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Related papers: Structural origin of plasticity in strained high-e…

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It is known by now that amorphous solids at zero temperature do not possess a nonlinear elasticity theory: besides the shear modulus which exists, all the higher order coefficients do not exist in the thermodynamic limit. Here we show that…

Soft Condensed Matter · Physics 2016-06-15 Itamar Procaccia , Corrado Rainone , Carmel Shor , Murari Singh

The thermodynamic theory of dislocation-enabled plasticity is based on two unconventional hypotheses. The first of these is that a system of dislocations, driven by external forces and irreversibly exchanging heat with its environment, must…

Materials Science · Physics 2017-12-06 J. S. Langer

We propose a framework within which a robust mechanical definition of precursors to plastic instabilities, often termed `soft-spots', naturally emerges. They are shown to be collective displacements (modes) $\hat{z}_0$ that correspond to…

Soft Condensed Matter · Physics 2016-02-03 Luka Gartner , Edan Lerner

Plasticity refers to thermodynamically irreversible deformation associated with a change of configuration of materials. Friction is a phenomenological law that describes the forces resisting sliding between two solids or across an embedded…

Geophysics · Physics 2018-02-23 Sylvain Barbot

The successful synthesis of high entropy alloy (HEA) nanoparticles, a long-sought goal in materials science, opens a new frontier in materials science with applications across catalysis, electronics, structural alloys, and energetic…

Materials Science · Physics 2021-05-27 Wissam A. Saidi , Waseem Shadid , Götz Veser

A polycrystalline solid is modelled as an ensemble of random irregular polyhedra filling the entire space occupied by the solid body, leaving no voids or flaws between them. Adjacent grains can slide with a relative velocity proportional to…

Materials Science · Physics 2025-11-03 Miguel Lagos

Elastic models of the glass transition relate the relaxation dynamics and the elastic properties of structural glasses. They are based on the assumption that the relaxation dynamics occurs through activated events in the energy landscape…

Soft Condensed Matter · Physics 2015-08-20 M. Pica Ciamarra , Peter Sollich

A mesoscopic model of amorphous plasticity is discussed in the context of depinning models. After embedding in a d + 1 dimensional space, where the accumulated plastic strain lives along the additional dimension, the gradual plastic…

Soft Condensed Matter · Physics 2016-07-06 Botond Tyukodi , Sylvain Patinet , Stéphane Roux , Damien Vandembroucq

High entropy alloys (HEAs) have captured much attention in recent years due to their conceivably improved radiation resistance compared to pure metals and traditional alloys. However, among HEAs, there are millions of design possibilities…

Continuum models of plasticity fail to capture the richness of microstructural evolution because the continuum is a homogeneous construction. The present study shows that an alternative way is available at the mesoscale in the form of truly…

Materials Science · Physics 2025-10-01 Afonso D. M. Barroso , Elijah Borodin , Andrey P. Jivkov

We study a model for the deformation of a visco-elasto-plastic material that is nearly incompressible. It originates from geophysics, is given in the Eulerian description and combines a Kelvin-Voigt rheology in the spherical part with a…

Analysis of PDEs · Mathematics 2025-12-22 Thomas Eiter

Plastic deformation in amorphous solids is known to be carried by stress-induced localized rearrangements of a few tens of particles, accompanied by the conversion of elastic energy to heat. Despite their central role in determining how…

Soft Condensed Matter · Physics 2021-03-03 David Richard , Geert Kapteijns , Julia A. Giannini , M. Lisa Manning , Edan Lerner

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

We study an elasticity model for compressed protein monolayers or particle rafts at a liquid interface. Based on the microscopic view of hard-core particles with soft shells, a bead-spring model is formulated and analyzed in terms of…

Soft Condensed Matter · Physics 2015-05-12 Sebastian Knoche , Jan Kierfeld

Strain localization is an instability phenomenon occurring in deformable solid materials which undergo dissipative deformation mechanisms. Such instability is characterized by the localization of the displacement or velocity fields in a…

Geophysics · Physics 2021-04-21 Antoine B. Jacquey , Hadrien Rattez , Manolis Veveakis

Ceramics are easy to break, and very few generic mechanisms are available for improving their mechanical properties, e.g., the 1975-discovered anti-fracture mechanism is strictly limited to zirconia and hafnia. Here we report a general…

Materials Science · Physics 2021-02-02 Haidong Bian , Quanfeng He , Junhua Luan , Yu Bu , Yong Yang , Zhengtao Xu , Jian Lu , Yang Yang Li

It is shown here that fracture after a brief plastic strain, typically of a few percents, is a necessary consequence of the polycrystalline nature of the materials. The polycrystal undergoing plastic deformation is modeled as a flowing…

Materials Science · Physics 2018-08-28 Miguel Lagos , César Retamal , Rodrigo Valle

The present paper studies non-uniform plastic deformations of crystals undergoing anti-plane constrained shear. The asymptotically exact energy density of crystals containing a moderately large density of excess dislocations is found by the…

Materials Science · Physics 2018-01-17 Khanh Chau Le , Yinguang Piao

The solution and diffusion of interstitial non-metallic solutes (INSs) like H, He, O, C, N, P, and S is common in refractory high-entropy alloys (RHEAs) and essentially controls the RHEAs properties. However, the disorder local chemical…

Materials Science · Physics 2025-08-06 Qianxi Zhu , Wang Gao , Qing Jiang

Starting from a prototypical model of elasto-plasticity in the small-strain and quasi-static setting, where the evolution of the plastic distortion is driven exclusively by the motion of discrete dislocations, this work performs a rigorous…

Analysis of PDEs · Mathematics 2025-03-26 Paolo Bonicatto , Filip Rindler