Fatigue Life Predictions of Smooth and Notched Specimens Based on Fracture Mechanics

1981 ◽  
Vol 103 (2) ◽  
pp. 91-96 ◽  
Author(s):  
M. H. El Haddad ◽  
T. H. Topper ◽  
T. N. Topper

An elastic plastic fracture mechanics solution for short fatigue cracks in smooth and notched specimens is presented which admits plasticity by replacing the conventional stress term with a strain term and accounts for the propagation of very short cracks by the introduction of an effective crack length which is equal to the actual length increased by length l0, the length constant l0 is characteristic of the material and material condition and is calculated from the smooth specimen endurance limit and the long crack threshold stress intensity. Crack growth results for cracks in both elastic and plastic strain fields of notched specimens when interpreted in terms of this strain based intensity factor showed excellent agreement with elastic long crack data. This intensity factor when combined with a propagation model that includes all stages of crack growth also successfully predicted the total fatigue life of the smooth and notched specimens studied here. The predicted propagation life of elliptical and circular notched specimens is in all cases within 50 percent of the actual fatigue lives.

The application of non-classical fracture mechanics to the growth of dynamic fatigue cracks in a visco-elastic solid is discussed. The ideas developed are used to characterize the results of fatigue crack growth measurements on a range of low -density polyethylenes. The results can be expressed in the form d c d N = BF n where d c d N is the growth of the crack each cycle, F is a fracture mechanics parameter and B, n are constants. Most of the materials studied reveal two distinct regions (with differing values of the constants) linked by a transition zone, and corresponding to brittle and ductile crack propagation respectively. The fatigue life of virgin specimens can be predicted from the crack growth characteristics assuming the existence of intrinsic flaws which (when the predictions are matched to actual fatigue data) are found to correspond in size to the polyethylene spherulites.


2006 ◽  
Vol 324-325 ◽  
pp. 251-254 ◽  
Author(s):  
Tai Quan Zhou ◽  
Tommy Hung Tin Chan ◽  
Yuan Hua

The behavior of crack growth with a view to fatigue damage accumulation on the tip of cracks is discussed. Fatigue life of welded components with initial crack in bridges under traffic loading is investigated. The study is presented in two parts. Firstly, a new model of fatigue crack growth for welded bridge member under traffic loading is presented. And the calculate method of the stress intensity factor necessary for evaluation of the fatigue life of welded bridge members with cracks is discussed. Based on the concept of continuum damage accumulated on the tip of fatigue cracks, the fatigue damage law suitable for steel bridge member under traffic loading is modified to consider the crack growth. The proposed fatigue crack growth can describe the relationship between the cracking count rate and the effective stress intensity factor. The proposed fatigue crack growth model is then applied to calculate the crack growth and the fatigue life of two types of welded components with fatigue experimental results. The stress intensity factors are modified by the factor of geometric shape for the welded components in order to reflect the influence of the welding type and geometry on the stress intensity factor. The calculated and measured fatigue lives are generally in good agreement, at some of the initial conditions of cracking, for a welded component widely used in steel bridges.


2020 ◽  
Vol 8 (6) ◽  
pp. 427 ◽  
Author(s):  
Fang Wang ◽  
Weicheng Cui

Safety analysis and prediction of a marine structure is of great concern by many stakeholders and the general public. In order to accurately predict the structural reliability of an in-use marine structure, one needs to calculate accurately the fatigue crack growth at any service time. This can only be possible by using fracture mechanics approach and the core of fracture-mechanics-based method is to establish an accurate crack growth rate model which must include all the influential factors of the same order of sensitivity index. In 2011, based on the analysis of various influencing factors, the authors put forward a unified fatigue life prediction (UFLP) method for marine structures. In the following ten years of research, some further improvements of this method have been made and the applications of this UFLP are carried out. In this paper, these progresses are reported and its underlying principles are further elaborated. Some basic test data used to determine model parameters are also provided.


1996 ◽  
Vol 118 (4) ◽  
pp. 193-200 ◽  
Author(s):  
S. H. Ju ◽  
B. I. Sandor ◽  
M. E. Plesha

Much research has been done on Surface Mount Technology (SMT) using the Finite Element Method (FEM). Little of this, however, has employed fracture mechanics and/or continuum damage mechanics. In this study, we propose two finite element approaches incorporating fracture mechanics and continuum damage mechanics to predict time-dependent and temperature-dependent fatigue life of solder joints. For fracture mechanics, the J-integral fatigue formula, da/dN = C(δJ)m, is used to quantify fatigue crack growth and the fatigue life of J-leaded solder joints. For continuum damage mechanics, the anisotropic creep-fatigue damage formula with partially reversible damage effects is used to find the initial crack, crack growth path, and fatigue life of solder joints. The concept of partially reversible damage is especially novel and, based on laboratory tests we have conducted, appears to be necessary for solder joints undergoing cyclic loading. Both of these methods are adequate to predict the fatigue life of solder joints. The advantage of the fracture mechanics approach is that little computer time is required. The disadvantage is that assumptions must be made on the initial crack position and the crack growth path. The advantage of continuum damage mechanics is that the initial crack and its growth path are automatically evaluated, with the temporary disadvantage of requiring a lot of computer time.


1972 ◽  
Vol 94 (1) ◽  
pp. 243-247 ◽  
Author(s):  
H. Saal

A fracture mechanics model is proposed to describe fatigue crack propagation in notched specimens. This model accounts for residual stresses which are present at the notch root after unloading from maximum compressive load. This is of particular interest for specimens subjected to compressive mean load. According to the model, cracks will stop growing at the boundary of the plastically deformed zone if the specimen is subjected to compressive load only. Validity of the model was verified with notched specimens of mild steel.


