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This work concerns the continuum basis and numerical formulation for deformable materials with viscous dissipative mechanisms. We derive a viscohyperelastic modeling framework based on fundamental thermomechanical principles. Since most…

数值分析 · 数学 2021-08-12 Ju Liu , Marcos Latorre , Alison L. Marsden

In this article we derive rigorously a nonlinear, steady, bifurcation through spectral bifurcation (i.e., eigenvalues of the linearized equation crossing the imaginary axis) for a class of hyperbolic-parabolic model in a strip. This is…

偏微分方程分析 · 数学 2019-07-10 Rafael de Araújo Monteiro

Finding an accurate stress-strain relation, able to describe the mechanical behavior of metals during {forming} and machining processes, is an important challenge in several fields of mechanics, with significant repercussions in the…

材料科学 · 物理学 2020-03-03 Francesco P. Pinnola , Giorgio Zavarise , Antonio Del Prete , Rodolfo Franchi

In this paper, we calibrate the coefficients for the one-dimensional Reynolds stress model with the data generated from the three-dimensional numerical simulations of upward overshooting in turbulent compressible convection. It has been…

太阳与恒星天体物理 · 物理学 2020-06-17 Tao Cai

We propose four-field and five-field Hu--Washizu-type mixed formulations for nonlinear poroelasticity -- a coupled fluid diffusion and solid deformation process -- considering that the permeability depends on a linear combination between…

数值分析 · 数学 2025-02-20 Bishnu P. Lamichhane , Ricardo Ruiz-Baier , Segundo Villa-Fuentes

In this paper we develop a new Peridynamic approach that naturally includes varying horizon sizes and completely solves the "ghost force" issue. Therefore, the concept of dual-horizon is introduced to consider the unbalanced interactions…

计算物理 · 物理学 2016-09-12 Huilong Ren , Xiaoying Zhuang , Yongchang Cai , Timon Rabczuk

This work introduces a port-Hamiltonian (PH) model for constrained mechanical systems, which is directly derived from the Lagrangian equations of motion. The present PH framework incorporates a singularity-free director representation of…

动力系统 · 数学 2026-03-16 Lisa Latussek , Philipp L. Kinon , Peter Betsch

Pore-resolved direct numerical simulations of turbulent open channel flow are performed comparing the structure and dynamics of turbulence over impermeable rough and smooth walls to a porous sediment bed at permeability Reynolds number…

流体动力学 · 物理学 2022-05-02 Shashank K. Karra , Sourabh V. Apte , Xiaoliang He , Timothy D. Scheibe

We establish the a-priori convergence rate for finite element approximations of a class of nonlocal nonlinear fracture models. We consider state based peridynamic models where the force at a material point is due to both the strain between…

数值分析 · 数学 2019-03-05 Prashant K. Jha , Robert Lipton

To study the Reynolds stresses which describe turbulent momentum transport from turbulence affected by large-scale shear and rotation. Three-dimensional numerical simulations are used to study turbulent transport under the influences of…

太阳与恒星天体物理 · 物理学 2009-11-19 J. E. Snellman , P. J. Käpylä , M. J. Korpi , A. J. Liljeström

We present the formulation for finding the distribution of eigenstrains, i.e. the sources of residual stress, from a set of measurements of residual elastic strain (e.g. by diffraction), or residual stress, or stress redistribution, or…

材料科学 · 物理学 2007-05-23 Alexander M. Korsunsky , Gabriel M. Regino , David Nowell

Hypo-elastoplasticity is a framework suitable for modeling the mechanics of many hard materials that have small elastic deformation and large plastic deformation. In most laboratory tests for these materials the Cauchy stress is in…

计算物理 · 物理学 2025-01-22 Jiayin Lu , Chris H. Rycroft

We prove the existence of at least two geometrically different periodic solution with winding number N for the forced relativistic pendulum. The instability of a solution is also proved. The proof is topological and based on the version of…

动力系统 · 数学 2020-04-22 Stefano Marò

The deformation of brittle material is primarily accompanied by micro-cracking and faulting. However, it has often been found that continuum fluid models, usually based on a non-Newtonian viscosity, are applicable. To explain this rheology,…

材料科学 · 物理学 2016-12-28 K. Z. Nanjo

Polymeric thin films of various thicknesses, confined between two repulsive walls, have been studied by molecular dynamics simulations. Using the anisotropy of the perpendicular and parallel components of the pressure tensor the surface…

软凝聚态物质 · 物理学 2009-10-31 F. Varnik , J. Baschnagel , K. Binder

The accurate quantification of wall-shear stress dynamics is of substantial importance for various applications in fundamental and applied research, spanning areas from human health to aircraft design and optimization. Despite significant…

流体动力学 · 物理学 2025-07-02 Esther Lagemann , Julia Roeb , Steven L. Brunton , Christian Lagemann

High-spatial-resolution (HSR) two-component, two-dimensional particle-image-velocimetry (2C-2D PIV) measurements of a zero-pressure-gradient (ZPG) turbulent boundary layer (TBL) and an adverse-pressure-gradient (APG)-TBL were taken in the…

The Hierarchical Dirichlet Process Hidden Markov Model (HDP-HMM) is a natural Bayesian nonparametric extension of the classical Hidden Markov Model for learning from (spatio-)temporal data. A sticky HDP-HMM has been proposed to strengthen…

机器学习 · 计算机科学 2024-11-08 Mikołaj Słupiński , Piotr Lipiński

Dynamic models, particularly rate-dependent models, have proven effective in capturing the key phenomenological features of frictional processes, whilst also possessing important mathematical properties that facilitate the design of control…

系统与控制 · 电气工程与系统科学 2026-02-12 Luigi Romano , Ole Morten Aamo , Jan Åslund , Erik Frisk

A wide range of natural and industrial processes involve heat and mass transport in porous media. In some important cases the transported substance may undergo phase change, e.g. from liquid to solid and vice versa in the case of freezing…

应用物理 · 物理学 2026-05-22 Petr Nikolaev , Majid Sedighi , Andrey P Jivkov , Lee Margetts