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We describe a phase transition that gives rise to structurally non-trivial states in a two-dimensional ordered network of particles connected by harmonic bonds. Monte Carlo simulations reveal that the network supports, apart from the…

Soft Condensed Matter · Physics 2017-04-05 Saswati Ganguly , Jürgen Horbach , Peter Sollich , Parswa Nath , Smarajit Karmakar , Surajit Sengupta

We propose a theoretical framework for dealing with a transient polymer network undergoing small deformations, based on the rate of breaking and re-forming of network crosslinks and the evolving elastic reference state. In this framework,…

Soft Condensed Matter · Physics 2016-04-27 Fanlong Meng , Robyn H. Pritchard , Eugene M. Terentjev

We study quasi-static deformation of dense granular packings. The packing is deformed by imposing external boundary conditions, which model engineering experiments such as shear and compression. We propose a two-dimensional network model of…

Optimization and Control · Mathematics 2007-05-23 K. A. Ariyawansa , Leonid Berlyand , Alexander Panchenko

A two dimensional amorphous material is modeled as an assembly of mesoscopic elemental pieces coupled together to form an elastically coherent structure. Plasticity is introduced as the existence of different minima in the energy landscape…

Materials Science · Physics 2007-07-05 E. A. Jagla

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

The deformation and flow of disordered solids, such as metallic glasses and concentrated emulsions, involves swift localized rearrangements of particles that induce a long-range deformation field. To describe these heterogeneous processes,…

Disordered Systems and Neural Networks · Physics 2019-01-02 Alexandre Nicolas , Ezequiel E. Ferrero , Kirsten Martens , Jean-Louis Barrat

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

Many organisms have an elastic skeleton that consists of a closed shell of epithelial cells that is filled with fluid, and can actively regulate both elastic forces in the shell and hydrostatic pressure inside it. In this work we introduce…

Soft Condensed Matter · Physics 2023-10-13 Ajoy Maji , Yitzhak Rabin

The presence of prestrain can have a tremendous effect on the mechanical behavior of slender structures. Prestrained elastic plates show spontaneous bending in equilibrium -- a property that makes such objects relevant for the fabrication…

Analysis of PDEs · Mathematics 2023-01-18 Klaus Böhnlein , Stefan Neukamm , David Padilla-Garza , Oliver Sander

We analyze a mesoscopic model of a shear stress material with a three dimensional slab geometry, under an external quasistatic deformation of a simple shear type. Relaxation is introduced in the model as a mechanism by which an unperturbed…

Soft Condensed Matter · Physics 2023-04-27 E. A. Jagla

We study computationally the creep and yielding of athermal gels and fibre network materials under a constant imposed shear stress, within a minimal model of interconnected filaments with central forces in $d=2$ spatial dimensions. Each…

Soft Condensed Matter · Physics 2026-01-23 Michael J. Hertaeg , Suzanne M. Fielding

We investigate a minimal model of the plastic deformation of amorphous materials. The material elements are assumed to exhibit ideally plastic behavior (J2 plasticity). Structural disorder is considered in terms of random variations of the…

Materials Science · Physics 2015-06-18 Stefan Sandfeld , Michael Zaiser

We demonstrate that plastic deformation in solids is associated with a dynamic transition that is reminiscent to the transition from a superconducting to a mixed phase in Type II superconductors. We report analytic calculations, extensive…

Soft Condensed Matter · Physics 2016-12-06 Saswati Ganguly , Juergen Horbach , Peter Sollich , Smarajit Karmakar , Surajit Sengupta

When stressed sufficiently, solid materials yield and deform plastically via reorganization of microscopic constituents. Indeed, it is possible to alter the micro-structure of materials by judicious application of stress, an empirical pro-…

Soft Condensed Matter · Physics 2021-08-09 K. L. Galloway , Xiaoguang Ma , Nathan C. Keim , Douglas J. Jerolmack , Arjun G. Yodh , Paulo E. Arratia

Crystal plasticity theory is often employed to predict the mesoscopic states of polycrystalline metals, and is well-known to be costly to simulate. Using a neural network with convolutional layers encoding correlations in time and space, we…

Computational Physics · Physics 2019-10-09 Ari Frankel , Kousuke Tachida , Reese Jones

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

A mesoscopic model for shear plasticity of amorphous materials in two dimensions is introduced, and studied through numerical simulations in order to elucidate the macroscopic (large scale) mechanical behavior. Plastic deformation is…

Soft Condensed Matter · Physics 2012-05-17 Mehdi Talamali , Viljo Petäjä , Damien Vandembroucq , Stéphane Roux

Observations are reported on isotactic polypropylene (i) in a series of tensile tests with a constant strain rate on specimens annealed for 24 h at various temperatures in the range from 110 to 150 C and (ii) in two series of creep tests in…

Materials Science · Physics 2015-06-24 A. D. Drozdov , J. deC. Christiansen

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

Liquid-liquid phase separation, whereby two liquids spontaneously demix, is ubiquitous in industrial, environmental, and biological processes. While isotropic fluids are known to condense into spherical droplets in the binodal region, these…

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