3 edition of Stress-intensity factors for small surface and corner cracks in plates found in the catalog.
Stress-intensity factors for small surface and corner cracks in plates
by National Aeronautics and Space Administration, Langley Research Center, For sale by the National Technical Information Service in Hampton, Va, [Springfield, Va
Written in English
|Other titles||Stress intensity factors for small surface and corner cracks in plates|
|Statement||I.S. Raju, S.N. Atluri, and J.C. Newman, Jr.|
|Series||NASA technical memorandum -- 100599|
|Contributions||Atluri, Satya N., Newman, J. C., Langley Research Center.|
|The Physical Object|
INFINITE PLATE CONTAINING AN ELLIPTICAL HOLE (Kolosoff, G.V., On an application of complex function theory to a plane problem of the mathematical theory of elasticity, Yuriev, ; Inglis, C.E., (), Stresses in a plate due to the presence of cracks and sharp corners,Transactions of the Royal Institute of Naval Architectes, 60, ). stress-intensity factor distributions for surface cracks and corner cracks in plates, see, Raju and Newman  and Newman and Raju . Another well established and particularly useful method for evaluating fracture parameters is the domain integral method in which the crack tip integral is.
method was successfully applied to obtain accurate stress intensity factors for a semi-elliptical surface crack in finite thickness plates , in pressure vessels [ , and for a quarter elliptical comer crack emanating form a pin hole in plates and in aircraft attachment lugs[l2]. Stress Intensity Factor K • Irwin applied Griffith’s theory to metals with small plastic deformation at the crack tip and used the stress intensity factor K to quantify the crack tip driving force. • Using Griffith’senergy approach, Irwin showed: For plane stress: For plane strain: E K G 2 (1 2) 2 Q E K G.
Fracture mechanics is the field of mechanics concerned with the study of the propagation of cracks in materials. It uses methods of analytical solid mechanics to calculate the driving force on a crack and those of experimental solid mechanics to characterize the material's resistance to fracture.. In modern materials science, fracture mechanics is an important tool used to improve the. havior at the crack tip to the geometry and applied stress. In the small scale yielding range, when the plastic zone about the crack tip is small in comparison with the crack length, the plastic intensity factors can be related directly to the elastic stress intensity factor.
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Stress-intensity factors, calculated by a three-dimensional finite-element analysis, for shallow or deep quarter-elliptical corner cracks at the edge of a hole in a finite-thickness plate are. Three-dimensional finite-element and finite-alternating methods were used to obtain the stress-intensity factors for small surface and corner cracked plates.
Surface and corner cracks usually initiate at imperfections and voids in metallic structures. These cracks usually grow into near or part-elliptical shapes . Therefore accurate stress-intensity factors for these crack configurations are needed for predicting the growth of these cracks and for predicting fracture : I.
Raju, J. Newman. The normalized mixed-mode stress intensity factors, K i N, at any point along the crack front such as that shown in Fig. 1 are taken to be in the forms of K i N = F (a / t, α, θ) for deflected surface/corner cracks and K i N = G (a / t, β, θ) for inclined surface/corner by: 6.
Stress-intensity factors for small surface and corner cracks in plates Three-dimensional finite-element and finite-alternating methods were used to obtain the stress-intensity factors for small surface and corner cracked plates subjected to remote tension and bending loads.
An evaluation of finite-element models and stress-intensity factors for surface cracks emanating from stress concentrations (to appear as ASTM Special Technical Publication).  I. Raju, S. Atluri and J. Newman, Jr. Stress-intensity factors for small surface and corner cracks in plates.
The interaction between multiple surface cracks is an important consideration in the cracking behavior due to thermal fatigue and stress corrosion cracking. However, it is difficult to evaluate the intensity of the interaction quantitatively because there are many factors, such as the relative position, size, and geometry of the cracks.
This page provides stress intensity factor solutions for common cases. Contents. Center Through Crack in Plate; Single Edge Through Crack in Plate; Elliptical Surface Crack in Plate; Corner Surface Crack in Plate; Thumbnail Crack in Solid Cylinder; Related Pages: • Fracture Mechanics • Fatigue Crack Growth.
