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This work rigorously implements a recent model of large-strain elasto-plastic evolution in single crystals where the plastic flow is driven by the movement of discrete dislocation lines. The model is geometrically and elastically nonlinear,…

偏微分方程分析 · 数学 2024-02-27 Filip Rindler

We study some hyperbolic partial integro-differential systems in domains with time dependent cracks. In particular, we give conditions on the cracks which imply the uniqueness of the solution with prescribed initial-boundary conditions, and…

偏微分方程分析 · 数学 2025-10-24 Federico Cianci , Gianni Dal Maso

We study the onset of delamination blisters in a growing elastic sheet adhered to a flat stiff substrate. When the ends of the sheet are kept fixed, its growth arouses residual stresses that lead to delamination. This instability can be…

软凝聚态物质 · 物理学 2016-07-07 Gaetano Napoli , Stefano Turzi

We study a variational model for the quasistatic growth of cracks with fractional di- mension in brittle materials. We give a minimal set of properties of the collection of admissible cracks which ensure the existence of a quasistatic…

最优化与控制 · 数学 2016-02-29 Gianni Dal Maso , Marco Morandotti

We investigate the wrinkling dynamics of an elastic filament immersed in a viscous fluid submitted to compression at a finite rate with experiments and by combining geometric nonlinearities, elasticity, and slender body theory. The drag…

软凝聚态物质 · 物理学 2017-08-30 Julien Chopin , Moumita Dasgupta , Arshad Kudrolli

Materials with memory, namely those materials whose mechanical and/or thermodynamical behaviour depends on time not only via the present time, but also through its past history, are considered. Specifically, a three dimensional viscoelastic…

数学物理 · 物理学 2019-06-03 Sandra Carillo

We investigate numerically the dynamics of crack propagation along a weak plane using a model consisting of fibers connecting a soft and a hard clamp. This bottom-up model has previously been shown to contain the competition of two crack…

无序系统与神经网络 · 物理学 2013-08-28 Knut Skogstrand Gjerden , Arne Stormo , Alex Hansen

Built on the tenets of rational thermodynamics, this article proposes a theory of strain gradient thermo-visco-plasticity for isotropic polycrystalline materials under high strain rates. The effect of micro-inertia, which arises due to…

材料科学 · 物理学 2016-01-28 Md M Rahaman , A Pathak , D Roy , J N Reddy

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…

材料科学 · 物理学 2023-05-10 Alan Needleman

We continue our investigation of finite deformation linear viscoelastodynamics by focusing on constructing accurate and reliable numerical schemes. The concrete thermomechanical foundation developed in the previous study paves the way for…

数值分析 · 数学 2023-05-26 Ju Liu , Jiashen Guan

We propose a dynamical theory of low-temperature shear deformation in amorphous solids. Our analysis is based on molecular-dynamics simulations of a two-dimensional, two-component noncrystalline system. These numerical simulations reveal…

统计力学 · 物理学 2009-10-30 M. L. Falk , J. S. Langer

A non-linear history-dependent cohesive zone model of crack propagation in linear elastic and visco-elastic materials is presented. The viscoelasticity is described by a linear Volterra integral operator in time. The normal stress on the…

数值分析 · 数学 2018-07-31 L. Hakim , S. E. Mikhailov

In this paper, we'll answer several abstract, formal questions about the nature of crack growth and nucleation. Bringing a field theory point of view to fracture illuminates things in what I hope will be an entertaining way. Formally, what…

材料科学 · 物理学 2007-05-23 James P. Sethna

We study the elasto-plastic behaviour of materials made of individual (discrete) objects, such as a liquid foam made of bubbles. The evolution of positions and mutual arrangements of individual objects is taken into account through…

软凝聚态物质 · 物理学 2015-05-18 Christophe Raufaste , Simon Cox , Philippe Marmottant , François Graner

We study experimentally the slow growth of a single crack in a fibrous material and observe stepwise growth dynamics. We model the material as a lattice where the crack is pinned by elastic traps and grows due to thermally activated stress…

统计力学 · 物理学 2009-11-10 Stephane Santucci , Loic Vanel , Sergio Ciliberto

This paper presents a formulation for brittle fracture in 3D elastic solids within the context of configurational mechanics. The local form of the first law of thermodynamics provides a condition for equilibrium of the crack front. The…

计算工程、金融与科学 · 计算机科学 2017-08-02 Lukasz Kaczmarczyk , Zahur Ullah , Chris J. Pearce

Superficial (two dimensional) crack patterns appear when a thin layer of material elastically attached to a substrate contracts. We study numerically the maturation process undergone by these crack patterns when they are allowed to adapt in…

统计力学 · 物理学 2009-11-10 E. A. Jagla

We show how to adapt the approach introduced for viscous damping in [1] to derive the approximate amplitude decay in the case of damping by a force of constant magnitude (sliding friction) and in the case of damping by a force proportional…

经典物理 · 物理学 2025-09-05 Karlo Lelas , Robert Pezer

The present paper demonstrates how a natural crack mosaic resembling a random tessellation evolves with repeated 'wetting followed by drying' cycles. The natural system here is a crack network in a drying colloidal material, for example, a…

软凝聚态物质 · 物理学 2023-08-16 Ruhul A I Haque , Atish J. Mitra , Sujata Tarafdar , Tapati Dutta

By revisiting a model proposed in [45], we address the accretive growth of a viscoelastic solid at large strains. The accreted material is assumed to accumulate at the boundary of the body in an unstressed state. The growth process is…

偏微分方程分析 · 数学 2025-08-28 Andrea Chiesa , Ulisse Stefanelli