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The modeling of the elastic properties of disordered or nanoscale solids requires the foundations of the theory of elasticity to be revisited, as one explores scales at which this theory may no longer hold. The only cases for which…

Materials Science · Physics 2007-05-23 I. Goldhirsch , C. Goldenberg

On microscopic and mesoscopic scales, plastic flow of crystals is characterized by large intrinsic fluctuations. Deformation by crystallographic slip occurs in a sequence of intermittent bursts ('slip avalanches') with power-law size…

Materials Science · Physics 2009-11-11 Michael Zaiser , Paolo Moretti

When a film of a liquid suspension of nanoparticles or a polymer solution is deposited on a surface, it may dewet from the surface and as the solvent evaporates the solute particles/polymer can be deposited on the surface in regular line…

Soft Condensed Matter · Physics 2013-03-25 Lubor Frastia , Andrew J. Archer , Uwe Thiele

Identifying the regions responsible for plastic flow in amorphous solids remains an open problem, since structural disorder seems to prevent the direct application of concepts such as dislocations, topological defects that successfully…

Soft Condensed Matter · Physics 2026-05-21 Xin Wang , Yang Xu , Jin Shang , Yi Xing , Jie Zhang , Yujie Wang , Walter Kob , Matteo Baggioli

We study a model describing the slow flow of a fluid through a deformable, porous, elastic solid undergoing small deformations. The stress-strain relationship of the solid incorporates nonlinear effects, formulated as a perturbation of the…

Numerical Analysis · Mathematics 2026-04-28 Andrea Bonito , Vivette Girault , Diane Guignard

We consider diffusion limited aggregation of particles of two different kinds. It is assumed that a particle of one kind may adhere only to another particle of the same kind. The particles aggregate on a linear substrate which consists of…

Other Condensed Matter · Physics 2015-05-20 E. B. Postnikov , A. B. Ryabov , A. Loskutov

This short review is devoted to the simple process of drying a multi-component droplet consisting of a complex fluid containing a salt. These processes provide a fascinating subject for study. The explanation of the rich variety of patterns…

Soft Condensed Matter · Physics 2016-11-04 Yuri Yu. Tarasevich , Sujata Tarafdar , Tapati Dutta

Atomic crystals with dislocations deform plastically at low stresses via dislocation glide. Whether dislocation glide occurs in macroscopic frictional granular media has remained unknown. The discrete element method is employed to simulate…

Materials Science · Physics 2026-05-26 Fumiaki Nakai , Takashi Uneyama , Yuto Sasaki , Kiwamu Yoshii , Hiroaki Katsuragi

Dislocations play a key role in the understanding of many phenomena in solid state physics, materials science, crystallography and engineering. Dislocations are line defects producing distortions and self-stresses in an otherwise perfect…

Materials Science · Physics 2018-03-12 Markus Lazar

The two key phenomena occurring in the process of ceramic powder compaction are the progressive gain in cohesion and the increase of elastic stiffness, both related to the development of plastic deformation. The latter effect is an example…

Mathematical Physics · Physics 2015-05-20 Andrea Piccolroaz , Davide Bigoni , Alessandro Gajo

A clear understanding of the dynamic behavior of metals is critical for developing superior structural materials as well as for improving material processing techniques such as cold spray and shot peening. Using a high velocity (from 120…

Materials Science · Physics 2023-02-22 Jizhe Cai , Claire Griesbach , Savannah G. Ahnen , Ramathasan Thevamaran

Plastic deformation of micron and sub-micron scale specimens is characterized by intermittent sequences of large strain bursts (dislocation avalanches) which are separated by regions of near-elastic loading. In the present investigation we…

Materials Science · Physics 2009-11-13 M. Zaiser , J. Schwerdtfeger , A. S. Schneider , C. P. Frick , B. G. Clark , P. A. Gruber , E. Arzt

New aspects of a relation between lattice and dislocation structures are examined within a physically transparent theoretical scheme. Predicted features originating from the lattice discreteness include: (i) multiple core dislocation…

Materials Science · Physics 2007-05-23 Oleg N. Mryasov , Yu. N. Gornostyrev , A. J. Freeman

A three-dimensional continuum dislocation theory for single crystals containing curved dislocations is proposed. A set of governing equations and boundary conditions is derived for the true placement, plastic slips, and loop functions in…

Materials Science · Physics 2015-06-12 Khanh Chau Le

Plastic deformation of micron-scale crystalline materials differ considerably from bulk ones, because it is characterized by random strain bursts. To obtain a detailed picture about this stochastic phenomenon, micron sized pillars have been…

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 investigate the formation of stripe patterns that appear on the surface of a dry granular system as the container is deformed very slowly. In an experimental study using nearly mono-disperse glass beads, we found that many faults develop…

Statistical Mechanics · Physics 2007-05-23 So Kitsunezaki , Akemi Kurumatani

Continuum dislocation dynamics models of mesoscale plasticity consist of dislocation transport-reaction equations coupled with crystal mechanics equations. The coupling between these two sets of equations is such that dislocation transport…

Materials Science · Physics 2021-02-09 Peng Lin , Vignesh Vivekanandan , Kyle Starkey , Benjamin Anglin , Clint Geller , Anter El-Azab

Dislocations are the main carriers of the permanent deformation of crystals. For simulations of engineering applications, continuum models where material microstructures are represented by continuous density distributions of dislocations…

Materials Science · Physics 2018-03-02 Xiaohua Niu , Yichao Zhu , Shuyang Dai , Yang Xiang

Dislocation-density-based crystal plasticity (CP) models are introduced to account for the microstructural changes throughout the deformation process, enabling more quantitative predictions of the deformation process compared to slip-system…

Materials Science · Physics 2025-07-24 Jalal Smiri , Oguz Umut Salman , Ioan R. Ionescu