Contact Stresses: Analysis by Finite Element Method (FEM)
Procedia Technology, 2014 This paper presents a study by the Finite Element Method (FEM) of the contact tensions between two bodies and the results obtained are compared with the calculations obtained on basis of the relations of the theory of H. Hertz.
L. Brezeanu
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AI-Enhanced Finite Element Method (FEM) for Structural Analysis
Journal of Electrical SystemsThe Finite Element Method (FEM) has been the foundation of computational structural analysis for a very long time; yet, because to its high computing demand, it has limits when used to applications that are data-intensive, real-time, and large-scale.
S. K. Sahani
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Finite Element Method (FEM): bar elements
, 2023 <p>Finite Element Method (FEM) codes in Matlab and Python for beam, plane frame, and plane truss structures static and modal analysis. Functions for the determination of stiffness and mass matrices are presented, in addition to displacements, nodal
Daniele Kauctz Monteiro
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A residual based A POSTERIORI error estimator for an augmented mixed finite element method in linear elasticity [PDF]
, 2005 In this paper we develop a residual based a posteriori error analysis for an augmented mixed finite element method applied to the problem of linear elasticity in the plane. More precisely, we derive a reliable and efficient a posteriori error estimator
Heuer, N +18 more
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JAX-FEM: A differentiable GPU-accelerated 3D finite element solver for automatic inverse design and mechanistic data science [PDF]
Computer Physics Communications, 2022 This paper introduces JAX-FEM, an open-source differentiable finite element method (FEM) library. Constructed on top of Google JAX, a rising machine learning library focusing on high-performance numerical computing, JAX-FEM is implemented with pure ...
T. Xue +6 more
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Adaptive mesh refinements for analyses of 2D linear elasticity problems using the Kriging-based finite element method [PDF]
E3S Web of Conferences, 2023 Finite element analyses of irregular structures require adaptive mesh refinement to achieve more accurate results in an efficient manner. This is also true for a non-conventional finite element method with Kriging interpolation, called the Kriging-based ...
Handoko Johanna, Wong Foek Tjong
doaj +1 more source
Eighty Years of the Finite Element Method: Birth, Evolution, and Future [PDF]
Archives of Computational Methods in Engineering, 2021 This document presents comprehensive historical accounts on the developments of finite element methods (FEM) since 1941, with a specific emphasis on developments related to solid mechanics.
Wing-Kam Liu +2 more
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Finite element method-enhanced neural network for forward and inverse problems [PDF]
Advanced Modeling and Simulation in Engineering Sciences, 2022 We introduce a novel hybrid methodology that combines classical finite element methods (FEM) with neural networks to create a well-performing and generalizable surrogate model for forward and inverse problems. The residual from finite element methods and
R. Meethal +6 more
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$\phi$-FEM: A Finite Element Method on Domains Defined by Level-Sets [PDF]
SIAM Journal on Numerical Analysis, 2020 We propose a new fictitious domain finite element method, well suited for elliptic problems posed in a domain given by a level-set function without requiring a mesh fitting the boundary. To impose the Dirichlet boundary conditions, we search the approximation to the solution as a product of a finite element function with the given level-set function ...
Duprez, Michel, Lozinski, Alexei
openaire +6 more sources
Tensegrity system dynamics based on finite element method [PDF]
Composite structures, 2021 This study presents a finite element analysis approach to non-linear and linearized tensegrity dynamics based on the Lagrangian method with nodal coordinate vectors as the generalized coordinates.
Shuo Ma, Muhao Chen, R. Skelton
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