A four-node tetrahedral element with continuous nodal stress

2017 ◽  
Vol 191 ◽  
pp. 180-192 ◽  
Author(s):  
Yongtao Yang ◽  
Guanhua Sun ◽  
Hong Zheng
Keyword(s):  
Tetrahedral Element

Structure Analysis with 2D Quadrilateral Meshes Generated by a Label-Driven Subdivision

2016 ◽  
Vol 10 (2) ◽  
pp. 187-194 ◽  
Author(s):  
Bo Liu ◽  
◽  
Kenjiro T. Miura ◽  
Shin Usuki ◽  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Structural Analysis ◽  
Structure Analysis ◽  
Two Dimensional ◽  
The Finite Element Method ◽  
Tetrahedral Element ◽  
Hexahedral Elements ◽  
Hexahedral Element ◽  
Preliminary Research

For a structural analysis using the finite element method, a hexahedral element is preferable to a tetrahedral element from the viewpoint of accuracy. However, it is very difficult to subdivide a mesh consisting of hexahedral elements if the shape of the mesh is complicated. Hence, in this paper, as a preliminary research, we use a label-driven subdivision method for a two-dimensional mesh, and show that meshes subdivided nonuniformly can guarantee as much accuracy as meshes with uniform subdivision.

Shock Response Analysis of Marine Gearbox

2014 ◽  
Vol 983 ◽  
pp. 400-403
Author(s):  
Wen Liu ◽  
Teng Jiao Lin ◽  
Ze Yin He
Keyword(s):  
Dynamic Stress ◽  
Strength Criterion ◽  
Element Model ◽  
Vibration Velocity ◽  
Response Analysis ◽  
Tetrahedral Element ◽  
Dynamic Finite Element ◽  
Spring Element ◽  
Equivalent Time ◽  
Shock Response

The shock spectrum of gearbox was gotten according to German specification. And the equivalent time-domain acceleration curve was converted from shock spectrum. After the dynamic finite element model of entire gearbox was established by using the truss element, spring element and tetrahedral element, the shock response including the vibration velocity, acceleration and dynamic stress of gearbox subjected to the acceleration shock excitation were simulated. At last, the anti-shock performance of gearbox was analyzed combining with the strength criterion.

scholarly journals Natural Spring Cell Substitutes of Simplex Finite Elements

2020 ◽  
Vol 15 ◽  
Keyword(s):  
Finite Elements ◽  
Elastic Anisotropy ◽  
Triangular Element ◽  
Cell Models ◽  
Plane Case ◽  
Tetrahedral Element ◽  
Flexibility Matrix ◽  
The Subject ◽  
Natural Spring ◽  
Natural Description

Spring cell models are presented which derive from the natural description of simplex finite elements, that is in conformity with the geometry of the triangle in the plane and of the tetrahedron in space. Thereby, the spring cells are interpreted as part of the finite elements. The deduction of two spring cells as defective substitutes is demonstrated for the triangular element. One approximates the flexibility matrix of the element, the other approximates the stiffness matrix. The performance with respect to the finite element is analyzed, the issue of elastic anisotropy is discussed. In space, the spring cell substitute of the tetrahedral element is derived from the flexibility matrix, an inherent difference to the plane case is pointed out. Remarks on the implication of plasticity are added. The account gives a brief summary of recent work on the subject.

A Four-Node Tetrahedral Finite Element Based on Space Fiber Rotation Concept

2019 ◽  
Vol 11 (1) ◽  
pp. 67-78
Author(s):  
Kamel Meftah ◽  
Lakhdar Sedira
Keyword(s):  
Finite Element ◽  
Strain Field ◽  
Stiffness Matrix ◽  
Degrees Of Freedom ◽  
Three Dimensional ◽  
Field Tensor ◽  
Tetrahedral Element ◽  
Numerical Studies ◽  
Rotational Degrees Of Freedom ◽  
Tensor Approximation

Abstract The paper presents a four-node tetrahedral solid finite element SFR4 with rotational degrees of freedom (DOFs) based on the Space Fiber Rotation (SFR) concept for modeling three-dimensional solid structures. This SFR concept is based on the idea that a 3D virtual fiber, after a spatial rotation, introduces an enhancement of the strain field tensor approximation. Full numerical integration is used to evaluate the element stiffness matrix. To demonstrate the efficiency and accuracy of the developed four-node tetrahedron solid element and to compare its performance with the classical four-node tetrahedral element, extensive numerical studies are presented.

Sign in / Sign up

Export Citation Format

Share Document