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In this paper, we introduce tensor involved peridynamics, a unified framework for simulating both isotropic and anisotropic materials. While traditional peridynamics models effectively simulate isotropic materials, they face challenges with…

材料科学 · 物理学 2024-12-23 Hao Tian , Jinlong Shao , Chenguang Liu , Shuo Liu , Xu Guo

We describe a 2D spring-block model for the transition from static to kinetic friction at an elastic slider/rigid substrate interface obeying a minimalistic friction law (Amontons-Coulomb). By using realistic boundary conditions, a number…

The recent surge in earthquake engineering is the use of machine learning methods to develop predictive models for structural behavior. Complex black-box models are typically used for decision making to achieve high accuracy; however, as…

地球物理 · 物理学 2022-05-19 Zeynep Tuna Deger , Gulsen Taskin Kaya

Elastomers are viscoelastic materials and their properties significantly depend on the loading rate. The actual stress experienced by these materials is the sum of equilibrium and dissipative (inelastic) terms. At very low loading rates we…

软凝聚态物质 · 物理学 2018-03-14 K. A. Mokhireva , A. L. Svistkov

We present a phase field modeling framework for hydrogen assisted cracking. The model builds upon a coupled mechanical and hydrogen diffusion response, driven by chemical potential gradients, and a hydrogen-dependent fracture energy…

数值分析 · 数学 2018-08-10 Emilio Martínez-Pañeda , Alireza Golahmar , Christian F. Niordson

Early age behaviour of concrete is based on complex multi-physical and multiscale phenomena. The predication of both cracking risk and residual stresses in hardened concrete structures is still a challenging task. We propose in this paper a…

经典物理 · 物理学 2008-12-18 Jihad Zreiki , Vincent Lamour , Mohend Chaouche , Micheline Moranville

A phenomenological model for the dissipation of scalar fluctuations due to the straining by the fluid motion is proposed in this letter. An explicit equation is obtained for the time evolution of the probability distribution function of a…

流体动力学 · 物理学 2015-06-26 Antoine Venaille , Joel Sommeria

Comparison of a few simple models of fluid and solid membranes illustrates how shear stresses can arise from a bending energy through a coupling between curvature and surface stresses, a feature incidental to the fluid or solid nature of…

软凝聚态物质 · 物理学 2025-06-03 S. Dharmavaram , J. A. Hanna

New lattice model for the gradient elasticity is suggested. This lattice model gives a microstructural basis for second-order strain-gradient elasticity of continuum that is described by the linear elastic constitutive relation with the…

材料科学 · 物理学 2015-01-08 Vasily E. Tarasov

A numerical model able to simulate solid-state constrained sintering is presented. The model couples an existing kinetic Monte Carlo (kMC) model for free sintering with a finite element model (FEM) for calculating stresses on a…

材料科学 · 物理学 2016-05-10 R. Bjørk , H. L. Frandsen , N. Pryds

We discuss the nonlinear elastic response in scale invariant solids. Following previous work, we split the analysis into two basic options: according to whether scale invariance (SI) is a manifest or a spontaneously broken symmetry. In the…

高能物理 - 理论 · 物理学 2020-09-15 Matteo Baggioli , Victor Cancer Castillo , Oriol Pujolas

The phase field fracture method has emerged as a promising computational tool for modelling a variety of problems including, since recently, hydrogen embrittlement and stress corrosion cracking. In this work, we demonstrate the potential of…

应用物理 · 物理学 2020-11-17 P. K. Kristensen , C. F. Niordson , E. Martínez-Pañeda

The interaction of crack fronts with asperities is central to the criteria of fracture in heterogeneous materials and for predicting fracture surface formation. It is known how dynamic crack fronts respond to small, 1st-order,…

软凝聚态物质 · 物理学 2025-09-17 Itamar Kolvin , Mokhtar Adda-Bedia

The aim of this work is to develop a neural network for modelling incompressible hyperelastic behaviour with isotropic damage, the so-called Mullins effect. This is obtained through the use of feed-forward neural networks with special…

计算物理 · 物理学 2024-11-21 Martin Zlatić , Marko Čanađija

In this article we propose a discrete lattice model to simulate the elastic, plastic and failure behaviour of isotropic materials. Focus is given on the mathematical derivation of the lattice elements, nodes and edges, in the presence of…

最优化与控制 · 数学 2015-05-12 Ioannis Dassios , Andrey Jivkov , Andrew Abu-Muharib , Peter James

Robust adaptive control of scalar plants in the presence of unmodeled dynamics is established in this paper. It is shown that implementation of a projection algorithm with standard adaptive control of a scalar plant ensures global…

系统与控制 · 计算机科学 2013-02-04 Heather S. Hussain , Megumi M. Matsutani , Anuradha M. Annaswamy , Eugene Lavretsky

A three-dimensional simulation model is proposed here to study the erosive wear of structure caused by solid particles, which accounts for the accumulation of surface deformation and degradation during the erosion process. Although there…

流体动力学 · 物理学 2025-03-04 Vinh D. X. Nguyen , A. Kiet Tieu , Damien Andre , Hongtao Zhu

We develop $H$(div)-conforming mixed finite element methods for the unsteady Stokes equations modeling single-phase incompressible fluid flow. A projection method in the framework of the incremental pressure correction methodology is…

数值分析 · 数学 2024-10-21 Costanza Aricò , Rainer Helmig , Ivan Yotov

This study addresses the modelling of elastic bodies, particularly when the relaxed configuration is unknown or non-existent. We adopt the theory of initially stressed materials, incorporating the deformation gradient and stress state of…

软凝聚态物质 · 物理学 2024-11-28 M. Magri , D. Riccobelli

This paper describes a modification of Ehlers' model for the inelastic behavior of granular media. The modified model can be applied for describing the inelastic behavior of porous media. The key feature is a subtle change of the yield…

软凝聚态物质 · 物理学 2023-07-21 Martin Abendroth , Alexander Malik , Bjoern Kiefer