattern doublet was applied to estimate the fact that low-carbon martensite with high concentration of strong carbide-forming elements possesses abnormally…

Materials Science · Physics 2011-08-18 L. S. Kremnev

Martensitic transformation in steels is responsible for their very high strength and has thus been studied for more than one century since the first works of Martens. However, there is not yet simple physical theory. A rigorous…

Materials Science · Physics 2013-08-20 Cyril Cayron

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

Martensite damage in Dual-Phase (DP) steel has been studied extensively, yet, the exact deformation mechanisms that trigger or inhibit damage initiation remain mostly unexplored. Whereas generally assumed to be hard and brittle, lath…

Materials Science · Physics 2023-05-22 T. Vermeij , C. J. A. Mornout , V. Rezazadeh , J. P. M. Hoefnagels

Purpose: The purpose of this work is to apply a recently proposed constitutive model for mechanically induced martensitic transformations to the prediction of transformation loci. Additionally, this study aims to elucidate if a…

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 study microstructure formation in two nonconvex singularly-perturbed variational problems from materials science, one modeling austenite-martensite interfaces in shape-memory alloys, the other one slip structures in the plastic…

Analysis of PDEs · Mathematics 2018-05-01 Sergio Conti , Barbara Zwicknagl

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

This short paper presents the potential of using machine learning to predict materials behaviour in the context of hydrogen interaction with steel. Effort has been made to understand the quality, and amount of data needed to get improved…

Materials Science · Physics 2021-10-22 M. Amir Siddiq

The impact of shear deformation in $(1\,0\,1)[1\,0\,\bar{1}]$ system of non-modulated (NM) martensite in Ni$_2$MnGa ferromagnetic shape memory alloy is investigated by means of ab initio atomistic simulations. The shear system is associated…

Materials Science · Physics 2024-11-11 Martin Heczko , Petr Šesták , Hanuš Seiner , Martin Zelený

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

Possible crystalline modifications of chemical compounds at low temperatures correspond to local minima of the energy landscape. Determining these minima via simulated annealing is one method for the prediction of crystal structures, where…

Materials Science · Physics 2008-10-31 K. Doll , J. C. Schoen , M. Jansen
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