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Elastic systems driven in a disordered medium exhibit a depinning transition at zero temperature and a creep regime at finite temperature and slow drive $f$. We derive functional renormalization group equations which allow to describe in…

Disordered Systems and Neural Networks · Physics 2009-10-31 Pascal Chauve , Thierry Giamarchi , Pierre Le Doussal

The present work introduces a novel numerical approach for the process modeling of fiber-reinforced thermoset polymers at the micro-scale level, that can be used to predict curing-induced residual stresses. The cure kinetics is described…

Applied Physics · Physics 2022-12-14 Manish H. Nagaraj , Marianna Maiaru

For the numerical simulation of time-dependent problems, recent works suggest the use of a time marching scheme based on a tensorial decomposition of the time axis. This time-separated representation is straightforwardly introduced in the…

Computational Engineering, Finance, and Science · Computer Science 2023-04-24 Angelo Pasquale , Sebastian Rodriguez , Khanh Nguyen , Amine Ammar , Francisco Chinesta

We numerically investigate the athermal creep deformation of amorphous materials having a wide range of stability. The imposed shear stress serves as the control parameter, allowing us to examine the time-dependent transient response…

Soft Condensed Matter · Physics 2025-10-13 Pinaki Chaudhuri , Ludovic Berthier , Misaki Ozawa

Creep is a time-dependent deformation of solids at relatively low stresses, leading to the breakdown with time. Here we propose a simple model for creep failure of disordered solids, in which temperature and stress are controllable. Despite…

Disordered Systems and Neural Networks · Physics 2020-05-06 Subhadeep Roy , Takahiro Hatano

We study the internal dynamical processes taking place in a granular packing below yield stress. At all packing fractions and down to vanishingly low applied shear, a logarithmic creep is evidenced. The experiments are analyzed under the…

Soft Condensed Matter · Physics 2011-06-28 Van Bau Nguyen , Thierry Darnige , Ary Bruand , Eric Clement

Polymer-based plastics exhibit time-dependent deformation under constant stress, known as creep, which can lead to rupture or static fatigue. A common misconception is that materials under tolerable static loads remain unaffected over time.…

Classical Physics · Physics 2025-10-15 José Geraldo Telles Ribeiro , Americo Cunha

Selective laser melting is receiving increasing interest as an additive manufacturing technique. Residual stresses induced by the large temperature gradients and inhomogeneous cooling process can favour the generation of cracks. In this…

Materials Science · Physics 2021-07-20 Nicolò Grilli , Daijun Hu , Dewen Yushu , Fan Chen , Wentao Yan

Although strain-based models have been widely adopted in robotics, no comparison beyond the uniform bending test is commonly recognized to assess their performance. In addition, the increasing effort in prototyping continuum robots…

Robotics · Computer Science 2026-02-27 Annika Delucchi , Vincenzo Di Paola , Andreas Müller , and Matteo Zoppi

We investigate the mixed spin-$(s,\tfrac12)$ Ising model on a Cayley tree of order three ($k=3$), extending the approach of \cite{Akin2024}. For the representative case $s=5$, the associated recursion leads to an 11-dimensional dynamical…

Mathematical Physics · Physics 2026-02-17 Hasan Akin

Investigations of natural variation among cells within a population are essential for understanding the stochastic nature of tissue cell deformation under applied load. In the existing literature, the population variation of single-cell…

Cell Behavior · Quantitative Biology 2011-07-14 John M. Maloney , Krystyn J. Van Vliet

The quasistatic rate-independent damage combined with linearized plasticity with hardening at small strains is investigated. The fractional-step time discretisation is devised with the purpose to obtain a numerically efficient scheme…

Numerical Analysis · Mathematics 2015-06-05 Tomáš Roubíček , Jan Valdman

The slow motion of a crack line is studied via an experiment in which sheets of paper are split into two halves in a ``peel-in-nip'' (PIN) geometry under a constant load, in creep. The velocity-force relation is exponential. The dynamics of…

Statistical Mechanics · Physics 2009-11-13 J. Koivisto , J. Rosti , M. J. Alava

Creep in single crystal Nickel-based superalloys has been a topic of interest since decades, and nowadays simulations are more and more able to complement experiments. In these alloys, the $\gamma/\gamma'$ phase microstructure co-evolves…

Materials Science · Physics 2017-02-09 Ronghai Wu , Michael Zaiser , Stefan Sandfeld

In this work, the influence of the plastic size effect on the fracture process of metallic materials is numerically analyzed using the strain-gradient plasticity (SGP) theory established from the Taylor dislocation model. Since large…

Materials Science · Physics 2017-10-17 E. Martínez-Pañeda , C. Betegón

This paper proposes a thermodynamically consistent phase-field damage model for viscoelastic materials. Suitable free-energy and pseudo-potentials of dissipation are developed to build a model leading to a stress-strain relation, under the…

Numerical Analysis · Mathematics 2022-01-12 Thaís C. da Costa Haveroth , Geovane A. Haveroth , Marco L. Bittencourt , José L. Boldrini

Sloped terrains tend to creep downward over time, even when their slope is below the nominal angle of repose. This behavior can result from periodic variations in environmental conditions, such as daily or seasonal fluctuations in…

Disordered Systems and Neural Networks · Physics 2025-07-31 Ezequiel E. Ferrero , Eduardo A. Jagla

We study a one-dimensional model of a dislocation pileup driven by an external stress and interacting with random quenched disorder, focusing on predictability of the plastic deformation process. Upon quasistatically ramping up the…

Materials Science · Physics 2020-12-21 Mika Sarvilahti , Audun Skaugen , Lasse Laurson

Creep is defined as time-dependent deformation and rupture processes taking place within a material subjected to a constant applied stress smaller than its athermal, time-independent strength. This time-dependence is classically attributed…

Soft Condensed Matter · Physics 2023-02-24 Jerome Weiss , David Amitrano

We use a custom shear cell coupled to an optical microscope to investigate at the particle level the yielding transition in concentrated emulsions subjected to an oscillatory shear deformation. By performing experiments lasting thousands of…

Soft Condensed Matter · Physics 2014-08-27 E. D. Knowlton , D. J. Pine , L. Cipelletti