Center Through Crack in Plate. This section will present a catalog of stress-intensity factor solutions for some typical crack geometries. Many of these solutions are found in computer programs and handbooks. Tables through summarize the solutions that are presented. The solutions are categorized by the location of the crack, either embedded, in a plate (surface or edge), or at a hole, in Tables through.
Because a crack is a notch with a zero tip radius, K t would become infinite, and this would be true for any crack length. A new concept to describe the severity of the stress distribution around the crack tip is the so-called stress intensity factor K.
This concept was originally developed through the. Improved small-crack stress intensity factors are important for accurate fatigue crack growth geometry to that of a crack in an infinite plate, and these are easily produced from finite element analysis.
Therefore, this report documents the generation of stress intensity near corner (surface) cracks, and centrally lo cated (surface. Three-dimensional finite-element and finite-alternating methods were used to obtain the stress-intensity factors for small surface and corner cracked plates subjected to remote tension and bending loads.
The crack-depth-to-crack-length ratios (a/c) ranged from to 1 and the crack-depth-to-plate-thickness ratios (a/t) ranged from to Exten sive results are given for the stress intensity factor at the midpoint of the part-through crack for both remote tensile and bending loads on the plate.
These results indicate that the stress-intensity factor is substantially lower, in general, than for a similarly loaded strip in plane strain with a crack. For instance, there are no practical stress intensity factor solutions for circular-arc cracks which can form in circular welds (e.g., nozzle to vessel shell welds and storage cask closure welds).
In this paper, stress intensity factors for circular-arc cracks in finite plates were calculated using finite element analysis. The stress intensity factor, is used in fracture mechanics to predict the stress state ("stress intensity") near the tip of a crack or notch caused by a remote load or residual stresses.
It is a theoretical construct usually applied to a homogeneous, linear elastic material and is useful for providing a failure criterion for brittle materials, and is a critical technique in the discipline of. Fonte MD, Ereitas MD () Stress intensity factor for semi-elliptical sdce cracks in round has under bending and torsion.
Int JFatigue 21(5) Shin CS, Cai CQ () Experimental and finite element analyses an stress intensity factors of an elliptical surface crack in a circular shaft under tension and bending. Int J. Table Stress Intensity Solutions for Cracks in a Plate Surface Crack in a Plate Tension K 0 = F0σ0 πa Bending K1 = F1σ1 πa F0 =M 0 g1 fφ f w f x F1 =Hc F0 t a W c fw sec π dN da for dN dc for o o 90 10 = = φ φ See Table for M0, g1, fφ, and fx equations Through Crack.
Get this from a library. Stress-intensity factors for small surface and corner cracks in plates. [I S Raju; Satya N Atluri; J C Newman; Langley Research Center.]. stress intensity factor, K. This represents the effective local stress at the crack tip. The stress intensity factor is calculated for a given geometry and load, and compared with a threshold value of K above which cracks will propagate in the given material.
Stress Intensity Factors for Pressure Vessel Surface Flaws and Nozzle Corner Cracks1 The influence of the flaw shape on the variation of stress-intensity factors along the crack front is examined for longitudinal inner surface flaws in pressure vessels, and for corner cracks present at the intersection of a pressure vessel and a nozzle.
For. improving the stress intensity factor solutions for cracks in such geometries with emphasis on hollow cylinders. Specifically, two crack configurations for cylinders are documented. One is that of a surface crack in an axial plane and the other is a part-through thumb-nail crack in a circumferential plane.
The case of a part-through surface.Crack Growth in Polymers Stress Concentration and Stress Intensity Factors. The fracture strength of structural materials is often described with the Griffith model. 1 This model is in excellent agreement with the observed fracture strength of brittle materials like glass and ceramics.
However, for polymers and metals that undergo extensive plastic deformation it gives unrealistically low.In order to analyze stress intensity factors for surface cracks with arbitrary shapes in plates and shells, the authors have developed a new finite element scheme based upon the line spring model.
In this scheme Ahmad's thick shell elements are combined with the newly developed line spring elements with quadratic shape functions.