Modification of Griffith–McClintock–Walsh model for crack growth under compression to incorporate stick-slip along the crack faces

Author(s):  
Gaurav Singh ◽  
Robert W. Zimmerman
Author(s):  
S. C. Mellings ◽  
J. M. W. Baynham

One of the critical requirements of fatigue crack growth simulation is calculation of the remaining life of a structure under cyclic loading. This paper presents a method which predicts the remaining fatigue life of a part, and gives information on the eventual mode of failure. The path of a growing crack needs to be understood so that informed assessment can be made of the structural consequences of eventual fast growth, and the likelihood of leakage and determination of leakage rates. For these reasons the use of standard handbook solutions for crack growth is generally not adequate, and it is essential to use the real geometry and loading. The reasons for performing such simulation work include preventive investigations performed at the design stage, forensic investigations performed after failure, and sometimes forensic investigations performed during failure-when the results provide input to the planning of remedial work. This paper focuses on the 3D simulation of cracks growing in metal structures exposed to cyclic loading, and explains the techniques which are used. The loading might arise from transients of pressure or other mechanical forces, or might be caused by thermal-stress variations. The simulation starts from an initial crack which can be of any size and orientation. The relevant geometry of the cracked component is modelled, and the loading is identified using one or more load cases together with a load spectrum which shows how the loading cycles. The effects of the crack are determined by calculating stress intensity factors at all positions along the crack front (it would be called the crack tip if the modelling was performed in 2D). The rate and direction of crack growth at each part of the crack front are calculated using one of the available crack growth laws, together with appropriate material properties. The effects of such growth are accumulated over a number of load cycles, and a new crack shape is determined. The process is repeated as required. The use of multi-axial and mixed mode techniques allows the crack to turn as a result of the applied loading, and the resulting crack path is therefore a consequence of both the detail of the geometry and the loading to which the structure is subjected. Gas or other fluid pressures acting on the crack faces can have significant impact, as can the contact between opposing crack faces when a load case causes part of the crack to close.


1985 ◽  
Vol 55 ◽  
Author(s):  
G. M. Montes-G. ◽  
R. A. Draughn ◽  
T. H. Simpson

ABSTRACTThe fracture properties of selected commercial composite dental restorative materials and a model composite system were studied to determine the influences of the reinforcing phase, exposure to water, and particle/polymer adhesion on crack propagation. The content of inorganic fillers ranged from 36 to 62 volume percent. In the model system the polymer phase approximated that of the commercial products, a constant size distribution of quartz fillers was used, and polymer/particle adhesion was varied. The double torsion test method was employed to measure relationships between applied stress intensity factor and velocity of crack propagation during stable crack growth. In all systems, cracks propagated through regions of high stress concentration at the low end of the velocity range studied (10−7 m/sec to 10−3 m/sec). Wet materials fractured at lower stress intensities than dry materials at all velocities. At high velocities unstable (stick-slip) growth occurred in dry materials with strong filler/matrix interfaces and in wet specimens with initially strong interfaces and less than 41 volume percent filler. In wet conditions, materials with poorly bonded fillers fractured by slow crack growth at stress intensities 10% to 30% below the levels of composites with strong interfaces.


1986 ◽  
Vol 53 (2) ◽  
pp. 303-310 ◽  
Author(s):  
C. C. Ma ◽  
L. B. Freund

The phenomenon considered is fracture initiation and crack growth in a plate due to dynamic pressure loading on the faces of a pre-existing crack. The problem is formulated within the framework of two-dimensional elastodynamics, and the system is viewed as a semi-infinite crack in an otherwise unbounded body. At a certain instant of time, a spatially uniform pressure begins to act on the crack faces. The pressure magnitude increases linearly in time for a certain period (the rise time T), and it is constant thereafter. The crack begins to extend at constant speed at some time after the pressure begins to act (the delay time τ). The pressure acts only over the original crack faces, and both τ > T and τ < T are considered. The ratio of the normal stress on the fracture plane to the value due to the singular term in the stress field alone is computed for some point at a small fixed distance ahead of the crack tip, with a view toward establishing the conditions under which the stress intensity factor controlled singular term accurately describes the near tip stress distribution in this highly transient process. Measured and calculated histories compare very well for relatively low crack face pressures, but there is significant disagreement beyond crack growth initiation for higher pressures. Possible reasons for the discrepancies are discussed.


