Elasto-Plastic Stress Analysis of the Standard Compact Specimen

1983 ◽  
Vol 105 (2) ◽  
pp. 132-137 ◽  
Author(s):  
H. Terada
Keyword(s):  
Stress Analysis ◽  
Crack Opening ◽  
Plastic Zone Size ◽  
Width Ratio ◽  
Compact Specimen ◽  
Intensity Factors ◽  
Model Concept ◽  
Dugdale Model ◽  
Load Line ◽  
Plastic Analysis

Two-dimensional stress analysis for the standard compact specimen under plane stress and plane strain conditions were carried out by using the boundary collocation method. The Dugdale model concept was employed for elasto-plastic analysis. Plastic zone size and crack opening displacements at the typical locations, such as edge of plate, load line, and crack tip, were calculated for the practical range of applied load, and crack length-to-width ratio in the fracture toughness tests. In the process of elasto-plastic analysis, crack opening displacements and stress intensity factors corresponding to the elastic solution of the compact specimen were obtained. These results were shown to reasonably agree with those derived by Srawley and Gross, and by Newman.

Circumferential Edge Crack in a Cylindrical Cavity

1977 ◽  
Vol 44 (2) ◽  
pp. 250-254 ◽  
Author(s):  
L. M. Keer ◽  
V. K. Luk ◽  
J. M. Freedman
Keyword(s):  
Integral Equation ◽  
Stress Intensity ◽  
Cylindrical Cavity ◽  
Edge Crack ◽  
Numerical Scheme ◽  
Crack Opening ◽  
Integral Transforms ◽  
Intensity Factors ◽  
Physical Quantities ◽  
Elastostatic Problem

The elastostatic problem of a circumferential edge crack in a cylindrical cavity is investigated. The problem is formulated by means of integral transforms and reduced to a singular integral equation. The numerical scheme of Erdogan, Gupta, and Cook is used to obtain the relevant physical quantities and the stress-intensity factors, and crack opening displacements are computed for several values of crack length.

scholarly journals Modeling of crack opening mode sif for a crack in a thin-walled structural channel beam

2021 ◽  
Vol 102 (2) ◽  
pp. 78-86
Author(s):  
Mykola Pidgurskyi ◽  
Mykola Stashkiv ◽  
Ivan Pidgurskyi
Keyword(s):  
Finite Element Method ◽  
Cross Section ◽  
Simulation Modeling ◽  
Crack Opening ◽  
Intensity Factors ◽  
Inertia Moment ◽  
Structural Channel ◽  
Opening Mode ◽  
Thin Walled ◽  
Channel Beam

The analysis of engineering methods for determining stress intensity factors (SIF) for defective elements of open profile (channels) under bending is carried out. Mathematical models are created and dependences for calculation of SIF are deduced using two methods: using nominal stresses in net-section and using change of the inertia-moment of the profile cross-section. The obtained results are compared with the data of SIF for the crack in the channel obtained during simulation modeling using finite element method.

The Axisymmetric Crack Problem in a Nonhomogeneous Medium

1993 ◽  
Vol 60 (2) ◽  
pp. 406-413 ◽  
Author(s):  
M. Ozturk ◽  
F. Erdogan
Keyword(s):  
Stress Intensity ◽  
Shear Modulus ◽  
Mixed Mode ◽  
Crack Opening ◽  
Crack Problem ◽  
Singular Integral Equations ◽  
Nonhomogeneous Medium ◽  
Intensity Factors ◽  
Simple Simulation ◽  
Graded Properties

In this paper, the axisymmetric crack problem for a nonhomogeneous medium is considered. It is assumed that the shear modulus is a function of z approximated by μ = μ0eαz. This is a simple simulation of materials and interfacial zones with intentionally or naturally graded properties. The problem is a mixed-mode problem and is formualated in terms of a pair of singular integral equations. With fracture mechanics applications in mind, the main results given are the stress intensity factors as a function of the nonhomogeneity parameter a for various loading conditions. Also given are some sample results showing the crack opening displacements.

scholarly journals Applicability of the Modified Ritchie-Knott-Rice Failure Criterion to Examine the Feasibility of Miniaturized Charpy Type SE(B) Specimens

2016 ◽  
Vol 2016 ◽  
pp. 1-12 ◽  
Author(s):  
Toshiyuki Meshii ◽  
Teruhiro Yamaguchi ◽  
Yuma Higashino
Keyword(s):  
Cleavage Fracture ◽  
Failure Criterion ◽  
Critical Stress ◽  
Small Difference ◽  
Crack Opening ◽  
Width Ratio ◽  
Crack Tip Opening Displacement ◽  
Opening Displacement ◽  
Crack Opening Stress ◽  
Crack Tip Opening

This paper examined whether the modified Ritchie-Knott-Rice (RKR) failure criterion can be applied to examine the feasibility of miniaturized Charpy type SE(B) specimens of thickness-to-width ratio B/W=1. The modified RKR failure criterion considered in this paper is the (4δt,σ22c) criterion which predicts the onset of cleavage fracture when the midplane crack-opening stress measured at a distance equal to four times the crack-tip opening displacement, denoted as σ22d, exceeds a critical stress σ22c. Specimens with B values of 25, 10, 3, and 2 mm (denoted as 25t, 10t, 3t, and 2t specimens, resp.) manufactured with 0.55% carbon steel were tested at 20°C. The results showed that the modified RKR criterion could appropriately predict the occurrence of cleavage fracture accompanied by negligibly small stable crack extension (denoted as KJc fracture) naturally for the 25t and 10t specimens. The modified RKR criterion could also predict that KJc fracture does not occur for the 2t specimen. The σ22c obtained from specimens for the 25t and 10t specimens exhibited only a small difference, indicating that the Jc obtained from the 10t specimens can be used to predict the Jc that will be obtained with the 25t specimens.

Interface Stress Analysis of the Bending Cylinder Containing Inclusion

2011 ◽  
Vol 201-203 ◽  
pp. 951-955
Author(s):  
Xin Yan Tang
Keyword(s):  
Integral Equation ◽  
Stress Intensity ◽  
Singular Integral Equation ◽  
Stress Analysis ◽  
Singular Integral ◽  
Stress Intensity Factors ◽  
Integral Equation Method ◽  
Equation Method ◽  
Intensity Factors ◽  
Engineering Structures

Using the elasticity and the singular integral equation method, an analysis of a bending cylinder containing inclusions is carried out. The disturbing interface stresses on the inclusion sides and the stress intensity factors at the inclusion tips are obtained. The results given in this paper are useful for the strength design of the engineering structures or mechanical components containing inclusions.

Interface Crack in a Three-Phase Composite Constitutive Model

1991 ◽  
Vol 58 (2) ◽  
pp. 428-434 ◽  
Author(s):  
H. A. Luo ◽  
Y. Chen
Keyword(s):  
Stress Intensity ◽  
Interface Crack ◽  
Stress Intensity Factors ◽  
Crack Opening ◽  
Material Model ◽  
Complex Stress ◽  
Intensity Factors ◽  
Reinforced Composite ◽  
Three Phase ◽  
Shaped Crack

An arc-shaped crack in fiber-reinforced composite material is the subject of this paper. A three-phase composite cylinder is taken as the material model to take into account the effect of surrounding fibers. Using Muskhelishvili’s complex variable method, an exact elastic solution is derived based on the conventional crack opening assumption. The complex stress intensity factors for the interface crack, in the sense defined by Hutchinson, Mear, and Rice, are determined. Some numerical examples are given. It is shown that, as the volume concentration of the fiber is increased, the magnitude of the complex stress intensity factors varies considerably.

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