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We show the existence of quasistatic evolutions in a fracture model for brittle materials by a vanishing viscosity approach, in the setting of planar linearized elasticity. The crack is not prescribed a priori and is selected in a class of…

偏微分方程分析 · 数学 2019-06-07 Stefano Almi , Giuliano Lazzaroni , Ilaria Lucardesi

The mechanical response of yield-stress materials below the yield point remains a subject of debate. Two of the most widely used constitutive models for these materials offer fundamentally conflicting views: one permits plastic flow at all…

The elastic coupling between plastic events is generally invoked to interpret plastic properties and failure of amorphous soft glassy materials. We report an experiment where the emergence of a self-organized plastic flow is observed well…

软凝聚态物质 · 物理学 2014-05-21 Le Bouil Antoine , Amon Axelle , McNamara Sean , Crassous Jérôme

The existence of a well defined yield stress, where a macroscopic piece of crystal begins to plastically flow, has been one of the basic observations of materials science. In contrast to macroscopic samples, in micro- and nanocrystals the…

A scaling model is developed to correlate relaxation time distribution of soft glassy materials to ultimate recovery. We propose that in the limit of creep-recovery time smaller than age, time translational invariance can be applied to…

软凝聚态物质 · 物理学 2009-02-09 Yogesh M. Joshi

We report two-dimensional simulations of strongly vibrated granular materials without gravity. The coefficient of restitution depends on the impact velocity between particles by taking into account both the viscoelastic and plastic…

其他凝聚态物理 · 物理学 2009-09-29 Sean Mcnamara , Eric Falcon

Materials are often heterogeneous at various length scales, with variations in grain structure, defects, and composition which has a strong influence on the emergent macroscopic plastic behavior. In particular, heterogeneities lead to…

材料科学 · 物理学 2024-06-17 Dénes Berta , David Kurunczi-Papp , Lasse Laurson , Péter Dusán Ispánovity

Brownian motion and viscoelasticity of semiflexible polymers is a subject that has been studied for many years. Still, rigorous analysis has been hindered due to the difficulty in handling the constraint that polymer chains cannot be…

软凝聚态物质 · 物理学 2024-05-22 Zhongqiang Xiong , Ryohei Seto , Masao Doi

We propose and rigorously analyse semi- and fully discrete discontinuous Galerkin methods for an initial and boundary value problem describing inertial viscoelasticity in terms of elastic and viscoelastic stress components, and with mixed…

数值分析 · 数学 2023-06-27 Salim Meddahi , Ricardo Ruiz-Baier

In this article, a semianalytical approach for demonstrating elastic waves propagation in nanostructures has been presented based on the modified couple-stress theory including acceleration gradients. Using the experimental results and…

计算物理 · 物理学 2017-06-21 Mohammad Reza Zamani Kouhpanji , Usef Jafaraghaei

We consider the recently introduced microcurl model which is a variant of strain gradient plasticity in which the curl of the plastic distortion is coupled to an additional micromorphic-type field. For both single crystal and polycrystal…

偏微分方程分析 · 数学 2016-08-23 Francois Ebobisse , Patrizio Neff , Samuel Forest

This paper focuses on the simultaneous homogenization and dimension reduction of periodic composite plates within the framework of non-linear elasticity. The composite plate in its reference (undeformed) configuration consists of a periodic…

偏微分方程分析 · 数学 2026-02-03 Amartya Chakrabortty , Georges Griso , Julia Orlik

We develop a thermodynamically consistent, fractional visco-elasto-plastic model coupled with damage for anomalous materials. The model utilizes Scott-Blair rheological elements for both visco-elastic/plastic parts. The constitutive…

数值分析 · 数学 2019-11-19 Jorge L. Suzuki , Yongtao Zhou , Marta D'Elia , Mohsen Zayernouri

The mechanical response, serviceability, and load bearing capacity of materials and structural components can be adversely affected due to external stimuli, which include exposure to a corrosive chemical species, high temperatures,…

材料科学 · 物理学 2016-07-20 C. Xu , M. K. Mudunuru , K. B. Nakshatrala

The viscoplastic deformation (creep) of crystalline materials under constant stress involves the motion of a large number of interacting dislocations. Analytical methods and sophisticated `dislocation-dynamics' simulations have proved very…

We present a gradient-based theoretical framework for predicting hydrogen assisted fracture in elastic-plastic solids. The novelty of the model lies in the combination of: (i) stress-assisted diffusion of solute species, (ii) strain…

材料科学 · 物理学 2020-07-15 Philip K. Kristensen , Christian F. Niordson , Emilio Martínez-Pañeda

Rapid solidification in Additively Manufactured (AM) metallic materials results in the development of significant microscale internal stresses, which are attributed to the printing induced dislocation substructures. The resulting backstress…

材料科学 · 物理学 2024-05-29 Namit Pai , Indradev Samajdar , Anirban Patra

We use the phase-field method to study the martensitic transformation at the nanoscale. For nanosystems such as nanowires and nanograins embedded in a stiff matrix, the geometric constraints and boundary conditions have an impact on…

材料科学 · 物理学 2008-07-23 Mathieu Bouville , Rajeev Ahluwalia

We develop a model for the gliding of dislocations and plasticity in solid He-4. This model takes into account the Peierls barrier, multiplication and interaction of dislocations, as well as classical thermally and mechanically activated…

We study stress time series caused by plastic avalanches in athermally sheared disordered materials. Using particle-based simulations and a mesoscopic elasto-plastic model, we analyze size and shear-rate dependence of the stress-drop…

软凝聚态物质 · 物理学 2016-02-12 Chen Liu , Ezequiel E. Ferrero , Francesco Puosi , Jean-Louis Barrat , Kirsten Martens