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This paper presents a comprehensive computational framework for investigating thermo-elastic fracture in transversely isotropic materials, where classical linear elasticity fails to predict physically realistic behavior near stress…

数值分析 · 数学 2025-10-08 Saugata Ghosh , Dambaru Bhatta , S. M. Mallikarjunaiah

A geometrically nonlinear finite element model is developed for the bending analysis of micropolar Timoshenko beams using the principle of virtual displacements and linear Lagrange interpolation functions. The nonlinearity enters the model…

经典物理 · 物理学 2019-02-28 Praneeth Nampally , Anssi T. Karttunen , JN Reddy

This paper outlines an energy-minimization finite-element approach to the computational modeling of equilibrium configurations for nematic liquid crystals under free elastic effects. The method targets minimization of the system free energy…

数值分析 · 数学 2014-02-17 J. H. Adler , T. J. Atherton , D. B. Emerson , S. P. MacLachlan

In this paper we develop a simple finite element method for simulation of embedded layers of high permeability in a matrix of lower permeability using a basic model of Darcy flow in embedded cracks. The cracks are allowed to cut through the…

数值分析 · 数学 2017-09-05 Erik Burman , Peter Hansbo , Mats G. Larson

This work presents a practical finite element modeling strategy, the Crack Element Method (CEM), for simulating the dynamic crack propagation in two-dimensional structures. The method employs an element-splitting algorithm based on the…

计算工程、金融与科学 · 计算机科学 2025-08-04 Yuxi Xie , Ethan J. Wu , Lu Xu , Jimmy Perez , Shaofan Li

We evaluate a number of different finite element approaches for fluid-structure (contact) interaction problems against data from physical experiments. For this we take the data from experiments by Hagemeier [Mendeley Data, doi:…

流体动力学 · 物理学 2021-03-03 Henry von Wahl , Thomas Richter , Stefan Frei , Thomas Hagemeier

We construct a finite element approximation of a strain-limiting elastic model on a bounded open domain in $\mathbb{R}^d$, $d \in \{2,3\}$. The sequence of finite element approximations is shown to exhibit strong convergence to the unique…

数值分析 · 数学 2020-04-02 Andrea Bonito , Vivette Girault , Endre Süli

We propose and analyse a novel surface finite element method that preserves the invariant regions of systems of semilinear parabolic equations on closed compact surfaces in $\mathbb{R}^3$ under discretisation. We also provide a…

Given that the coupling of a framing structure to a strong, rocking wall enforces a first-mode response, this paper investigates the dynamic response of a yielding single-degree-of-freedom oscillator coupled to a rocking wall with…

地球物理 · 物理学 2022-07-05 Mehrdad Aghagholizadeh , Nicos Makris

This paper deals with the asymptotic behavior and FEM error analysis of a class of strongly damped wave equations using a semidiscrete finite element method in spatial directions combined with a finite difference scheme in the time…

数值分析 · 数学 2025-11-03 Krishan Kumar , P. Danumjaya , Anil Kumar , Amiya K. Pani

A two-dimensional, transient, multi-scale modeling approach is presented for predicting the magnitude and rate of percolation segregation for binary mixtures of granular material in a rotating drum and conical hopper. The model utilizes…

软凝聚态物质 · 物理学 2018-10-08 Yu Liu , Marcial Gonzalez , Carl Wassgren

Numerical simulation of nonlinear elastic wave propagation in solids with cracks is indispensable for decoding the complicated mechanisms associated with the nonlinear ultrasonic techniques in Non-Destructive Testing (NDT). Here, we…

地球物理 · 物理学 2019-07-31 Ke Gao , Esteban Rougier , Robert Guyer , Zhou Lei , Paul A. Johnson

In this paper, we propose a new formulation and a suitable finite element method for the steady coupling of viscous flow in deformable porous media using divergence-conforming filtration fluxes. The proposed method is based on the use of…

A vertical slice model is developed for the Euler-Boussinesq equations with a constant temperature gradient in the direction normal to the slice (the Eady-Boussinesq model). The model is a solution of the full three-dimensional equations…

The potentially significant role of the surface of an elastic body in the overall response of the continuum can be described using the mature theory of surface elasticity. The objective of this contribution is to detail the finite element…

数值分析 · 数学 2015-06-04 Andrew McBride , Ali Javili , Paul Steinmann , B Daya Reddy

We present a multiscale simulation framework that couples the Finite Element Method with molecular dynamics. Bypassing traditional equations of state (EOS) by using in-line atomistic simulations, the method offers the advantage of…

Application of finite element method and heat conductivity transfer model for calculation of temperature distribution in receiver for dish-Stirling concentrating solar system is described. The method yields discretized equations that are…

计算工程、金融与科学 · 计算机科学 2007-05-23 Stanko Shtrakov , Anton Stoilov

Damping of structures and systems is often dominated by frictional dissipation in connections, the prediction of which remains a longstanding scientific challenge. Previous studies have shown that the actual topography of contact interfaces…

计算工程、金融与科学 · 计算机科学 2026-03-30 Hendrik D. Linder , David A. Najera-Flores , Robert J. Kuether , Malte Krack

The estimation of the degree of risk of steel storage tanks from an industrial or nuclear power plant during an earthquake event is a very difficult task since the dynamic behaviour of the tank-liquid system is highly complex. The seismic…

数值分析 · 数学 2018-05-03 Hoang Nam Phan , Fabrizio Paolacci

This article investigates a space-time differential model related to the degradation of stone artifacts caused by exposure to air and atmospheric agents, which specifically lead to the accumulation of salt crystals in the material. A…