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bdG- qiooq-$G - - 7 EVALUATING THE SAFETY OF AGING NUCLEAR REACTOR PRESS U RE V ES S E tS* W. E. PENNELL Engineering Tecbnoiogy Division Oak Ridge National Laboratory ABSTRACT Regulatory requirements limit the permissible accumulation of irradiation damage in REV material such that adequate fracture-prevention margins are maintained throughout the licensed operating period of a nuclear plant. Experience with application of those requirements has identified a number of areas where they could be further refined to eliminate excess conservatism. Research is ongoing to provide the data required to support refinement of the regulatory requirements. Research programs are investigating the effects of local brittle zones. shallow flaws. biaxial loading, and stainless steel cladding. Preliminary results h m this research indicate a potential for beneficial changes in the P-T curve and PTS analysis rules. INTRODUCTION The aging mechanism of primary concern for RPVs is irradiation-induced embrittlement of the beltline material. Irradiation-embrittlement decreases both the cleavage fhcture toughness and the ductile tearing toughness of RPV material. RPV operating conditions of primary concern itr brittle-fkicture prevention are those which produce high stresses at low temperature. because cleavq-- toughness of the irradiated material is lowest at low temperatures. Controlling conditions for RPV brittle fhcture prevention occur during heatup and cooidown of the reactor. and during operation of the emergency core cooling system. For some RPVs an additional concern exists at higher operating temperatures. These RPVs contain materials with a reduced resistance to failure by ductile tearing. Ductile tearing tau-&ness is lowest at high temperatures. Governing conditions for ductile tearing evaluations if~l: those that produce high stresses when the RPV is still at *Research described in this paper was sponsored by the Office of Nuclear Regulatory Research. Division of Engineering, US Nuclear Regulatory Commission. under Interagency A, nreement DOE 1886-801 1-9B with the US Department of Energ under Contract DE-AC05-960R22464 with Lockheed Martin Energy Research Corp. The submitted manuscript has been authored by a conuactor of the U.S. Government under Contract No. DE-ACO5- 960R22464. Accordingly, the U.S. Government retains a nonexclusive. royalty-free license to publish or reproduce the published form of this contribution. or allow others to do so. for U.S. Government purposes. high temperature. An example of such a condition would be the early stage of an RPV cooldown transient. Data and analysis methods developed and validated in U. S . Nuclear ReguiatOry Commission (NRC) sponsored research programs have provided much of the technolo,g fm monitoring the progressive irradiation-embrittlement d RPV materials and assessing the tiacme strength of the RPV. That technology has been incorporated into regulatory requirements and guides, and national consensus Codes and Standards. Requirements defined in those documents limit the permissible accumulation of irradiation damage in RPV material such that adequare fracture- prevention margins are maintained throughout the licensed operating period of a nuclear plant. The regulatory requirements and guides are based on fbcture mechanics technology and utilize materials aging data dram from RPV irradiationdamage surveillance programs. A summary d the regulatory process for assuring the retention of adequate fracture prevention margins in RPVs is given in Fig. 1. Experience with applicationof the RPV integrity assessment procedures of Fig. 1 has identified a number of areas where those procedures would benefit from additional refinement. Areas targeted for refinement are those in which a more accurate representation of the RPV service conditions wouid eliminate excess conservatism while assuring retention d adequate kcme prevention margins. Further Cfiaractervatl ' 'on of the fiactm toughness of RPV materials, efFects of prototypical crack-tip constraint on that liactue toughness, cladding effects, and analysis techniques, have ai1 been identified as areas in which beneficial advances are possible. This paper presents a review of some of the --- Figure I. Regulatory requirements limit the permissible irradiation embrittlement of reactor vessel materiais such that adequate fracture prevention margins are maintained under both operating and potential accident loading conditions.

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Page 1: EVALUATING THE SAFETY OF AGING NUCLEAR REACTOR …/67531/metadc666200/... · EVALUATING THE SAFETY OF AGING NUCLEAR REACTOR PRESS U RE V ES S E tS* W. E. PENNELL ... monitoring the

bdG- qiooq-$G - - 7 EVALUATING THE SAFETY OF AGING NUCLEAR REACTOR

PRESS U RE V ES S E tS*

W. E. PENNELL Engineering Tecbnoiogy Division Oak Ridge National Laboratory

ABSTRACT

Regulatory requirements limit the permissible accumulation of irradiation damage in REV material such that adequate fracture-prevention margins are maintained throughout the licensed operating period of a nuclear plant. Experience with application of those requirements has identified a number of areas where they could be further refined to eliminate excess conservatism. Research is ongoing to provide the data required to support refinement of the regulatory requirements. Research programs are investigating the effects of local brittle zones. shallow flaws. biaxial loading, and stainless steel cladding. Preliminary results h m this research indicate a potential for beneficial changes in the P-T curve and PTS analysis rules.

