Quarter Elliptical Cracks Emanating From Holes in Plates

1978 ◽  
Vol 100 (2) ◽  
pp. 144-149 ◽  
Author(s):  
T. E. Kullgren ◽  
F. W. Smith ◽  
G. P. Ganong
Keyword(s):  
Finite Element ◽  
Analytic Solution ◽  
Plate Thickness ◽  
Hole Diameter ◽  
Solution Technique ◽  
Element Solution ◽  
Intensity Factors ◽  
Flat Plates ◽  
Linear Elastic ◽  
Elliptical Cracks

The finite element-alternating method, a linear elastic solution technique, is refined and applied to problems of quarter-elliptical cracks in irregular bodies. The method involves the iterative superposition of a finite element solution for stresses in an unflawed body and an analytic solution for stresses in an infinite solid containing a flat elliptical crack. Mode-one stress intensity factors are presented along the periphery of quarter-elliptical cracks emanating from open fastener holes in flat plates. Results are shown for a variety of crack geometries and two hole-diameter to plate-thickness ratios. Comparisons are made with experimental results of other authors.

Part-Elliptical Cracks Emanating From Open and Loaded Holes in Plates

1979 ◽  
Vol 101 (1) ◽  
pp. 12-17 ◽  
Author(s):  
T. E. Kullgren ◽  
F. W. Smith
Keyword(s):  
Finite Element ◽  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Crack Opening ◽  
Plate Thickness ◽  
Hole Diameter ◽  
Elastic Analysis ◽  
Intensity Factors ◽  
Linear Elastic ◽  
Elliptical Cracks

A linear elastic analysis using the finite element-alternating method is conducted for problems of single semi-elliptical and double quarter-elliptical cracks near fastener holes. Mode-one stress intensity factors are presented along the crack periphery for cases of open and loaded holes and crack opening displacements are calculated. Results are shown for a variety of crack geometries and loading conditions and for two ratios of hole diameter to plate thickness.

scholarly journals Numerical analysis of stresses at oblique holes in plates subjected to tension and bending

1995 ◽  
Vol 30 (4) ◽  
pp. 317-323 ◽  
Author(s):  
A Tafreshi ◽  
T E Thorpe
Keyword(s):  
Finite Element ◽  
Uniaxial Tension ◽  
Plate Thickness ◽  
Major Axis ◽  
Hole Diameter ◽  
The Finite Element Method ◽  
Flat Plates ◽  
Out Of Plane ◽  
Stress Concentration Factors ◽  
Element Method

Stress analysis of a series of thick, wide, flat plates with oblique holes subjected to uniaxial tension and out-of-plane bending has been carried out using the finite element method (FEM), and in some cases the boundary element method (BEM). Different plate thickness-hole diameter ratios, angles of hole obliquity and orientation have been considered to provide stress concentration factors at such holes. The work covers plate thickness-hole diameter ratios from 1.3 to 3.0, hole obliquity angles from 0 to 60° and orientation of the major axis of the surface ellipse relative to the applied load direction of 0 to 90°. The results for uniaxial tension have been compared with those determined using the photoelastic frozen-stress technique in order to verify the finite element models before proceeding to the bending cases, which provide new data.

scholarly journals Numerical Study of Stresses around Holes Drilled and Filled by Expansive Cement: Case of Isotropic Linear Elastic Block of Rock

2018 ◽  
Vol 2018 ◽  
pp. 1-14
Author(s):  
Mambou Ngueyep Luc Leroy ◽  
Gael Nkenwoum Chebou
Keyword(s):  
Finite Element ◽  
Elastic Properties ◽  
Numerical Study ◽  
Hole Diameter ◽  
Finite Element Code ◽  
Normal Stresses ◽  
Linear Elastic ◽  
Diameter Hole ◽  
Essential Problem ◽  
Expansive Cement

This work dealt with an essential problem of fragmentation of rocks with expansive cement. The redistribution and magnitude of stresses and displacement generated around holes were done by using Ansys Inc. Code which is based on finite element code. Blocks of rock with one hole, two holes, and nine holes drilled in square mesh and staggered mesh have been considered. Numerical results reveal that many factors can influence the mechanism of fragmentation of a rock by using expansive cement: hole diameter, hole spacing, panel mesh, expansive pressure applied, and the elastic properties of the massif. Stresses and displacements generated globally decrease when spacing holes increase. Normal stresses allow a better stress interaction between holes in the case of square mesh disposition. Staggered mesh disposition generates higher stresses than the square mesh disposition. But the square mesh disposition can be useful for controlled fragmentation in order to obtain block of rock with square geometry. For each expansive cement and rock, there exist suitable range of diameter and spacing hole which can generate high stresses for breaking the rock.

Fracture Analysis in Orthotropic Thermoelasticity Using Extended Finite Element Method

2015 ◽  
Vol 7 (6) ◽  
pp. 780-795 ◽  
Author(s):  
Honggang Jia ◽  
Yufeng Nie ◽  
Junlin Li
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Extended Finite Element Method ◽  
Intensity Factors ◽  
Extended Finite Element ◽  
Linear Elastic ◽  
Crack Problems ◽  
Good Accordance ◽  
Elastic Crack ◽  
Element Method

AbstractIn this paper, a method for extracting stress intensity factors (SIFs) in orthotropic thermoelasticity fracture by the extended finite element method (XFEM) and interaction integral method is present. The proposed method is utilized in linear elastic crack problems. The numerical results of the SIFs are presented and compared with those obtained using boundary element method (BEM). The good accordance among these two methods proves the applicability of the proposed approach and conforms its capability of efficiently extracting thermoelasticity fracture parameters in orthotropic material.

Plate Buckling Analysis Using the Linear Finite Element Method

1997 ◽  
Author(s):  
Thomas Persson ◽  
Daniel H. Suchora
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Small Subset ◽  
Flat Plates ◽  
Element Analysis ◽  
Uniform Compression ◽  
Linear Elastic ◽  
Aspect Ratios ◽  
Support Conditions ◽  
Element Method

Abstract The objective of this study was to develop new solutions for linear elastic buckling coefficients of rectangular flat plates with support conditions not previously found in the literature. Critical buckling coefficients were found for rectangular flat plates subjected to uniform compression on two opposite edges with one partially supported unloaded edge using the finite element method. Plates with different aspect ratios and with varying support length on the unloaded edges were analyzed. Currently, no solutions are available in the literature for plates subjected to uniform compression and with partially supported unloaded edges. The method developed in this work was verified on problems where closed form mathematical solutions exist. An engineer will be able to use the solutions developed in this work in the design of components that are susceptible to instability failures. Another benefit of this work is to demonstrate to practicing engineers that reliable instability results can be obtained by using standard finite element analysis (FEA) methods. This work considers a small subset of instability problems but the FEA method utilized herein can be effectively used to model a large class of practical instability problems.

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