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Unstable homoepitaxy on rough substrates is treated within a linear continuum theory. The time dependence of the surface width W(t) is governed by three length scales: The characteristic scale $l_0$ of the substrate roughness, the terrace…

Statistical Mechanics · Physics 2009-10-31 Joachim Krug , Martin Rost

A thin flat rectangular plate supported on its edges and subjected to in-plane loading exhibits stable post-buckling behaviour. However, the introduction of a nonlinear (softening) elastic foundation may cause the response to become…

Pattern Formation and Solitons · Physics 2016-03-18 M. Khurram Wadee , David J. B. Lloyd , Andrew P. Bassom

Mechanical stability of Ag and Cu printed and evaporated metallization lines on polymer substrates is investigated by means of monotonic tensile and cyclic bending tests. It is shown that lines which demonstrate good performance during…

Materials Science · Physics 2019-04-10 Oleksandr Glushko , Andreas Klug , Emil J. W. List-Kratochvil , Megan J. Cordill

Progressive damage, which eventually leads to failure, is ubiquitous in biological and synthetic polymers. The simplest case to consider is that of elastomeric materials, which can undergo large reversible deformations with negligible rate…

Soft Condensed Matter · Physics 2018-02-14 Brandon Talamini , Yunwei Mao , Lallit Anand

Oriented block copolymers exhibit a buckling instability when submitted to a tensile test perpendicular to the lamellae direction. In this paper we study this behavior using a coarse grained molecular dynamics simulation approach. Coarse…

Materials Science · Physics 2014-03-05 Ali Makke , Olivier Lame , Michel Perez , Jean-Louis Barrat

A theoretical model describing the one-dimensional large strain consolidation of the modified Cam Clay soil is presented in this paper. The model is based on the Lagrangian formulation, and is capable of featuring the variability of soil…

Geophysics · Physics 2024-10-08 Sheng-Li Chen , Hai-Sui Yu , Younane N. Abousleiman , Christopher E. Kees

A polycrystalline solid is modelled as an ensemble of random irregular polyhedra filling the entire space occupied by the solid body, leaving no voids or flaws between them. Adjacent grains can slide with a relative velocity proportional to…

Materials Science · Physics 2025-11-03 Miguel Lagos

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

Understanding the coupled thermo-mechanical behaviour of compacted granular beds can benefit various industrial applications, such as pebble bed design in fusion reactors. In this study, a thermo-mechanical discrete element method based on…

Soft Condensed Matter · Physics 2021-04-02 Si Suo , Marigrazia Moscardini , Verena Becker , Yixiang Gan , Marc Kamlah

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

Hysteretic damping is often modeled by means of linear viscoelastic approaches such as "nearly constant Attenuation (NCQ)" models. These models do not take into account nonlinear effects either on the stiffness or on the damping, which are…

Classical Physics · Physics 2010-07-28 Nicolas Delépine , Luca Lenti , Guy Bonnet , Jean-François Semblat

Past models of stress-strain response under cyclic loading mainly rely on macroscopic equations which consider microstructure evolution indirectly or simply discard microstructure information. Modern materials science, on the other hand,…

Materials Science · Physics 2018-08-31 Ronghai Wu , Michael Zaiser

The process of structural relaxation in disordered solids subjected to repeated tension-compression loading is studied using molecular dynamics simulations. The binary glass is prepared by rapid cooling well below the glass transition…

Soft Condensed Matter · Physics 2020-05-04 Pritam Kumar Jana , Nikolai V. Priezjev

This work models brittle fracture using a linearized surface-substrate theory in which the crack faces possess surface stresses derived from a surface strain-gradient elastic energy. The model incorporates surface stretching, curvature, and…

Mathematical Physics · Physics 2026-01-09 C. Rodriguez , A. Zemlyanova

In this paper we present a dimensional reduction to obtain a one-dimensional model to analyze localized necking or bulging in a residually stressed circular cylindrical solid. The nonlinear theory of elasticity is first specialized to…

Soft Condensed Matter · Physics 2024-03-20 Yang Liu , Xiang Yu , Luis Dorfmann

The modelling of heterogeneous and architected materials poses a significant challenge, demanding advanced homogenisation techniques. However, the complexity of this task can be considerably simplified through the application of micropolar…

Soft Condensed Matter · Physics 2024-02-27 Adrianos E. F. Athanasiadis , Michal K. Budzik , Dilum Fernando , Marcelo A. Dias

The two-phase composite approach of Estrin et al. (1998) describes an evolving dislocation cell structure. Mckenzie et al. (2007) enhanced the model to capture the effects of hydrostatic pressure and temperature during severe plastic…

Materials Science · Physics 2013-03-08 C. B. Silbermann , A. V. Shutov , J. Ihlemann

The effective macroscopic response of nonlinear elastomeric inhomogeneous materials is of great interest in many applications including nonlinear composite materials and soft biological tissues. The interest of the present work is…

Mathematical Physics · Physics 2015-06-11 Riccardo De Pascalis , I. David Abrahams , William J. Parnell

Constitutive equations are derived for the viscoelastic behavior of particle-reinforced rubbers at isothermal loading with finite strains. A filled rubber is thought of as a composite medium where inclusions with high and low concentrations…

Materials Science · Physics 2007-05-23 Aleksey D. Drozdov , Al Dorfmann

We present a new mechanistic framework for corrosion-induced cracking in reinforced concrete that resolves the underlying chemo-mechanical processes. The framework combines, for the first time, (i) a model for reactive transport and…

Computational Engineering, Finance, and Science · Computer Science 2023-06-06 E. Korec , M. Jirasek , H. S. Wong , E. Martínez-Pañeda