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We derive a continuum-level plasticity model for polycrystalline materials in the high energy density regime, based on a single dislocation density and single mobility mechanism, with an evolution model for the dislocation density. The…

Alternative approach for description of the non-equilibrium phenomena arising in solids at a severe external loading is analyzed. The approach is based on the new form of kinetic equations in terms of the internal and modified free energy.…

Statistical Mechanics · Physics 2014-08-27 L. S. Metlov

The focus is on discrete defects that can be modeled by continuum mechanics, but where the discreteness of the carriers of plastic deformation plays a significant role. The formulations are restricted to small deformation kinematics and the…

Materials Science · Physics 2023-05-10 Alan Needleman

Matallic alloys, such as Al or Cu, or mild steel, display plastic instabilities in a well defined range of temperatures and deformation rates, a phenomenon known as the Portevin-Le Chatelelier (PLC) effect. The stick-slip behavior, or…

Materials Science · Physics 2014-02-12 Fabio Leoni , Stefano Zapperi

We address the prediction of ductile damage and material anisotropy accumulated during plastic deformation of metals. A new model of phenomenological metal plasticity is proposed which is suitable for applications involving large…

Materials Science · Physics 2015-04-01 A. V. Shutov , C. B. Silbermann , J. Ihlemann

Dislocation motion in body centered cubic (bcc) metals displays a number of specific features that result in a strong temperature dependence of the flow stress, and in shear deformation asymmetries relative to the loading direction as well…

Materials Science · Physics 2016-08-05 Giacomo Po , Yinan Cui , David Rivera , David Cereceda , Tom D. Swinburne , Jaime Marian , Nasr Ghoniem

Dislocation based modeling of plasticity is one of the central challenges at the crossover of materials science and continuum mechanics. Developing a continuum theory of dislocations requires the solution of two long standing problems: (i)…

Materials Science · Physics 2016-06-29 Thomas Hochrainer

This work presents an open source, dislocation density based crystal plasticity modeling framework, $\rho$-CP. A Kocks-type thermally activated flow is used for accounting for the temperature and strain rate effects on the crystallographic…

A thermodynamically consistent visco-elastodynamical model at finite strains is derived that also allows for inelasticity (like plasticity or creep), thermal coupling, and poroelasticity with diffusion. The theory is developed in the…

Mathematical Physics · Physics 2024-04-17 Alexander Mielke , Tomáš Roubíček

Stressed dislocation pattern formation in crystal plasticity at finite deformation is demonstrated for the first time. Size effects are also demonstrated within the same mathematical model. The model involves two extra material parameters…

Materials Science · Physics 2018-12-04 Rajat Arora , Amit Acharya

Because of the enormous range of time and space scales involved in dislocation dynamics, plastic modeling at macroscale requires a continuous formulation. In this paper, we present a rigorous formulation of the transition between the…

Materials Science · Physics 2016-06-22 P. L. Valdenaire , Y. Le Bouar , B. Appolaire , A. Finel

We show that the thermodynamic dislocation theory (TDT) predicts a scaling relation between stresses, strain rates, and temperatures for steady-state deformations of crystalline solids, and that this relation is accurately obeyed by a wide…

Materials Science · Physics 2020-12-30 J. S. Langer , K. C. Le

Dislocation based modeling of plasticity is one of the central challenges at the crossover of materials science and continuum mechanics. Developing a continuum theory of dislocations requires the solution of two long standing problems: (i)…

Materials Science · Physics 2016-01-20 Thomas Hochrainer

A non-equilibrium theory of isothermal and diffusionless evolution of incoherent interfaces within a plastically deforming solid is developed. The irreversible dynamics of the interface are driven by its normal motion, incoherency (slip and…

Materials Science · Physics 2015-06-03 Anurag Gupta , David Steigmann

This work deals with an investigation of general principles of superplasticity (SP) in deformed materials. It is shown that a non-linear, wave plastic deformation is the basic process for all plastic deformation phenomena, it makes an…

Soft Condensed Matter · Physics 2017-04-06 V. Egorushkin , A. Ponomarev

We develop a theory of fluctuation-driven phenomena in thermal transport in graphene double-layers. We work in the regime of electron hydrodynamics and focus on the double charge neutrality point. Although at the neutrality point charge…

Mesoscale and Nanoscale Physics · Physics 2022-09-20 Alex Levchenko , Songci Li , A. V. Andreev

We show that two-dimensional systems of deformable particles undergo a continuous liquid-hexatic transition upon compression or cooling, but no hexatic-solid transition-even at zero temperature and high density. Numerical simulations reveal…

Soft Condensed Matter · Physics 2025-11-20 Jatin Kumar , Wu Zeng , Anshuman Pasupalak , Massimo Pica Ciamarra

When analyzing thermodynamic and kinetic properties of crystals whose anisotropy is not large and the considered effects do not relate to the existence of singled-out directions in crystals, one may use a more simple model of an isotropic…

Statistical Mechanics · Physics 2020-04-15 Yu. M. Poluektov

Accurate predictions of thermo-mechanically coupled process in metals can lead to a reduction of cost and an increase of productivity in manufacturing processes such as forming. For modeling these coupled processes with the finite element…

Materials Science · Physics 2019-05-30 Jifeng Li , Ignacio Romero , Javier Segurado

Micro-plasticity theories and models are suitable to explain and predict mechanical response of devices on length scales where the influence of the carrier of plastic deformation - the dislocations - cannot be neglected or completely…

Materials Science · Physics 2015-06-10 Stefan Sandfeld , Ekkachai Thawinan , Christian Wieners