INTRODUCTION

The aging mechanism of primary concern for RPVs is irradiation-induced embrittlement of the beltline material. Irradiation-embrittlement decreases both the cleavage fhcture toughness and the ductile tearing toughness of RPV material. RPV operating conditions of primary concern itr brittle-fkicture prevention are those which produce high stresses at low temperature. because cleavq-- toughness of the irradiated material is lowest at low temperatures. Controlling conditions for RPV brittle fhcture prevention occur during heatup and cooidown of the reactor. and during operation of the emergency core cooling system. For some RPVs an additional concern exists at higher operating temperatures. These RPVs contain materials with a reduced resistance to failure by ductile tearing. Ductile tearing tau-&ness is lowest at high temperatures. Governing conditions for ductile tearing evaluations if~l: those that produce high stresses when the RPV is still at

*Research described in this paper was sponsored by the Office of Nuclear Regulatory Research. Division of Engineering, US Nuclear Regulatory Commission. under Interagency A, nreement DOE 1886-801 1-9B with the US Department of Energ under Contract DE-AC05-960R22464 with Lockheed Martin Energy Research Corp.

The submitted manuscript has been authored by a conuactor of the U.S. Government under Contract No. DE-ACO5- 960R22464. Accordingly, the U.S. Government retains a nonexclusive. royalty-free license to publish or reproduce the published form of this contribution. or allow others to do so. for U.S. Government purposes.

high temperature. An example of such a condition would be the early stage of an RPV cooldown transient.

Data and analysis methods developed and validated in U. S . Nuclear ReguiatOry Commission (NRC) sponsored research programs have provided much of the technolo,g fm monitoring the progressive irradiation-embrittlement d RPV materials and assessing the tiacme strength of the RPV. That technology has been incorporated into regulatory requirements and guides, and national consensus Codes and Standards. Requirements defined in those documents limit the permissible accumulation of irradiation damage in RPV material such that adequare fracture- prevention margins are maintained throughout the licensed operating period of a nuclear plant. The regulatory requirements and guides are based on fbcture mechanics technology and utilize materials aging data dram from RPV irradiationdamage surveillance programs. A summary d the regulatory process for assuring the retention of adequate fracture prevention margins in RPVs is given in Fig. 1.

Experience with application of the RPV integrity assessment procedures of Fig. 1 has identified a number of areas where those procedures would benefit from additional refinement. Areas targeted for refinement are those in which a more accurate representation of the RPV service conditions wouid eliminate excess conservatism while assuring retention d adequate k c m e prevention margins. Further Cfiaractervatl ' 'on of the fiactm toughness of RPV materials, efFects of prototypical crack-tip constraint on that liactue toughness, cladding effects, and analysis techniques, have ai1 been identified as areas in which beneficial advances are possible. This paper presents a review of some of the

--- Figure I. Regulatory requirements limit the permissible irradiation embrittlement of reactor vessel materiais such that adequate fracture prevention margins are maintained under both operating and potential accident loading conditions.

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DISCLAIMER

Portions of this document may be illegible in electronic image products. Images are produced from the best available original document.

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ongoing NRC-sponsored research implemented to provide a basis for those advances. The potential impact of this research on specliic RPV structurai integrity evaluation procedures is also reviewed.

SELECTION OF RESEARCH TOPICS

Pressure-Temperature Operating Envelope

SweiIIance program data are used to periodically adjust the upper bound to the reactor pressure-temperature (P-T) operating envelope. Adjustment is required to maintain margins against h c t m of 2 on pressure loading and 1 on simultaneously applied thermal loading. Fracture prevention margins are calculated assuming a semielliptical inner- srrrface flaw with a depth of 25 percent of the RPV wall thickness (1/4t). Adjustment of the P-T curve in response to irradiation embrittlement of the RFV material has the effect of restricting the permissible reactor P-T operating envelope, as illustrated in Fig. 2.

