1 edition of **Application of the J-integral and the modified J-integral to cases of large crack extension** found in the catalog.

Application of the J-integral and the modified J-integral to cases of large crack extension

- 133 Want to read
- 23 Currently reading

Published
**1989**
by Division of Engineering, Office of Nuclear Regulatory Research, U.S. Nuclear Regulatory Commission in Washington, DC
.

Written in English

- Steel -- Fracture -- Mathematical models.,
- R-curves.,
- Fracture mechanics.

**Edition Notes**

Statement | prepared by J.A. Joyce ... [et al.]. |

Contributions | Joyce, J. A. 1945-, U.S. Nuclear Regulatory Commission. Office of Nuclear Regulatory Research. Division of Engineering., United States Naval Academy., David Taylor Research Center. |

The Physical Object | |
---|---|

Pagination | ix, 34 p. : |

Number of Pages | 34 |

ID Numbers | |

Open Library | OL15293718M |

crack (i.e., conventional MPM), ν(p,i) = 1 if the line crosses a crack and the particle is above the crack, or ν(p,i) = 2 if the line crosses the crack and the particle is below the crack. The concept of “above” or “below” the crack is relative to a coordi-nate system with the crack tip at the origin and the. 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.

Computation of a path independent contour integration but it yields directly the independent values of the opening mode and shear mode stress intensity factors. The calculations are not sensitive to the choice of contour. To the J-integral calculation, the present scheme calculates separately the factors KI and KII. A simple method to determine the SIFs for the three-dimensional crack is Cited by: 1. Linear elastic fracture mechanics A large ﬁeld of fracture mechanics uses concepts and theories in which linear elastic material behavior is an essential assumption. This is the case for Linear Elastic Fracture Mechanics (LEFM). Prediction of crack growth can File Size: 1MB.

Methods for Evaluation of the J-Integral and the Modified J-Integral. Shiro KUBO 1) 1) Faculty of Engineering, Osaka University Released /01/15 received /10/22 Full Text PDF Preview. Full Text PDF [K] Abstracts References() Cited-By(2) Full Text PDF [K]. G-based crack extension resistance I. n. an integration constant JJ-integral J. c. critical J-integral at fracture instability J. Ic. plane strain fracture toughness characterized by J-integral J. el. elastic component of J-integral J. i. crack initiation toughness characterized by J-integral J. pl. plastic component of J-integral J. maxCited by:

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Get this from a library. Application of the J-integral and the modified J-integral to cases of large crack extension. [J A Joyce; U.S. Nuclear Regulatory Commission. Office of Nuclear Regulatory Research. Division of Engineering.; United States Naval Academy.; David Taylor Research Center.;].

The J-integral is widely accepted as a measure of elastic-plastic fracture toughness of engineering en size and geometry dependence were first noted in fracture toughness measurements using the ASTM E calculation of the deformation J-integral (J d) by McCabe and Landes [1] in The modified J-integral (J m) was introduced by Ernst [2] to attempt to minimize or eliminate Cited by: Because the J-integral concept was proposed based on the deformation theory of plasticity, the J-R curve is a deformation-based result.

It has been known that the J-R curves of a material depend on specimen size and geometry; therefore, a modified J-integral or J Cited by: 5. The J-integral is widely accepted as a measure of elastic-plastic fracture toughness of engineering alloys. Specimen size and geometry dependence were first noted in fracture toughness measurements using the ASTM-E standard calculation of the deformation J-integral (J/sub d/) in Cited by: Application of the J-integral and the modified J-integral to cases of large crack extension.

Technical Report Joyce, J standard calculation of the deformation J-integral (J/sub d/) in The modified J-integral (J/sub m/) was introduced to attempt to minimize or eliminate size and geometry dependence when crack growth was appreciable.

Crack extension due to one nonproportional load cycle, step 8 above, is computed using the approach developed in Spievak et al. ().As previously mentioned, a modified Paris model that accounts for crack closure effects is used. A crack is assumed to advance when its maximum SIF is large enough to overcome closure and is larger than the maximum SIF of the previous load step.