1994 ◽  
Vol 67 (3) ◽  
pp. 50-67 ◽  
Author(s):  
A. G. Thomas

Abstract The energy balance, or fracture mechanics, approach has proved successful in treating a number of fracture phenomena and unifying them in terms of what is believed to be a basic characteristic, the crack growth behavior when expressed in terms of the energy release rate T. It has also enabled some of the underlying physical factors to be identified and incorporated into appropriate theories. There are, however, some important limitations and outstanding problems which remain. For example, we do not at present have any quantitative understanding of what determines the precise form of the crack growth characteristic under repeated stressing. During the development of the approach, numerous checks were made of its validity by comparative experiments on different test piece geometries. This is important, as it is not certain that such comparisons will invariably give equivalent results and that the T vs. rate of tear relation is a true material characteristic. For example, if a test piece, such as the “split” test piece in Figure 2(d), is subjected to large pre-extensions in the direction of tearing, the tear resistance in some cases may apparently be much reduced from its unprestrained value. (Anisotropy is produced which is believed to be important in knotty tear development). Gent and Kim found a similar effect with laterally pre-strained pure shear test pieces. Also, if tear measurements are made with an edge crack test piece of natural rubber and the strains become great enough to produce crystallization in the main bulk of the test piece, the stick-slip behavior is suppressed and the tear strength appears to be increased. Thus it appears that in some cases the assumption that the strains just around the tip at the instant of tearing are independent of the bulk deformation is not true. Fortunately these cases seem to be the exception rather than the rule, but their occurrence demands continuing caution. Some peel tests of rubber-to-metal bonds for example show apparently anomalous force dependencies on peel angle. The current interest in the understanding and prediction of strength and durability of elastomer articles stems from the increasing importance attached to avoiding premature failure in service. The growing availability of finite element programs capable of dealing with large strains has already meant that force-deflection behavior can be at least approximately designed for; but a corresponding failure design procedure based on fracture mechanics is still in the stage of development.


2016 ◽  
Vol 82 (2) ◽  
pp. 49-56 ◽  
Author(s):  
Y.L. Ivanytskyj ◽  
T.M. Lenkovskiy ◽  
Y.V. Molkov ◽  
V.V. Kulyk ◽  
Z.A. Duriagina

Purpose: The aim of the paper is to evaluate the dependence of microstructure parameters,strength and plasticity of steel on crack faces friction factor.Design/methodology/approach: The specimens for the investigation were cut out fromthe 10 mm thick hot-rolled plate of 65G steel used as a model material for fatigue anddurability testing of whole-rolled railway wheels. The mechanical characteristics of the steelwere determined according to the state standard using cylindrical specimens of diameter5 mm and effective length 50 mm. The specimens were heat-treated at the mentionedconditions. Fatigue testing under mode II loading was carried out on a special rigid loadingmachine in the standard laboratory conditions at symmetric sinusoidal cycle with a frequencyof 12 Hz in the range of fatigue crack growth rates da/dN = 5∙10-8…5∙10-7 m/cycle untilits reaches relative length l/b ≥ 0.8. The obtained microsections were investigated using theoptical metallographic microscope Neophot 9 equipped with a digital camera Nikon D50 andelectronic scanning microscope Zeiss EVO 40XVP. Hardness of the specimens with differentmicrostructure was determined using durometer TK-2. The crack faces friction factor wasdetermined using original device for fractured surfaces sliding under certain compressionforce realizationFindings: The dependences of microstructure parameters, strength and plasticity of steelon crack faces friction factor are obtained.Research limitations/implications: The investigation of the influence of microstructureparameters, strength and plasticity of real wheel steels on crack faces friction factor at themode II fatigue crack growth will be carried out.Practical implications: The value of crack faces friction factor have strong impact onstress intensity at the crack tip and must be taken into account at crack growth rates curvesplotting.Originality/value: Mode II fatigue crack faces friction factor of steel is firstly experimentallydetermined.


Sign in / Sign up

Export Citation Format

Share Document