Analyses required to define the P-T curve must be performed using lower bound (Ki,) dynamic hcture toughness properties. This requirement reflects a concern that fi;acane could originate fiom local brittle zones in the RPV and propagate in a dynamic manner to the 114t depth. Speclfication of a U4t flaw for the P-T curve analyses is a reflection of limited capabilities of the non-destructive examination (NDE) technology available at the time the rules were written. Current inservice inspection rules far RPVs require that NDE equipment. procedures. and personnel, be capable of detecting and accurately sizing a flaw UlOth the size of the 1/4t r e h c e flaw. Further development of the P-T curve rules appears possible in the areas of materials fiachrre toughness and rekmce flaw size. Research on the eft= of pop-ins and local brittle zones. shallow-flaw fixture toughness. and fracture analysis methods was undertaken to support that development.

R A N R E L

Figure 2. Adjustment of the reactor P-T curve in response to irradiation embrittlement of the vessel material severely restricts the permitted reactor operating envelope.

Pressurized Thermal Shock

Key input parameters to a probabilistic PTS analysis are defined in terms of cumulative distribution functions (CDFs) derived from available test or mspection data Parameters in this category include the initial flaw size distribution and the material composition and fhcture toughness. The flaw size distribution used in current PTS analyses predicts that over 90 percent of the flaws in an RPV will have a depth not greater than 0.6 in. Current PTS analysis methods require that all shallow flaws be assumed to extend through the cladding to the inner surface of the REV, and be considered to be infinitely long. The flaws of dominant concern in a PTS analysis are, therefore. shallow surface flaws.

Fracture toughness data used in PTS analyses were obtained fiom tests of compact tension specimens, where the de-- of crack-tip constraint is much higher than would exist at the tip of a shallow swhcdaw in an RPV, even when the e f f m of biaxial loading are present. The mean iiadure toughness of a material increases as crack-tip consmint decreases. ,Material fiactm toughness data currently in use in PTS analyses are, therefore, conservative. The requirement that shallow surface cracks be assumed to be infinitely long derives kom thermal shock tests on thick- wall cylinders in which finite-length shallow surfiu~flaws propagated along the flII.face to become long flaws. The cylinders in these tests had no stamless-steel cladding. Subsequent tests with clad cylinders showed that cladding could inhibit crack initiation fiom some shallow surhce- flaws. The assumption of infinite length for all shallow surface-flaws is, therefore. conservative. Research on cladding eEects. shallow-flaw hcture toughness, biaxiai loading eff- and analysis methods, was undertaken to support refinement of the PTS evaluation technology.

CURRENT RESEARCH

Local Brittle Zones and PopIns

The KI, scatter band and lower bound toughness kr irradiated RPV steel have been investigated both with and without popins (Ref. 1). Results from this investigation are reproduced in Fig. 3. They show that in general the pop-in results lay within the KJ, scatter band for specimens which failed without pop-ins. At most, the inclusion of the pop-in data marglnally lowers the lower bound of the KIc data. Results from this research indicate that a case can be made for the use of a fiacum toughness curve higher than the KI. curve for P-T curve analysis.

Shallow-Flaw Fracture Toughness

Fracture toughness tests have been PerfOITned on large beam specimens using both deep (a lW4.5) and shallow (a/W=O.l) flaws (2-4). Beam specimens used in some d these tests are shown in Figs. 4 and 5. The beams tested by Oak Ridge National Laboratory (ORNL) (Fig. 4) were fabricated from A533B material and were nomklly 4-in deep. Beams with a 9-in-square cross-section (Fig. 5) were

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Figure 3. A lower bound fracture toughness curve reflecting pop-in test data differes very little from one derived from I(J, data.

Figure 4. +indeep beams were used in the shaiiow- flaw test program to permit full-scale testing of surface flaws having depths in the range that PTS analysis has shown to be the controlling range for crack initiation.

Figure 5. A limited number of full-scaie beam specimens used in the shallow-flaw test program were cut from the sheli of an RPV from a cancelled plant.

cut fiom the reactor vessel from a canceled nucleat plant and tested, under a Heavy-Section Steel Technology (HSST) program subcontract, by the National Institute for Standards and Technoiogy 0. The inna-s& stainless steel cladding remained in place on the full-scale beams tested by NIST, and the flaws were located in the reactor vessel longitudinal welds. Shallow-flaw hcture toughness data were generared by the Naval S- Wartkt Center (NSWC), in Annapolis, Maryland, using 3.5-in-deep beam specimens fabricated h m RPV material which had been heat treated to increase its yield stress. Use of large-scale beams in all of these programs permitted testing of shallow flaws with depths in the range idennfied as critical for PTS analysis.

