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Tuesday, May 5, 2020 | History

3 edition of J-integral estimates for cracks in infinite bodies found in the catalog.

J-integral estimates for cracks in infinite bodies

J-integral estimates for cracks in infinite bodies

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Published by National Aeronautics and Space Administration, National Technical Information Service, distributor in [Washington, D.C.], [Springfield, Va .
Written in English


Edition Notes

StatementN.E. Dowling
SeriesNASA contractor report -- 179474, NASA contractor report -- NASA CR-179474
ContributionsUnited States. National Aeronautics and Space Administration
The Physical Object
FormatMicroform
Pagination1 v
ID Numbers
Open LibraryOL14985134M

Herein, we consider the axisymmetric problem of a penny-shaped crack in an elastic material sandwiched between other materials. It is assumed that the central substance is composed of an elastic layer held between two semi-infinite bodies with different elastic constants, and that the crack is situated in the central plane of the elastic layer and subjected to uniform pressures on its internal. A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text.

We propose a method of computing certain double integrals that are encountered in dynamic problems of the theory of elasticity for semi-infinite bodies with cracks. Application of this method makes it possible to reduce a system of boundary integral equations for the interaction of a crack with the boundary of the half-space to a form that Author: V. Z. Stankevich. Their combined citations are counted only for the first article. J integral applications for short fatigue cracks at notches. MH El Haddad, NE Dowling, TH Topper, KN Smith J-integral estimates for cracks in infinite bodies. NE Dowling. Mean stress effects in strain–life fatigue.

Introduction to Fracture Mechanics. C.H. Wang. studying fracture problems of cracked bodies from a glob al view. The energy release for a crack in an infinite plate subjected to a remote Author: Chun-Hui Wang. J-Integral Approach by Guillermo A. Riveros PURPOSE: The purpose of this Coastal and Hydraulics Engineering Technical Note (CHETN) is to describe the numerical evaluation of the stress intensity factors using the J-integral approach (Rice a, b). The stress intensity factors have been calculated for a semi-infinite plate with an edge Size: KB.


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J-integral estimates for cracks in infinite bodies Download PDF EPUB FB2

An analysis and discussion is presented of existing estimates of the J-integral for cracks in infinite bodies. Equations are presented which provide convenient estimates for Ramberg-Osgood type elasto-plastic materials containing cracks and subjected to multiaxial by: Get this from a library.

J-integral estimates for cracks in infinite J-integral estimates for cracks in infinite bodies book. [Norman E Dowling; United States. National Aeronautics and Space Administration.]. An analysis and discussion is presented of existing estimates of the J-integral for cracks in infinite bodies.

Equations are presented which provide convenient estimates for Ramberg-Osgood type elasto-plastic materials containing cracks and subjected to multiaxial : N.

Dowling. An analysis and discussion is presented of existing estimates of the J-integral for cracks in infinite bodies. Equations are presented which provide convenient estimates for Ramberg-Osgood type elastoplastic materials containing cracks and subjected to multiaxial : N. Dowling. Dowling, N.

E., “J-Integral Estimates for Cracks in Infinite Bodies,” Accepted for publication by the journal Engineering Fracture Mechanics Google Scholar by: Edge crack in a semi-infinite body and interior crack in an infinite body.

WILSON Stress-strain curves The J estimation equations will be derived for three different forms of idealized uniaxial stress-strain (o- - e) by: 4. From, the J -integral is expressed below as a function of crack length, Young's modulus and COD strain (5) J=πaE(ε ∗) 2 In elastic uniaxial plane stress conditions, the J -integral is equated to the stress intensity factor K (= σ πa) for an infinite body as (6) J= K 2 E = σ 2 πa E =πaEε 2 e where ε e is the elastic by: 3.

