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We study localization occurring during high speed shear deformations of metals leading to the formation of shear bands. The localization instability results from the competition among Hadamard instability (caused by softening response) and…

Analysis of PDEs · Mathematics 2019-02-25 Min-Gi Lee , Theodoros Katsaounis , Athanasios Tzavaras

Elastoplastic lattice models for the response of solids to deformation typically incorporate structure only implicitly via a local yield strain that is assigned to each site. However, the local yield strain can change in response to a…

Elucidating the interplay of defect and stress at the microscopic level is a fundamental physical problem that has strong connection with materials science. Here, based on the two-dimensional crystal model, we show that the instability mode…

Soft Condensed Matter · Physics 2020-06-19 Zhenwei Yao

High-entropy alloys (HEAs) are solid solutions of multiple elements with equal atomic ratios which present an innovative pathway for de novo alloy engineering. While there exist extensive studies to ascertain the important structural…

Materials Science · Physics 2020-05-15 Chi-Huan Tung , Guan-Rong Huang , Zhitong Bai , Yue Fan , Wei-Ren Chen , Shou-Yi Chang

The influence of alternating shear orientation and strain amplitude of cyclic loading on yielding in amorphous solids is investigated using molecular dynamics simulations. The model glass is represented via a binary mixture that was rapidly…

Soft Condensed Matter · Physics 2020-12-08 Nikolai V. Priezjev

The local deformation of two-dimensional Lennard-Jones glasses under imposed shear strain is studied via computer simulations. Both the mean squared displacement and mean squared strain rise linearly with the length of the strain interval…

Soft Condensed Matter · Physics 2009-11-13 Craig E. Maloney , Mark O. Robbins

We study the yielding behaviour of a model glass under cyclic athermal quastistatic deformation computationally, and show that yielding is characterised by the discontinuous appearance of shear bands, whose width is about ten particle…

Disordered Systems and Neural Networks · Physics 2019-05-01 Anshul D. S. Parmar , Saurabh Kumar , Srikanth Sastry

We used computer simulations to study spontaneous strain localization in granular materials, as a result of symmetry breaking non-homogeneous deformations. Axisymmetric triaxial shear tests were simulated by means of standard…

Soft Condensed Matter · Physics 2007-05-23 S. Fazekas , J. Török , J. Kertész , D. E. Wolf

A minimal athermal model for the flow of dense disordered materials is proposed, based on two generic ingredients: local plastic events occuring above a microscopic yield stress, and the non-local elastic release of the stress these events…

Soft Condensed Matter · Physics 2009-11-10 Guillemette Picard , Armand Ajdari , Francois Lequeux , Lyderic Bocquet

Cessation of flow in simple yield stress fluids results in a complex stress relaxation process that depends on the preceding flow conditions and leads to finite residual stresses. To assess the microscopic origin of this phenomenon, we…

Size-dependence of plastic flow is studied by discrete dislocation dynamical simulation of systems with various numbers of interacting linear edge dislocations while the stress is slowly increased. Regions between avalanches in the…

Materials Science · Physics 2015-03-05 Peter Szabo , Peter Dusan Ispanovity , Istvan Groma

Necking instabilities, in which tensile (extensional) deformation localizes into a small spatial region, are generic failure modes in elasto-viscoplastic materials. Materials in this very broad class --- including amorphous, crystalline,…

Materials Science · Physics 2018-07-11 Avraham Moriel , Eran Bouchbinder

Voids can limit the life of engineering components. This motivates us to understand local plasticity around voids in a nickel base superalloy combining experiments and simulations. Single crystal samples were deformed in tension with…

Materials Science · Physics 2021-04-19 Yi Guo , Cui Zong , Ben Britton

We formulate a phenomenological elasto-plastic theory to describe a solid undergoing a structural transition from a square (p4mm) to an oblique (p2) lattice in two dimensions. Within our theory, the components of the strain may be…

Materials Science · Physics 2010-03-18 Arya Paul , Surajit Sengupta , Madan Rao

We study strain localization as an enhanced velocity weakening mechanism on earthquake faults. Fault friction is modeled using Shear Transformation Zone (STZ) Theory, a microscopic physical model for non-affine rearrangements in granular…

Geophysics · Physics 2015-05-13 Eric G. Daub , M. Lisa Manning , Jean M. Carlson

Plastic deformation in solids induced by external shear stress is of huge practical interest. Presence of local crystalline order in polycrystals, consisting of many grains, distinguishes its deformation pattern from that of amorphous…

Soft Condensed Matter · Physics 2013-03-07 Santidan Biswas , Martin Grant , Indradev Samajdar , Arunansu Haldar , Anirban Sain

We use numerical simulations and an athermal quasi-static shear protocol to investigate the yielding of a model colloidal gel. Under increasing deformation, the elastic regime is followed by a significant stiffening before yielding takes…

Soft Condensed Matter · Physics 2015-06-22 Jader Colombo , Emanuela Del Gado

When an amorphous solid is deformed homogeneously, the response exhibits heterogeneous plastic instabilities with localized cooperative rearrangement of cluster of particles. The heterogeneous behavior plays an important role in deciding…

Soft Condensed Matter · Physics 2022-01-31 Meenakshi L , Bhaskar Sen Gupta

We present a numerical study of the mechanical response of a 2D Lennard-Jones amorphous solid under steady quasistatic and athermal shear. We focus here on the evolution of local stress components. While the local stress is usually taken as…

Materials Science · Physics 2009-11-13 Michel Tsamados , Anne Tanguy , Fabien Leonforte , J. -L. Barrat

The nature of yield in amorphous materials under stress has yet to be fully elucidated. In particular, understanding how microscopic rearrangement gives rise to macroscopic structural and rheological signatures in disordered systems is…

Soft Condensed Matter · Physics 2020-08-17 Erin G. Teich , K. Lawrence Galloway , Paulo E. Arratia , Danielle S. Bassett
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