Deep-flaw and shaiiow-flaw tiactwe toughness data generated in these tests are plotted as a function of the normalizing temperature NDT in Fig. 6. The lower-bound curves for the deep- and shallow-flaw data are seen to be similar. but the mean fhcture toughness and scatter of data are sipnrficantly higher for shallow flaws than for deep flaws. These data trends have a special significance for PTS analyses where a CDF is used to define the material fracture toughness.

Biaxial Loading Effects

A typical biaxial stress field produced by PTS transient loading is shown in Fig. 7, together with a constant-depth shallow surface flaw. One of the principal stresses is seen to be aligned parallel to the crack h n t . There is no counterpart of this f‘ar-feld out-of-plane stress in the shallow- flawfmmre tou-&ness tests previously described The fsr- field out-of-piane mess has the potential to increase stress triaxiality (consuaint) at the crack tip and thereby reduce some of the fmcture toughness elevation associated with shallow flaws. A cruciform test specimen was developed at ORNL to investigate the e&& of biaxial loading on the shallow-flaw fiacMe toughness of pressure vessel steels. Conceptual features of the specimen are shown in Fig. 8.

0 Dew Flaw - Lab Scab 0 Deeo F W - Full Sal0

--cower Bound - Shalw Flaw - -.Lowe# Bound - Deep Flaw

r“ 300

x :

-1M) -50 0 50 100 T-NOT (“F)

Figure 6. The shallow-flaw effect produces a substantial increase in both mean fracture toughness and data scatter at temperatures in the transition temperature range.

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Figure 7. PTS loading produces biaxial stresses in an RPV wail with one of the principal stresses aligned parallel with the tip of a constant depth shallow surface flaw.

I P d

, SHAUOW SUXFACE CRACK

REACTOR

INNER

Figure 8. Conceptual features of the cruciform shallow- flaw biaxial fracture toughness test specimen.

The specimen design is capable of reproducing a linear approximation of the nonlinear biaxial stress distribution shown in Fig. 7.

An initial series of biaxial tests has been completed using test specimens fabricated from a single heat of A533B material. The biaxial load ratio is defined as PT/PL, where PT is the total load applied to the transverse beam arms. and PL is the total load applied to the longitudinal anns. Tests were run with PT/PL ratios of 0.0, 0.6. and 1.0. K J ~ data from the biaxial tests (Ref. 5 ) are shown in Fig. 9. plotted as a function of the biaxiality ratio PTIPL. The piot shows a decrease in the lower-bound transition-range shallow-flaw

. .

SENB-O~ppvpw) c r u c d o n n ~ ~ - CNcdonnWh6

* C N C d o m , ~ l

----------------

O t -CWonnLowerBovnd

-50 ' ' ' . . ' I '

-0.2 0 0.2 0.4 0.6 0.8 1 1.2 Bimaiw Ratio (Pj PL)

Figure 9. Data from a single heat of A 533 B material show that biaxial loading reduces the lower bound fracture toughness of RPV steel but data scatter remains high at PT/PL=~.O.

fi-acture toughness with increasing biaxiality ratios. As the biaxiality ratio approaches 1.0, the lower bound to the shallow-flaw fkcture toughness approaches that derived h m uniaxial deeprrack data, but the mean f i a d u ~ toughness and data scatter for shallow flaws under biaxial loading remain sigruficantly higher than the corresponding values from the deep-flaw uniaxial tests. These results indicate that transition-ranee shallow-flaw fracture toughness data must be adjusted for biaxial effects for application in both P-T curve and PTS analyses.

Cladding Effects

Current PTS analysis methods do not consider the iiacme toughness of the stainless steel cladding, which can be much higher than the fiactm toughness of the base material. Predicted crack initiation sites for some finte-length shallow surtace flaws are located within the clad-material segment d the crack front Analytical studies (Ref. 6) have shown that inclusion of clad h c t m toughness properties in a PTS analysis can prevent cxack initiation for a sigmficant subset of finite-lengb shallow surf'ace-flaws. Potential benelits cf including this cladding effea in a PTS analysis are substantial. Research has been instituted to obtain experimental verification of the predicted efkds of cladding on crack initiation fiom finite-length shallow sllrf8ce-flaw. Cruciform beam specimens, with finite-length surface flaws. are being machined h m shell segments taken fiom the RPV h m an abandoned nuclear plant. The 4-in-thick cruciform specimens are machined such that the original RPV cladding is retained, thereby assuring prototypical cladding properties in these tests. Finite length shallow surf8ce flaws are machined into the clad swfkce and sharpened by fatigue loading.