THE STRESS ANALYSIS OF CRACKS HANDBOOK THIRD EDITION HIROSHI TADA PAUL C. PARIS GEORGE R. IRWIN K Estimates from Finite Element Methods 25() Additional Remarks for Part I 26() A Semi-Infinite Crack in an Infinite Plane Two (Opposing) Semi-Infinite Cracks in an Infinite. The Elastic Stress Field around a Crack Tip 3 Brittle fracture in a solid in the form of crack growth is governed by the stress field around the crack tip and by parameters that describe the resistance of the material to crack growth.

Thus, the analysis of stresses near the crack tip constitutes an essen-tial part of fracture Size: KB. fracture toughness. The standard method of analysis is long and complicated which leads to a number of validity requirements that many tests fail to meet.

The objective is to find an easier and reasonably accurate estimate of elastic-plastic fracture toughness. This study has shown that there are two useful means of directly measuring the. The J-integral is equal to the strain energy release rate for a crack in a body subjected to monotonic loading [].

This is true, under quasi-static conditions, both for the linear elastic materials and for materials that experience small-scale yielding at the crack tip. Shih, C.F.

() Relationships between the J-integral and the crack opening displacement for stationary and extending cracks, J. Mech. Phys. Solids, 29, – CrossRef Google Scholar Author: G.

Webster, R. Ainsworth. An infinite strip of height 2h with a semi-infinite crack is rigidly clamped along its upper and lower faces at y = ± h (Figure 1).

Determine the value of the J-integral and the stress intensity factor, when the upper and lower faces are moved over distances u 0 for the following cases:Author: E. Gdoutos. An infinite strip of height 2h with a semi-infinite crack is rigidly clamped along its upper and lower faces at y = ± h (Figure 1).

Determine the value of the J-integral and the stress intensity. An analysis and discussion is presented of existing estimates of the J-integral for cracks in infinite bodies.

Equations are presented which provide convenient estimates for Ramberg-Osgood type. where, E ′ = E for plane stress (E is Young’s modulus), and E ′ = E /(1 – ν 2) for plane strain. The plastic part of the J-integral is calculated through the plastic work applied to the cracked specimen: [] J p = η p U p B (W − a 0) where: ηp is a dimensionless function of the geometry.

the cracked arms remotel fary away along the negative x-axis, (8) solves the stated problem. Computing the shear stress directly ahead of the crack and comparing with equation (9), equation (11) is independently verified.

References. 1 G. Irwin, "Fracture Mechanics," in. Structural MechanicsFile Size: 2MB. the J-integral for cracks in infinite bodies. Equations are presented which provide convenient estimates for Ramberg-Osgood type elasto-plastic materials containing cracks and subjected to multi axial loading.

The relationship between J and the strain normal to the crack. where is the strain energy density, is the traction vector, is an arbitrary contour around the tip of the crack, n is the unit vector normal to ;, and u are the stress, strain, and displacement field, respectively. Rice, J.

R.,showed that the J integral is a path-independent line integral and it represents the strain energy release rate of nonlinear elastic materials. The relations between the J-integral, load point displacement, crack opening displacement, and the applied load thus developed, are applicable to test configurations and cracked bodies in general.

J-Integral and Crack Opening Displacement Fracture P.C., and Merkle, J.G. () ‘Some further results of J-integral analysis and estimates’, in Progress in Flaw Growth and Fracture Toughness Testing, ASTM STPAmerican Society for ASTM Annual Book of Standards, P E, American Society for Testing and Materials.• Semi-infinite crack – HRR results for semi-infinite mode I crack Fracture Mechanics –NLFM J-Integral 19 • Multiple specimen testing (Begley & Landes, ) – Consider 4 specimens with • 4 different crack lengths a 1 File Size: 2MB.J -integral The J –integral is a very effective way of calculating the energy associated with the singularity.

• Numerical stable. • Independent of material (can be plasticity). • Easily programmed in a finite element context. • Basically postprocessing of a Finite Element model with the crack modelled. 12File Size: KB.