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Modelling fracture behavior of the shape memory alloy (SMA) that interacts with martensitic transformation and the associated elastocaloric effect (eCE) still remains challenging. Herein, a thermo-mechanically coupled phase-filed fracture…

Materials Science · Physics 2026-04-22 Shen Sun , Wei Tang , Weiwei He , Igor Polozov , Min Yi

We present a multi-scale approach to efficiently embed an ab initio correlated chemical fragment described by its energy-weighted density matrices, and entangled with a wider mean-field many-electron system. This approach, first presented…

Strongly Correlated Electrons · Physics 2019-07-24 Edoardo Fertitta , George H. Booth

In this note we prove that any $W^{1,2}$ mapping $u$ in the plane that minimizes an appropriate quasiconvex energy functional subject to the Jacobian constraint ${\rm det} \na u=1$ a.e., are necessarily Lipschitz. Furthermore we show that…

Analysis of PDEs · Mathematics 2007-05-23 Nirmalendu Chaudhuri

CHUF (cooling and heating in unequal field) protocol allows establishing phase coexistence through macroscopic measurements and enables distinguishing the metastable and stable phases (amongst the coexisting phase fractions across a first…

Materials Science · Physics 2012-01-04 P. Chaddah , A. Banerjee

Titanium-based shape memory alloys, such as Ti2448, have attracted enormous attention owing to their unique thermomechanical properties and potential biomedical applications. In this study, we develop a polycrystalline phase field to…

Materials Science · Physics 2021-03-02 Jiawei Mai , Yuquan Zhu , Tao Xu , Tong-Yi Zhang

We predict the existence of a new ferromagnetic shape memory alloy Ga_2MnNi using density functional theory. The martensitic start temperature (T_M) is found to be approximately proportional to the stabilization energy of the martensitic…

Magnetic-shape-memory materials (e.g. specific NiMnGa alloys) react with a large change of shape to the presence of an external magnetic field. As an alternative for the difficult to manifacture single crystal of these alloys we study…

Analysis of PDEs · Mathematics 2017-11-17 Sergio Conti , Martin Lenz , Matthäus Pawelczyk , Martin Rumpf

Resonant ultrasound spectroscopy and magnetic susceptibility experiments have been used to characterize strain coupling phenomena associated with structural and magnetic properties of the shape-memory Heusler alloy series…

Materials Science · Physics 2018-04-18 C. Salazar Mejia , N. -O. Born , J. A. Schiemer , C. Felser , M. A. Carpenter , M. Nicklas

This work presents a three-dimensional constitutive model for the martensitic transformation in polycrystalline Shape Memory Alloys (SMAs) under large deformation. By utilizing the logarithmic strain and rate, the model is able to account…

Materials Science · Physics 2019-09-04 Lei Xu , Theocharis Baxevanis , Dimitris Lagoudas

We discuss the appearance of non-supersymmetric compactifications with exactly the Standard Model (SM) at low energies, in the context of IIB orientifold constructions with D5 branes intersecting at angles on the $T^4$ tori, of the…

High Energy Physics - Theory · Physics 2014-11-18 Christos Kokorelis

A novel complex-phase steel alloy is conceived with a deliberately unstable austenite, $\gamma$, phase that enables the deformation-induced martensitic transformations (DIMT) to be explored at low levels of plastic strain. The DIMT was thus…

The article focuses on the effect of alloying and microstructure on formability of advanced high strength steels (AHSSs) processed via quenching and partitioning (Q&P). Three different Q&P steels with different combination of alloying…

In this paper we construct and analyze a two-well Hamiltonian on a 2D atomic lattice. The two wells of the Hamiltonian are prescribed by two rank-one connected martensitic twins, respectively. By constraining the deformed configurations to…

Mathematical Physics · Physics 2014-02-24 Georgy Kitavtsev , Stephan Luckhaus , Angkana Rüland

Triangular lattice models for pattern formation by hard-core soft-shell particles at interfaces are introduced and studied in order to determine the effect of the shell thickness and structure. In model I, we consider particles with…

Soft Condensed Matter · Physics 2020-08-26 V. S. Grishina , V. S. Vikhrenko , A. Ciach

We consider a class of models for nonlinearly elastic surfaces in this work. We have in mind thin, highly deformable structures modeled directly as two-dimensional nonlinearly elastic continua, accounting for finite membrane and bending…

Analysis of PDEs · Mathematics 2021-05-17 Timothy J. Healey

Based on original investigations into the stages of nucleation and growth of martensite, a consideration has been given to dynamic models of formation of martensite plates with a fine structure of transformation twins, which are compatible…

Materials Science · Physics 2010-07-02 M. P. Kashchenko , V. G. Chashchina

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

Based on crystal chemistry rationale and calculations within the density functional theory DFT, the U:B system is complemented with additional binary compounds UB3, U2B6, and UB6 possessing two-dimensional 2D and 3D boron substructures.…

Materials Science · Physics 2020-02-18 Samir F. Matar

Common wisdom asserts that bound excitons cannot form in high-dimensional (d>1) metallic structures because of their overwhelming screening and unavoidable resonance with nearby continuous bands. Strikingly, here we illustrate that this…

Mesoscale and Nanoscale Physics · Physics 2014-09-29 Yufeng Liang , Ryan Soklaski , Shouting Huang , Matthew W. Graham , Robin Havener , Jiwoong Park , Li Yang

Tungsten (W) is considered a leading candidate for structural and functional materials in future fusion energy devices. The most attractive properties of tungsten for magnetic and inertial fusion energy reactors are its high melting point,…

Materials Science · Physics 2024-10-15 Yichen Qian , Mark R. Gilbert , Lucile Dezerald , Duc Nguyen-Manh , David Cereceda