Biaxial loading influences constraint around the crack fiom of a fmite-length surface flaw such that the crack initiation site moves towards the slnface of the specimen. Fracture surfitces h m some of the development specimens in this

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test series illustrate this e i k t (Fig. IO). Inclusion of the effect of b i d loading in an investipanon of cladding effects is neceSSary because it moves the crack initiation site towards the segment of the crack h n t where fiacnne toughness is governed by the cladding and the heat-afWed- zone properties. The cladcrucifom beam tests permit the efkcts of cladding toughness and biaxial loading to be accurateiy represented The use of mechanical loading to simulate the effects of thermal stress permits tests to be run at controlled temperatures within the mition-temperature range of the fiacture toughness curve. Testing of the clad- cruciform specimens is scheduled to start in the second haif of 1996.

PRELIMINARY APPLICATION ASSESSMENTS

P-T Curve

Results fiom the investigation of local-brittle-zone and pop- in effects support a reevaluation of the use of in €'-T curve analysis. Improvements in RPV NDE technology support a case for reducing the ~ h c e flaw size to the shallow-flaw domain. Preliminary evaluations have been made to determine the potential benefit to be derived bm these developments.

Data from the shallow-flaw and biaxial-loading-effects research provide the basis for investigating possible alternates to KIM for a P-T curve analysis with a reduced r e f m e flaw size. In this evaluation (Ref. 7) the ASME Code Krc and Kr. fixcture toughness curves were redefined

(a) Uniaxial (0:l) Load

by substituting T-NDT in place of T-RTNDT, and used as a h e of ref- for a potermal shallow-flaw biaxial-loading fhtm-to- curve. Lower-bund results fbm the biaxial and UIllaXrai shallow-flaw tests were used to estimate the location of a lower-bound kc tm toughness curve appropriate for a reduced refaence flaw depth. The ratio d biaxial to the umaxial shallow-flaw fkcture toughness, under otherwise identical conditions, was fomd to be 0.56. The lower-bound data point at T-NDT = 43'F was obtained &om uniaxial shallow-flaw tests on a full-scale test specimen. An estimated lower bound value for shallow-flaw fkicture toughness under biaxial loading (Kra) was obtained by factoring the lower bound uniaxial heme toughness value by 0.56. The location of K J ~ relative to the redefmed ASME K I ~ and KI. curves is shown in Fig. 11. The inference Ikom this result is that a fracture-toughness curve higher than the Code Kta curve could be justified if the reference flaw size were to be sipficantly reduced Additional shallow-flaw uniaxial and biaxial fiacm~ toughness data on multiple heats of material and covering a range of normahzed temperarures would be required to define that curve.

PTS Analysis

Shallow flaw iiacum toughness data exhibit an increase in both mean values and data scatter when compared with the deepflaw ASME data used to define the h c t m toughness CDF in c m t PTS analyses. The limited shaiiow-flaw biaxial-loading data base was used to generate biaxial- loading correction factors which were applied to the uniaxial-loading shallow-flaw hare-toughness data. Application of biaxial-loading correction tactorS reduced the mean and lower bound shallow-flaw fiacarre toughness by 1 1 percent and 43 percent, respectively.

Probabilistic fixture mechanics analyses were perfonned to

160

Adjustment g100

m 2 60

4 0 Y

1 ASME cod0 K , n

2 o o-2w L -150 -100 -50 '

i

- 5 0 100 150

Normalized Temperature. T-NDT, ("F)

Figure 10. Biaxial loading caused the initiation site to move away from the deepest point of the flaw and towards the free surface in development tests of un-clad cruciform specimens with finitelength shallow surface- flaws.

Figure 11. The lowest data point from the full-scale uniaxial shallow-flaw fracture-toughness tests on weld material is located between the redefined ASME K I ~ and K1. curves when adjusted for the possible effects of biaxial loading.

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- I E 10-31 / A0

V . .- I - .

0 3 .

&\ Shallor flaw unanal K correlation 0 -

' O A 0 ' ' 230 240 . ' 250 ' .260. .270 ' 280 290 300 NDTs+2 0 = RTNoTsf;P ('F)

Figure 12. Substitution of shallow-flaw fracture- toughness data with biaxial-effect correction in place of the ASME Krc data base io a PTS analysis reduces the conditional probability of failure by approximately one order of magnitude.

determine the sensitivity of the predicted conditional probability of crack initiation to the effects of shaliow-flaw and biaxial-loading on Krc (Ref. 7). The anaiyses were performed using the FAVOR computer propram (Ref. 8) and a PTS transient which included repressurization at approximately 90 minutes into the transient. The level cf irradiation embrittlement of the inner surface of the RPV was charactenzed using a range of RTNDT values. Results limn the sensitivity analyses are shown in Fig. 12, where the conditional probability of crack initiation is plotted as a function of R T ~ T .

