A new efficient explicit formulation for linear tetrahedral elements non-sensitive to volumetric locking for infinitesimal elasticity and inelasticity

2009 ◽  
Vol 79 (1) ◽  
pp. 45-68 ◽  
Author(s):  
P. O. De Micheli ◽  
K. Mocellin
Keyword(s):  
Explicit Formulation ◽  
Volumetric Locking ◽  
Tetrahedral Elements

scholarly journals 3D Simulation of acoustic waves propagating through porous domain using PUFEM tetrahedral elements

2020 ◽  
Vol 1605 ◽  
pp. 012016
Author(s):  
Mingming Yang ◽  
Cyrille Breard ◽  
Yipeng Cen ◽  
Jean-Daniel Chazot
Keyword(s):  
Acoustic Waves ◽  
3D Simulation ◽  
Tetrahedral Elements ◽  
Porous Domain

Tetrahedral elements for fluid flow

1992 ◽  
Vol 33 (6) ◽  
pp. 1251-1267 ◽  
Author(s):  
F. H. Bertrand ◽  
M. R. Gadbois ◽  
P. A. Tanguy
Keyword(s):  
Fluid Flow ◽  
Tetrahedral Elements

On the Reduction of the Pre-Processing Effort and the Application of a Contact Meshing Approach for Complex Jet Engine Component Assemblies

2014 ◽  
Author(s):  
W. Hufenbach ◽  
A. Hornig ◽  
H. Böhm ◽  
A. Langkamp ◽  
A. Keskin
Keyword(s):  
Significant Proportion ◽  
Work Effort ◽  
Positive Effects ◽  
Tetrahedral Elements ◽  
Automated Method ◽  
Geometry Decomposition ◽  
Hexahedral Meshes ◽  
Complex Structural ◽  
Processing Effort ◽  
Pressure Compressor

A significant proportion of the work effort for finite element (FE) analysis is spent for pre-processing activities, especially for complex structural components and component assemblies. An exclusive use of hexahedron (hex) elements increases the meshing effort substantially compared to tetrahedral elements. An automated method to generate high quality hexahedral meshes for an arbitrary geometry does not exist. In this work, commercially available FE software tools for meshing were investigated with the focus on an advantageous pre-processing effort. The evaluation showed that the software package NX (Siemens PLM Software) offers robust advanced semiautomatic hex meshing capabilities. Furthermore, a Contact Meshing Approach (CMA) was elaborated to reduce the effort of the challenging and time-consuming geometry decomposition significantly. Using the example of an intermediate pressure compressor it can be shown that the pre-processing effort time can be reduced up to 75%. Due to the independent meshes, element transitions in the geometry become redundant. This results in lower total element numbers and higher mesh qualities and subsequently leads to more efficient calculations. Moreover, the increased element quality has positive effects on the result quality.

Elastic solution of a polyhedral particle with a polynomial eigenstrain and particle discretization

2021 ◽  
pp. 1-35
Author(s):  
Chunlin Wu ◽  
Liangliang Zhang ◽  
Huiming Yin
Keyword(s):  
Taylor Series ◽  
Three Dimensional ◽  
Stress Singularity ◽  
Elastic Field ◽  
Analytical Form ◽  
Tetrahedral Elements ◽  
Equivalent Inclusion Method ◽  
Equivalent Inclusion ◽  
Eshelby’S Tensor ◽  
Domain Discretization

Abstract The paper extends the recent work (JAM, 88, 061002, 2021) of the Eshelby's tensors for polynomial eigenstrains from a two dimensional (2D) to three dimensional (3D) domain, which provides the solution to the elastic field with continuously distributed eigenstrain on a polyhedral inclusion approximated by the Taylor series of polynomials. Similarly, the polynomial eigenstrain is expanded at the centroid of the polyhedral inclusion with uniform, linear and quadratic order terms, which provides tailorable accuracy of the elastic solutions of polyhedral inhomogeneity by using Eshelby's equivalent inclusion method. However, for both 2D and 3D cases, the stress distribution in the inhomogeneity exhibits a certain discrepancy from the finite element results at the neighborhood of the vertices due to the singularity of Eshelby's tensors, which makes it inaccurate to use the Taylor series of polynomials at the centroid to catch the eigenstrain at the vertices. This paper formulates the domain discretization with tetrahedral elements to accurately solve for eigenstrain distribution and predict the stress field. With the eigenstrain determined at each node, the elastic field can be predicted with the closed-form domain integral of Green's function. The parametric analysis shows the performance difference between the polynomial eigenstrain by the Taylor expansion at the centroid and the 𝐶0 continuous eigenstrain by particle discretization. Because the stress singularity is evaluated by the analytical form of the Eshelby's tensor, the elastic analysis is robust, stable and efficient.

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