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This paper has evolved out of our previous work on static stress transfer, where we used the full-space elastostatic Green's tensor to compute the Coulomb stress transfer impact of the Landers earthquake on the Hector Mine event. In this…

地球物理 · 物理学 2013-05-01 Musa Maharramov

A phase-field model is used to capture the surfactant-driven formation of fracture patterns in particulate monolayers. The model is intended for the regime of closely-packed systems in which the mechanical response of the monolayer can be…

软凝聚态物质 · 物理学 2017-06-30 Christian Peco , Wei Chen , Yingjie Liu , M. M. Bandi , John E. Dolbow , Eliot Fried

We consider hyperelastic problems and their numerical solution using a conforming finite element discretization and iterative linearization algorithms. For these problems, we present equilibrated, weakly symmetric, $H(\rm{div)}$-conforming…

数值分析 · 数学 2017-10-19 Michele Botti , Rita Riedlbeck

The stability of dry-snow avalanches is strongly dependent on the interaction between the snow slab above a weak-layer and, as presented in this work, the skier induced load. This induced load causes an additional stress field on the slab…

地球物理 · 物理学 2020-09-03 Marcus Landschulze

A continuum (Mullins-type) model is formulated for the isotropic evolution of a solid surface on which the mass transport occurs by oscillatory surface diffusion. The time-space oscillations of diffusivity are assumed to be induced by…

材料科学 · 物理学 2007-05-23 Mikhail Khenner

Discrete mechanics makes it possible to formulate any problem of fluid mechanics or fluid-structure interaction in velocity and potentials of acceleration; the equation system consists of a single vector equation and potentials updates. The…

流体动力学 · 物理学 2020-04-02 Jean-Paul Caltagirone , Stephane Vincent

Integral expressions are determined for the elastic displacement and stress fields due to stationary or moving dislocation loops in finite samples. These general expressions are valid for anisotropic media as well. Specifically for the…

凝聚态物理 · 物理学 2017-02-08 Rodrigo Arias

Stiffness degradation and progressive failure of composite laminates are complex processes involving evolution and multi-mode interactions among fiber fractures, intra-ply matrix cracks and inter-ply delaminations. This paper presents a…

数值分析 · 数学 2023-11-06 Jiakun Liu , Stuart Leigh Phoenix

The friction force observed at macroscale is the result of interactions at various lower length scales that are difficult to model in a combined manner. For this reason, simplified approaches are required, depending on the specific aspect…

材料科学 · 物理学 2018-01-12 Gianluca Costagliola , Federico Bosia , Nicola M. Pugno

We introduce a class of damage models on regular lattices with isotropic interactions, as e.g. quasistatic fiber bundles. The system starts intact with a surface-energy threshold required to break any cell sampled from an uncorrelated…

统计力学 · 物理学 2009-11-10 Renaud Toussaint , Steven R. Pride

A new predictor-corrector type incremental algorithm is proposed for the exact construction of weighted straight skeletons of 2D general planar polygons of arbitrary complexity based on the notion of deforming polygon. In the proposed…

计算几何 · 计算机科学 2020-11-18 Baris Irhan

A recent theory for stress transmission in isostatic granular and cellular systems predicts a constitutive equation that couples the stress field to the local microstructure. The theory could not be applied to macroscopic systems because…

软凝聚态物质 · 物理学 2009-11-10 Raphael Blumenfeld

We study the Stokes problem in a bounded planar domain $\Omega$ with a friction type boundary condition that switches between a slip and no-slip stage. Unlike our previous work [6], in the present paper the threshold value may depend on the…

偏微分方程分析 · 数学 2016-01-22 Jaroslav Haslinger , Jan Stebel

Model reduction of high-dimensional dynamical systems alleviates computational burdens faced in various tasks from design optimization to model predictive control. One popular model reduction approach is based on projecting the governing…

动力系统 · 数学 2018-08-24 Francisco J. Gonzalez , Maciej Balajewicz

A spatiotemporal deep learning framework is proposed that is capable of 2D full-field prediction of fracture in concrete mesostructures. This framework not only predicts fractures but also captures the entire history of the fracture…

计算工程、金融与科学 · 计算机科学 2024-07-25 Rasoul Najafi Koopas , Shahed Rezaei , Natalie Rauter , Richard Ostwald , Rolf Lammering

We derive an orthotropic model to describe the cyclic stress-softening of a carbon-filled rubber vulcanizate through multiple stress-strain cycles with increasing values of the maximum strain. We specialize the deformation to pure shear…

经典物理 · 物理学 2020-06-23 S. R. Rickaby , N. H. Scott

This study presents the formulation, the numerical solution, and the validation of a theoretical framework based on the concept of variable-order mechanics and capable of modeling dynamic fracture in brittle and quasi-brittle solids. More…

材料科学 · 物理学 2020-08-26 Sansit Patnaik , Fabio Semperlotti

Fatigue simulation requires accurate modeling of unloading and reloading. However, classical ductile damage models treat deformations after complete failure as irrecoverable -- which leads to unphysical behavior during unloading. This…

计算工程、金融与科学 · 计算机科学 2023-12-06 Leon Herrmann , Alireza Daneshyar , Stefan Kollmannsberger

We present a physical model for turbulent friction on rough surfaces with regularly distributed roughness elements. Wall shear stresses are expressed as functions of physical quantities. Surfaces with varying roughness densities and…

流体动力学 · 物理学 2016-10-24 Zhuoqun Li , Xiaojing Zheng

Generalized method of moments estimators based on higher-order moment conditions derived from independent shocks can be used to identify and estimate the simultaneous interaction in structural vector autoregressions. This study highlights…

计量经济学 · 经济学 2023-10-13 Sascha A. Keweloh