1993 ◽  
Vol 8 (9) ◽  
pp. 2216-2223 ◽  
Author(s):  
S.M. McGuire ◽  
M.E. Fine ◽  
O. Buck ◽  
J.D. Achenbach

A resonant frequency mechanical vibration method was used to nondestructively detect fatigue crack initiation in notched 304 stainless steel samples prepared by powder metallurgy. This method allowed the determination of an effective elastic modulus and the direct measurement of internal friction. Changes in the modulus and internal friction were found to correlate well with the presence of 50 μm long fatigue cracks. The length of the through cracks initiated at the notch was measured using surface replicas, which were examined in a scanning electron microscope. Small crack growth rate data were also obtained and plotted versus the stress intensity factor. The crack growth rates were compared with long crack data performed on compact tension samples of this material. The short cracks grew at intensity factors below the long crack threshold stress intensity factor.


1982 ◽  
Vol 22 (01) ◽  
pp. 151-156
Author(s):  
Theodore Gottlieb ◽  
Tarlochan Mann

Abstract It is common practice to clad steel components with a relatively thin layer of a stainless material to prevent corrosion economically. Little, however, has been published regarding the effect of such cladding on fatigue published regarding the effect of such cladding on fatigue life in areas of localized high stress. Large valves that are pressure-cycled often and offshore equipment, such as pressure-cycled often and offshore equipment, such as risers, tensioners, and wellhead flanges that are loaded cyclically by ocean currents and waves, must be analyzed for fatigue life during design. Unlike storage vessels, drilling and completion hardware generally has areas of relatively high stress concentrations because of abrupt section size changes, threads, grooves for seals, bolt holes, and other stress-concentrating geometries. While yielding or rupturing is a function of bulk stresses, fatigue life is a function of peak stresses, which typically are highest on the surface of an area of stress concentration. It has been determined that both the metallurgical characteristics of the cladding and the pressure/load history can be varied to enhance or diminish significantly the fatigue life of a clad steel component. The results and conclusions of this study are based on laboratory studies. Axial fatigue tests (R=0.05) were performed using a side-notched fatigue specimen that produces combined axial and bending stresses in the notched area. Specimens of AISI 4130 (dt HRc 20) were tested unclad and with the notched area clad with Inconel 625 or AISI 316L. Each set of specimens was tested both unpreloaded and preloaded to produce localized yielding at the notched surface only.The findings of this study are applicable to components subject to failure by fatigue and corrosion fatigue and sour service steel components that become locally work-hardened either in service or during overload proof testing as required by most API specifications. Introduction Fatigue failure of a homogeneous, unflawed metal occurs in two stages:nucleation of a stable crack andcrack growth until failure occurs. The nucleation portion is the result of alternating strain of a magnitude portion is the result of alternating strain of a magnitude sufficient to cause the formation and the coalescence of dislocations to form a crack. Crack growth can be predicted by fracture mechanics techniques. predicted by fracture mechanics techniques. Although fatigue curves often are plotted with alternating stress on the abscissa and cycles to failure on the ordinate, it is actually the cyclic strain that determines fatigue life. Fatigue prediction methods therefore must relate calculated stresses to cyclic strain. Stress vs. strain relationships are complex and include at least the following variables: part geometry, grain size, microconstituents, cold working coefficient, direction of forces, magnitude of forces, and strength and modulus of the material. It is seen that fatigue is associated strongly with the metallurgy of the materials being tested. Purpose of Study Purpose of Study The purpose of this study was to develop data and evaluate an analytical technique to predict fatigue life of thick-wall, clad and unclad, pressure vessels in the long- and short-cycle fatigue mode. More specifically, data were generated to simulate high-pressure wellhead equipment fabricated from quenched and tempered low alloy steels. Claddings studied were the austenitic-nickel-base Inconel 625 and iron-base AISI 316L. Both these cladding materials have substantially different metallurgical properties from those of low alloy steel. Since fatigue failures generally result from peak surface stresses, nucleation of fatigue cracks will occur in the cladding. The cladding therefore controls the fatigue life of the vessel since crack nucleation comprises the majority of the total cycles compared to crack growth. SPEJ P. 151


Author(s):  
F. Redaelli ◽  
B. Skallerud ◽  
B. J. Leira

The present paper addresses fatigue crack-growth for free-spanning pipelines. The main sources of cyclic stresses which cause the crack-growth are vortex-induced vibrations (VIV) of the pipeline in the cross-flow and in-line directions. In the presence of initial weld defects, such cyclic stresses may lead to leakage and sudden fracture. The crack-growth process is modelled using so-called line-spring elements. These are matched with shell elements which are applied for modelling the pipe itself. The crack-growth is simulated by performing several simulations with different crack sizes. The shape of the crack also allowed to vary during the growth (i.e a/c-ratio). The static equilibrium position of the pipeline for a specific free span is first established by the non-linear Finite Element program ABAQUS. The line-spring elements are matched to interface with the shell elements which represent the pipe outside the region where the crack is located. Based on such simulations, the stress intensity factors at the crack-tip are computed. These calculations are performed for several different crack-sizes. Finally, the remaining fatigue life is estimated by means of fracture mechanics in terms of analytical and semi-empirical approaches.


Author(s):  
Ole Tom Vårdal

In structural integrity management, it is essential to know the fatigue crack growth potential. The lessons learned from use of refined fatigue analyses, fracture mechanics and probabilistic methods for platforms in-service are presented. For ageing offshore units of semi-submersible design, the inspection history of more than 20 000 NDT inspections and detection of close to 1000 fatigue cracks, are used in this study. These experience data are used to assess the potential for Non-conservative estimate for the fatigue crack growth potential.


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