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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…

材料科学 · 物理学 2016-05-02 Anton Muehlemann

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.…

数值分析 · 数学 2016-01-07 Patrick Dondl , Behrend Heeren , Martin Rumpf

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…

偏微分方程分析 · 数学 2022-06-22 Sergio Conti , Robert Kohn , Oleksandr Misiats

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…

偏微分方程分析 · 数学 2016-01-27 John Ball , Konstantinos Koumatos

We study energy scaling laws for a simplified, singularly perturbed, double-well nucleation problem confined in a half-space, in the absence of gauge invariance and for an inclusion of fixed volume. Motivated by models for boundary…

偏微分方程分析 · 数学 2024-03-08 Antonio Tribuzio , Konstantinos Zemas

A three-dimensional phase-field model is proposed for simulating the magnetic martensitic phase transformation. The model considers a paramagnetic cubic austenite to ferromagnetic tetragonal martensite transition, as it occurs in magnetic…

材料科学 · 物理学 2022-04-05 Dominik Ohmer , Min Yi , Oliver Gutfleisch , Bai-Xiang Xu

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…

材料科学 · 物理学 2023-09-06 Seyedshoja Amini , Mohsen Rezaee-Hajidehi , Stanislaw Stupkiewicz

We explore the possibilities and limitations of using a coherent second phase to engineer the thermo-mechanical properties of a martensitic alloy by modifying the underlying free energy landscape that controls the transformation. We use…

材料科学 · 物理学 2020-05-28 Saaketh Desai , Samuel Temple Reeve , Karthik Guda Vishnu , Alejandro Strachan

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…

材料科学 · 物理学 2020-05-20 Hanus Seiner , Paul Plucinsky , Vivekanand Dabade , Barbora Benesova , Richard D. James

The paper investigates two-phase microstructures of optimal 3D composites that store minimal elastic energy in a given strain field. The composite is made of two linear isotropic materials which differ in elastic moduli and self-strains. We…

材料科学 · 物理学 2015-11-03 Mikhail A. Antimonov , Andrej Cherkaev , Alexander Freidin

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.…

材料科学 · 物理学 2022-01-04 Daniel Mutter , Peter Nielaba

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…

材料科学 · 物理学 2018-12-05 Alexander F. Brust , Stephen R. Niezgoda , Victoria A. Yardley , Eric J. Payton

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…

偏微分方程分析 · 数学 2011-09-01 J. M. Ball , K. Koumatos , H. Seiner

Structural martensitic transformations enable various applications, which range from high stroke actuation and sensing to energy efficient magnetocaloric refrigeration and thermomagnetic energy harvesting. All these emerging applications…

The nucleation of bcc austenite in a single crystal of a mechanically stabilized 2H-martensite of Cu-Al-Ni shape-memory alloy is studied. The nucleation process is induced by localized heating and observed by optical microscopy. It is…

偏微分方程分析 · 数学 2013-10-10 John M. Ball , Konstantinos Koumatos , Hanus Seiner

Diffusionless phase transitions are at the core of the multifunctionality of (magnetic) shape memory alloys, ferroelectrics and multiferroics. Giant strain effects under external fields are obtained in low symmetric modulated martensitic…

The martensitic transformation in new-type all-d-metal Heusler alloys Pd2MnTi and Pt2MnTi have been investigated based on first-principles investigations. The calculated results indicate that the martenstic transformation have great…

材料科学 · 物理学 2019-10-30 L. Feng

Austenite ({\gamma}-Fe, face centered cubic (FCC)) to ferrite ({\alpha}-Fe, body centered cubic (BCC)) phase transformation in steel is of great significance from the point of view of industrial applications. In this work, using classical…

材料科学 · 物理学 2019-01-03 Pawan Kumar Tripathi , Sumit Kumar Maurya , Somnath Bhowmick

Triply periodic minimal surfaces (TPMS) are discovered to conform to surfaces of given charge density distributions embedded in crystals [Z. Kristallogr. \textbf{170}, 138 (1985)]. Based on our previous work [Phys. Rev. Mater. \textbf{9},…

材料科学 · 物理学 2025-10-14 M. Yin , D. D. Vvedensky

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…

偏微分方程分析 · 数学 2016-06-29 Angkana Rüland
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