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The interaction of dislocations with phase boundaries is a complex phenomenon, that is far from being fully understood. A 2D Peierls-Nabarro finite element (PN-FE) model for studying edge dislocation transmission across fully coherent and…

Materials Science · Physics 2019-10-02 F. Bormann , R. H. J. Peerlings , M. G. D. Geers

High-entropy oxides (HEOs) are a new class of materials that are promising for a wide range of applications. Designing HEOs needs to consider both geometric compatibility and electrical equilibrium. However, there is currently no available…

Materials Science · Physics 2020-06-09 Lei Tang , Zemin Li , Kepi Chen , Cuiwei Li , Xiaowen Zhang , Linan An

A dislocation moving through a quasicrystal is leaving in its wake a fault denoted phason wall. For a two-dimensional model quasicrystal the disregistry energy of this phason wall is studied to determine possible Burgers vectors of the…

Materials Science · Physics 2008-02-03 R. Mikulla , P. Gumbsch , H. -R. Trebin

In this study Mo-Nb-Ta-W refractory high-entropy alloys (R-HEAs) have been studied for their phase stability for a wide temperature range (100 K to 2000 K). The equilibrium thermodynamic phases are determined by the changes in enthalpy and…

Materials Science · Physics 2021-03-16 Varnita Bajpai , Soumyadipta Maiti , Shashank Mishra , Beena Rai

We revisit some recents results inspired by the Peierls-Nabarro model on edge dislocations for crystals which rely on the fractional Laplace representation of the corresponding equation. In particular, we discuss results related to…

Analysis of PDEs · Mathematics 2021-10-15 Serena Dipierro , Stefania Patrizi , Enrico Valdinoci

Plastic deformation of crystals is a physical phenomenon, which has immensely driven the development of human civilisation since the onset of the Chalcolithic period. This process is primarily governed by the motion of line defects, called…

Materials Science · Physics 2009-07-15 A. Dutta , M. Bhattacharya , P. Mukherjee , N. Gayathri , G. C. Das , P. Barat

Mechanical deformation of nanopillars displays features that are distinctly different from the bulk behavior of single crystals: Yield strength increases with decreasing size and plastic deformation comes together with strain bursts or/and…

Materials Science · Physics 2016-06-06 Stefanos Papanikolaou , Hengxu Song , Erik Van der Giessen

We consider the equation $$v_t=L_s v-W'(v)+\sigma_\epsilon(t,x) \quad {\mbox{ in }} (0,+\infty)\times\R,$$ where $L_s$ is an integro-differential operator of order $2s$, with $s\in(0,1)$, $W$ is a periodic potential, and $\sigma_\epsilon$…

Analysis of PDEs · Mathematics 2013-11-15 Serena Dipierro , Alessio Figalli , Enrico Valdinoci

High-entropy alloys (HEAs) stand out between multi-component alloys due to their attractive microstructures and mechanical properties. In this investigation, molecular dynamics (MD) simulation and machine learning were used to ascertain the…

Materials Science · Physics 2024-02-05 Hoang-Giang Nguyen , Thanh-Dung Le

We study the mechanical response of a dislocation-free 2D crystal under homogenous shear using a new mesoscopic approach to crystal plasticity, a Landau-type theory, accounting for the global invariance of the energy in the space of strain…

Materials Science · Physics 2021-05-25 O. U. Salman , R. Baggio , B. Bacroix , G. Zanzotto , N. Gorbushin , L. Truskinovsky

Molecular static simulations have been performed to study the interaction between a single dislocation and a substitutional Al solute atom in a pure crystal of Ni. When the Al solute is situated at intermediate distance from the slip plane,…

Classical Physics · Physics 2009-03-04 Sylvain Patinet

Nanostructured electrodes with voids or interconnected pores accommodate large volume changes, shorten ion diffusion pathways, and enhance the structural reversibility of alloying electrodes. While these nanoporous features improve the…

The elastic energy of mixing for multi-component solid solutions is derived by generalizing Eshelby's sphere-in-hole model for binary alloys. By surveying the dependence of the elastic energy on chemical composition and lattice misfit, we…

Materials Science · Physics 2021-09-01 Reza Darvishi Kamachali , Lei Wang

We consider a semi-linear integro-differential equation in dimension one associated to the half Laplacian whose solution represents the atom dislocation in a crystal. The equation comprises the evolutive version of the classical…

Analysis of PDEs · Mathematics 2023-09-28 Stefania Patrizi , Tharathep Sangsawang

High entropy alloys (HEAs) are a series of novel materials that demonstrate many exceptional mechanical properties. To understand the origin of these attractive properties, it is important to investigate the thermodynamics and elucidate the…

Materials Science · Physics 2020-11-03 Xianglin Liu , Jiaxin Zhang , Junqi Yin , Sirui Bi , Markus Eisenbach , Yang Wang

In the quest of new materials that can withstand severe irradiation and mechanical extremes for advanced applications (e.g. fission reactors, fusion devices, space applications, etc), design, prediction and control of advanced materials…

High entropy alloys gained significant scientific interest in recent years due to their enhanced mechanical properties including high yield strength combined with outstanding ductility. The strength of these materials originates from their…

Materials Science · Physics 2025-07-29 Dénes Berta , Péter Dusán Ispánovity

Dislocation velocities and mobilities are studied by Molecular Dynamics simulations for edge and screw dislocations in pure aluminum and nickel, and edge dislocations in Al-2.5%Mg and Al-5.0%Mg random substitutional alloys using EAM…

Materials Science · Physics 2009-11-10 David L. Olmsted , Louis G. Hector , W. A. Curtin , R. J. Clifton

On the premise that amorphous-HEA composites could demonstrate high toughness and resistance to embrittlement akin to the phase separating glassy-solid solution composites, we develop a thermodynamics based approach to identify chemical…

Materials Science · Physics 2020-06-23 Nikhil Rai , Priyabrata Das , Srikant Gollapudi

High-entropy oxides (HEOs) offer a unique platform for exploring the thermodynamic interaction between configurational entropy and enthalpy in stabilizing complex solid solutions. In this study, a series of rock-salt structured oxides with…

Materials Science · Physics 2025-10-13 Ashutosh Kumar , Adrien Moll , Jitendra Kumar , Diana Dragoe , David Bérardan , Nita Dragoe
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