The application of an atomistic J-inte gral to a ductile crack 11 for the largest system, that: (a) there is relaxation after emission, (b) the stress ﬁeld in between the crack tip and the. modified J-integral to cases of large crack extension, ASTM STPp, Wilson A.D.

and Donald J.K., Evaluating steel toughness using various elastic-plastic. The J-integral is widely accepted as a fracture mechanics parameter for both linear and nonlinear material is related to the energy release associated with crack growth and is a measure of the intensity of deformation at a notch or crack tip, especially for nonlinear materials.

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.

A modified line-plasticity model, involving concept of structured nonlinear zone coupled with the final stretch criterion governing the crack propagation, is used to show the effects of material strain-hardening and the redistribution of strain caused by an advancing quasi-static crack, on the essential parameters pertinent to a mathematical description of elasto-plastic fracture process Cited by: The paper presents the results of a theoretical investigation whose objective has been to see whether there are advantages to be gained from using the modified J-integral in procedures for estimating the critical crack length for CANDU pressure typical operation conditions, and with irradiated tubes having critical crack lengths over a wide range, it is shown that the slope of the Author: E.

Smith. J-Integral Near a Stationary Crack in an Elastic-Plastic Material The path-dependence of the J-integral is investigated numerically via the ﬁnite-element method, for a range of loadings, Poisson’s ratios, and hardening exponents within the context of J 2-ﬂow plasticity.

Small-scale Cited by: Elastic and elastic-plastic fracture mechanics solutions are modified to predict the behaviour of short cracks. An effective crack length, l 0 is introduced into the solutions for both the linear elastic stress intensity factor and the J integral.

Crack growth results for short cracks, in both elastic and plastic strain fields of unnotched specimens, when interpreted in terms of the modified Cited by: The J-integral represents a way to calculate the strain energy release rate, or work per unit fracture surface area, in a material.

The theoretical concept of J-integral was developed in by G. Cherepanov and independently in by James R. Rice, who showed that an energetic contour path integral (called J) was independent of the path around a crack. happen, is a small region compared to the specimen size, and is at the crack tip • Therefore – Linear elastic stress analysis describes the fracture process with accuracy Mode I Mode II Mode III (opening) (sliding) (shearing) Fracture Mechanics –NLFM J-Integral 2File Size: 2MB.

deformation, stress, and the J-integral in 3D for a bi-modular three point bend cracked specimen as shown in Fig. The properties of nuclear grade graphite material incorporated in this study has been referred from graphite design hand book [14].

The evaluation of J-integral for 3D is a tedious task even for a unimodular case due to. 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.

as a unique way of experimentally measuring the J-Integral. The crack driving force will usually be determined numerically and as such the J-Integral method is the best method. Codes The most popular codes, in terms of fracture parameters, can be delineated into two groups; J-Integral - EPRI, R6, PD and ETMFile Size: 29KB.

J Integral Continued Z d u M @ u d = w d y T s d a S x J J represents the rate of change of net potential energy with respect to crack advance (per unit thickness of crack front) for a non-linear elastic solid. J also can be thought of as the energy ﬂow into the crack tip.

Thus, J is a measure of the singularityFile Size: KB. Test results from J Ic studies are analyzed by a resistance curve technique. J values from bend type specimens containing a deep precrack are plotted as a function of crack extension measured from the specimen fracture surface.

Using these plots a technique is suggested for establishing a J Ic measurement point. Data from an A steel are presented for describing this method of J Ic by: A mathematical expression; a line or surface integral that encloses the crack front from one crack surface to the other, used to characterize the fracture toughness of a material having appreciable plasticity before fracture.

The J-integral eliminates the need to describe the behaviour of the material near the crack tip by considering the local stress-strain field around the crack front; Jk is.This paper is an extension of our previous works to examine whether the failure criterion can be applied to examine the feasibility of miniaturized Charpy type SE(B) specimens, that is, (1) whether the criterion could predict the occurrence of cleavage fracture accompanied by negligibly small stable crack extension (hereinafter denoted as fracture) and (2) whether is identical to that observed Cited by: 4.