Derivation of the Scaled Boundary Finite Element Equation in Three Dimensions

2018 ◽  
pp. 239-280
Keyword(s):  
Finite Element ◽  
Three Dimensions ◽  
Finite Element Equation ◽  
Scaled Boundary Finite Element

Calculating Energy Release Rate as a Function of Crack Length Using a Multiple-Step Crack Closure Technique in Tire Finite Element Models

2018 ◽  
Vol 46 (3) ◽  
pp. 130-152
Author(s):  
Dennis S. Kelliher
Keyword(s):  
Finite Element ◽  
Energy Release Rate ◽  
Crack Length ◽  
Energy Release ◽  
Crack Closure ◽  
Release Rate ◽  
Fatigue Behavior ◽  
Three Dimensions ◽  
Quantitative Prediction ◽  
Closure Technique

ABSTRACT When performing predictive durability analyses on tires using finite element methods, it is generally recognized that energy release rate (ERR) is the best measure by which to characterize the fatigue behavior of rubber. By addressing actual cracks in a simulation geometry, ERR provides a more appropriate durability criterion than the strain energy density (SED) of geometries without cracks. If determined as a function of crack length and loading history, and augmented with material crack growth properties, ERR allows for a quantitative prediction of fatigue life. Complications arise, however, from extra steps required to implement the calculation of ERR within the analysis process. This article presents an overview and some details of a method to perform such analyses. The method involves a preprocessing step that automates the creation of a ribbon crack within an axisymmetric-geometry finite element model at a predetermined location. After inflating and expanding to three dimensions to fully load the tire against a surface, full ribbon sections of the crack are then incrementally closed through multiple solution steps, finally achieving complete closure. A postprocessing step is developed to determine ERR as a function of crack length from this enforced crack closure technique. This includes an innovative approach to calculating ERR as the crack length approaches zero.

scholarly journals Scaled Boundary Finite Element Method for hydrodynamic bearings in rotordynamic simulations

2021 ◽  
pp. 106427
Author(s):  
Simon Pfeil ◽  
Hauke Gravenkamp ◽  
Fabian Duvigneau ◽  
Elmar Woschke
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Hydrodynamic Bearings ◽  
Scaled Boundary Finite Element ◽  
Element Method

scholarly journals A finite fracture mechanics approach for interlaminar crack initiation using the scaled boundary finite element method

PAMM ◽  
2019 ◽  
Vol 19 (1) ◽  
Author(s):  
Sebastian Dölling ◽  
Sophia Bremm ◽  
Sascha Hell ◽  
Wilfried Becker
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Fracture Mechanics ◽  
Crack Initiation ◽  
Finite Fracture Mechanics ◽  
Interlaminar Crack ◽  
Scaled Boundary Finite Element ◽  
Element Method

A parallel framework for a multipoint flux mixed finite element equation of state compositional flow simulator

2017 ◽  
Vol 21 (5-6) ◽  
pp. 1189-1202 ◽  
Author(s):  
Benjamin Ganis ◽  
Gurpreet Singh ◽  
Mary F. Wheeler
Keyword(s):  
Finite Element ◽  
Equation Of State ◽  
Mixed Finite Element ◽  
Finite Element Equation ◽  
Compositional Flow ◽  
Flow Simulator

A Coupled SBFEM-FEM Approach for Evaluating Stress Intensity Factors

2013 ◽  
Vol 353-356 ◽  
pp. 3369-3377 ◽  
Author(s):  
Ming Guang Shi ◽  
Chong Ming Song ◽  
Hong Zhong ◽  
Yan Jie Xu ◽  
Chu Han Zhang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Complex Geometry ◽  
Stress Singularity ◽  
Intensity Factors ◽  
Finite Element Software ◽  
Scaled Boundary Finite Element ◽  
Element Method

A coupled method between the Scaled Boundary Finite Element Method (SBFEM) and Finite Element Method (FEM) for evaluating the Stress Intensity Factors (SIFs) is presented and achieved on the platform of the commercial finite element software ABAQUS by using Python as the programming language. Automatic transformation of the finite elements around a singular point to a scaled boundary finite element subdomain is realized. This method combines the high accuracy of the SBFEM in computing the SIFs with the ability to handle material nonlinearity as well as powerful mesh generation and post processing ability of commercial FEM software. The validity and accuracy of the method is verified by analysis of several benchmark problems. The coupled algorithm shows a good converging performance, and with minimum additional treatment can be able to handle more problems that cannot be solved by either SBFEM or FEM itself. For fracture problems, it proposes an efficient way to represent stress singularity for problems with complex geometry, loading condition or certain nonlinearity.

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