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A comprehensive 3-D finite element formulation for the coupled thermoelastic system is proposed based on the Total Lagrangian framework to study the thermoelastic damping (TED) in small scale structures. The proposed formulation takes into…

Computational Engineering, Finance, and Science · Computer Science 2024-09-25 Saurabh Dixit

Finite element simulations are an enticing tool to evaluate heart valve function in healthy and diseased patients; however, patient-specific simulations derived from 3D echocardiography are hampered by several technical challenges. In this…

In the present work, the evolution of damage in periodic composite materials is investigated through a novel finite element-based multiscale computational approach. The methodology is developed by means of the original combination of…

Numerical Analysis · Mathematics 2019-08-09 Francesca Fantoni , Andrea Bacigalupo , Marco Paggi , Josè Reinoso

A finite element simulation of the mechanical behaviour of woven textile materials at the scale of individual fibers is proposed in this paper. The aim of the simulation is to understand and identify phenomena involved at different scales…

Soft Condensed Matter · Physics 2008-12-18 Damien Durville

A homogenization approach is one of effective strategies to solve multiscale elliptic problems approximately. The finite element heterogeneous multiscale method (FEHMM) which is based on the finite element makes possible to simulate such…

Numerical Analysis · Mathematics 2022-01-27 Jaeryun Yim , Dongwoo Sheen , Imbo Sim

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…

Deformation heterogeneities within microstructures of polycrystalline shape memory alloys (SMAs) during superelastic stressing are studied using both experiments and simulations. In situ X-ray diffraction, specifically the far-field high…

We present a novel parallelization strategy for evaluating Finite Element Method (FEM) variational forms on GPUs, focusing on those that are expressible through the Unified Form Language (UFL) on simplex meshes. We base our approach on code…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-24 Kaushik Kulkarni , Andreas Klöckner

We analyse wave propagation in two-dimensional bianisotropic media with the Finite Element Method (FEM). We start from the Maxwell-Tellegen's equations in bianisotropic media, and derive some system of coupled Partial Difference Equations…

Optics · Physics 2016-12-21 Yan Liu , Boris Gralak , Sebastien Guenneau

In this paper, we consider multiscale methods for nonlinear elasticity. In particular, we investigate the Generalized Multiscale Finite Element Method (GMsFEM) for a strain-limiting elasticity problem. Being a special case of the naturally…

Numerical Analysis · Mathematics 2022-05-24 Shubin Fu , Eric Chung , Tina Mai

This paper describes a two-dimensional (2D) finite element simulation for fracture and fatigue behaviours of pure alumina microstructures such as those found at hip prostheses. Finite element models are developed using actual Al2O3…

Medical Physics · Physics 2012-04-03 Kyungmok Kim , Bernard Forest , Jean Géringer

In this paper, we extend the recently proposed extended scaled boundary finite element method (xSBFEM)~\cite{natarajansong2013} to study fracture parameters of interfacial cracks and cracks terminating at the interface. The approach is also…

Numerical Analysis · Mathematics 2014-07-14 Sundararajan Natarajan , Chongmin Song , Salim Belouettar

Surfactants play an important role in various physiological and biomechanical applications. An example is the respiratory system, where pulmonary surfactants facilitate the breathing and reduce the possibility of airway blocking by lowering…

Soft Condensed Matter · Physics 2019-02-19 Farshad Roohbakhshan , Roger A. Sauer

The performance evaluation of a potentially unstable slope involves two key components: the initiation of the slope failure and the post-failure runout. The Finite Element Method (FEM) excels at modeling the initiation of instability but…

Geophysics · Physics 2022-06-16 Brent Sordo , Ellen Rathje , Krishna Kumar

A time domain finite element numerical study of impedance spectroscopy in composite electroceramics is presented. The simulations take into account the complexity of the realistic three dimensional granular structure including grains and…

Materials Science · Physics 2012-09-19 Alexander Goncharov , Gino Hrkac , Julian Dean , Thomas Schrefl

Within the finite element community, discontinuous Galerkin (DG) and mixed finite element methods have become increasingly popular in simulating geophysical flows. However, robust and efficient solvers for the resulting saddle-point and…

Mathematical Software · Computer Science 2020-08-26 Thomas H. Gibson , Lawrence Mitchell , David A. Ham , Colin J. Cotter

An accurate description of elastic effects of coherent microstructures is necessary for the predictive modeling of microstructural evolution in many structural materials. To date, there has not been a demonstration on how continuum…

Materials Science · Physics 2024-11-06 Anas Abu-Odeh , James Warren

Cut finite element method (CutFEM) based approaches towards challenging fluid-structure interaction (FSI) are proposed. The different considered methods combine the advantages of competing novel Eulerian (fixed-grid) and established…

Computational Engineering, Finance, and Science · Computer Science 2018-07-31 Benedikt Schott , Christoph Ager , Wolfgang A. Wall

The stability, robustness, accuracy, and efficiency of space-time finite element methods crucially depend on the choice of approximation spaces for test and trial functions. This is especially true for high-order, mixed finite element…

Numerical Analysis · Mathematics 2023-08-15 Nilima Nigam , David M. Williams

In this work, the finite elements method (FEM) is used to analyse the growth of fretting cracks. FEM can be favourably used to extract the stress intensity factors in mixed mode, a typical situation for cracks growing in the vicinity of a…

Geophysics · Physics 2011-02-24 Henry Proudhon , Stéphanie Basseville
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