Results obtained using the tiactme toughness data base currently in use for PTS analyses provide a baseline h evaluating the shallow-flaw and biaxial-loading effectF. Use of the shallow-flaw hcture-toughness data without any correction for biaxial efEm reduces the conditional probability for crack initiation by approximately two orders of magnitude. Application of biaxial-loading correction factors reduces the shallow-flaw effea but the predicted Conditional probability of crack initiation is still approximately one order of magnitude less than the baseline value.

While the results shown in Fig. 12 are for crack initiation. it should be noted that PTS analysis experience has shown that the conditional probabilities of CIilCk initiation and vessel failure are closely related. The infixence h m these results is that signrficant PTS evaluation benefits can be obtained from the generation of a shallow-flaw uniaxial and biaxial data base for multiple heats of material.

CONCLUSIONS

A number of areas have been identified where P-T curve and PTS analysis technology could be further refined to

eliminate excess conservatism. Preliminary results have been obtained fiom research programs i n i t i d to provide some of the data requrred to support refinement of the P-T curve and PTS analysis technology. Evaluations performed using these prelimmary data have shown a potential fir sigmficant benefichi effects i f d c i e n t data can be produced

REFERENCES

1. McCabe, D. E. et al., Oak Ridge National Lab.. "Investigation of the Bases for Use of the Krc Curve,"

2 13/MPC -Vol. 32, 141-148, New York, June 1991. Pressure Vessel Integrity-1991, BME PV P-Vol.

2 .

1 3 .

4.

5 .

6.

7.

8.

Theiss, T. H. et al., Oak Ridge National Lab., "Experimental and Analytical Investigation of the Shallow-Flaw Effect in Reactor Pressure Vessels," NUREWCR-5886 ( O m - 1 2 1 Oak Ridge, TN, July 1992.

Keeney, J. A. et al., Oak Ridge National Lab.. "Preliminary Assessment of the Fracture Behavior d Weld Material in Full-Thickoess Clad Beams," NuREG/CR-6228(ONfl-M- 127352 Oak Ridge, TN, October 1994.

Link,R. E. et al., Naval Surfice Warfhre Center, Carderock Division, "Experimental Investigation d Fracture Toughess Scaling Models", Constraint Effects in Fracture: Theory and Applications, ASTM STP

M. Kirk and A. Bakker, E&., Philadelphia, 1994.

McAfee, W. J. et al., Oak Ridge National Lab., "Biaxial Loading Effects on Fracture Toughness d Reactor Pressure Vessel Steel," -1CR-6773 (-, Oak Ridge, TN, March 1995.

Bass, B. R. et ai., Oak Ridge National Lab., "An Assessment of Clad Modeling EfIkts on Predictions cf Cleavage initiation in Embrittled Reactor Pressure Vessels Subjected to PTS Transients," NRC letter report -95 -16 Oak Ridge, TN, August 1995.

Pennell, W. E. et al., Oak Ridge National Lab., "Preliminary Assessment of the EfWs of Biaxial Loading on Reactor Pressure Vessel Structural- Integrity-Assessment Techoology," NRC letter report 0-95-1, Oak Ridge, TN, October 1995.

Dickson, T. L., Oak Ridge National Laboratory, "FAVOR A Fracture Analysis Code for Nuclear Reactor Pressure Vessels," Release 9401, NRC letter report ORNI .lNQJJ,,TR/94 -L Febntary 1994.

DISCLAIMER

This report was prepared as an account of work sponsored by an agency of the United States Government. Neither the United States Government nor any agency thereof, nor any of their employees, makes any warranty, express or implied, or assumes any legal liability or responsi- bility for the accuracy, completeness, or usefulness of any information, apparatus, product, or process disclosed, or represents that its use would not infringe privately owned rights. Refer- ence herein to any specific commercial product, process, or service by trade name, trademark, manufacturer, or otherwise does not necessarily constitute or imply its endorsement, recom- mendation, or favoring by the United States Government or any agency thereof. The views and opinions of authors expressed herein do not necessarily state or reflect those of the United States Government or any agency thereof.