Influence of Primary and Secondary Crystallographic Orientations on Strengths of Nickel-based Superalloy Single Crystals

Similar documents
TENSION/COMPRESSION ASYMMETRY IN CREEP BEHAVIOR OF A Ni-BASED SUPERALLOY

1) Fracture, ductile and brittle fracture 2) Fracture mechanics

A.W. GODFREY and J.W. MARTIN. Oxford University Department of Materials Parks Road OXFORD OX1 3PH, UK. Abstract

Influence of Phosphorus on Deformation Mechanism and Mechanical Properties of IN718 Alloy

Chapter Outline: Failure

INTERMEDIATE TEMPERATURE CREEP DEFORMATION IN CMSX-3. Tresa M. Pollock and A.S. Argon Massachusetts Institute of Technology, Cambridge, MA.

ON THE DEFORMATION BEHAVIOR OF NICKEL-BASE SUPERALLOYS. D. M. Shah and D. N. Duhl

Deformation Twinning in Bulk Aluminum with Coarse Grains

A THERMOMECHANICAL FATIGUE CRACK INITIATION MODEL FOR DIRECTIONALLY-SOLIDIFIED NI-BASE SUPERALLOYS

Index. Atmosphere Effect on fatigue processes, 49, 200 Auger spectroscopy, 51 A533-B steel Mode II fracture, 235, 242 B

Texture and properties - II

Lecture # 11 References:

Creep and High Temperature Failure. Creep and High Temperature Failure. Creep Curve. Outline

CREEP DEFORMATION MECHANISMS IN SOME MODERN SINGLE-CRYSTAL SUPERALLOYS

Prediction of fatigue crack propagation in aluminum alloy with local yield strength gradient at the crack path

Finite-element modelling of anisotropic single-crystal superalloy creep deformation based on dislocation densities of individual slip systems

Chapter Outline Dislocations and Strengthening Mechanisms. Introduction

Fatigue Crack Initiation and Propagation in Lotus-Type Porous Copper

CHARACTERIZATION OF TITANIUM ALLOYS FOR CRYOGENIC APPLICATIONS

Introduction to Engineering Materials ENGR2000 Chapter 8: Failure. Dr. Coates

Effect of Occasional Shear Loading on Fatigue Crack Growth in 7075 Aluminum Alloy M. Makizaki 1, a, H. Matsunaga 2, 4, b, K. Yanase 3, 4, c 3, 4, d

Grain Boundary Decohesion and Particle- Matrix Debonding in Aluminum Alloy T651 using the PPR Potential-Based Cohesive Zone Model

THICKNESS DEBIT IN CREEP PROPERTIES OF PWA 1484

DWELL NOTCH LOW-CYCLE FATIGUE PERFORMANCE OF POWDER METAL ALLOY 10

Recrystallization Theoretical & Practical Aspects

Tensile Strength and Pseudo-elasticity of YAG Laser Spot Melted Ti-Ni Shape Memory Alloy Wires

THE EFFECT OF TEMPERATURE AND MEAN STRESS ON THE FATIGUE BEHAVIOUR OF TYPE 304L STAINLESS STEEL INTRODUCTION

STRENGTHENING MECHANISM IN METALS

a. 50% fine pearlite, 12.5% bainite, 37.5% martensite. 590 C for 5 seconds, 350 C for 50 seconds, cool to room temperature.

Introduction to Joining Processes

Simulation of Hydrogen Embrittlement at Crack Tip in Nickel Single Crystal by Embedded Atom Method

Alloy Design and Innovative Manufacturing Technology of High-Strength Ni-base Wrought Alloy for Efficiency Improvement in Thermal Power Plants

DEVELOPMENT OF Ni BASE SUPERALLOY FOR INDUSTRIAL GAS TURBINE

D. BLAVETTE*, P. CARON** and T. KHAN**

The right choice of steel according to the Eurocode

MMPDS January 2003 CHAPTER 5 TITANIUM

Study of microstructure and mechanical properties of high performance Ni-base superalloy GTD-111

FATIGUE CRACK GROWTH BEHAVIOUR UNDER MIXED MODE LOADING IN UDIMET 720 SX

Hot-crack test for aluminium alloys welds using TIG process

CREEP AND FATIGUE CRACK GROWTH IN SEVERAL CAST SUPERALLOYS

Microstructural and Textural Evolution by Continuous Cyclic Bending and Annealing in a High Purity Titanium

Testing and Analysis

Fundamentals of Plastic Deformation of Metals

Orientation Dependence of Stress Rupture Properties of a Ni-based Single Crystal Superalloy at 760 C

Dislocations and Plastic Deformation

Technologies for Process Design of Titanium Alloy Forging for Aircraft Parts

Twins & Dislocations in HCP Textbook & Paper Reviews. Cindy Smith

Microstructure Evolution of Polycrystalline Pure Nickel during Static Recrystallization 1

CHAPTER 4 1/1/2016. Mechanical Properties of Metals - I. Processing of Metals - Casting. Hot Rolling of Steel. Casting (Cont..)

EFFECT OF LOCAL PLASTIC STRETCH OM TOTAL FATIGUE LIFE EVALUATION

MAE 171A MECHANICAL ENGINEERING LABORATORY Materials Testing Laboratory Week 1 - LINEAR ELASTIC FRACTURE MECHANICS

ETA PHASE FORMATION DURING THERMAL EXPOSURE AND ITS EFECT ON MECHANICAL PROPERTIES IN NI-BASE SUPERALLOY GTD 111

Mechanical Properties of Metals. Goals of this unit

Development of Microstructure and Mechanical Properties in Laser-FSW Hybrid Welded Inconel 600

The Effect of Crystallographic Texture on the Wrap Bendability in AA5754-O Temper Sheet Alloy

REVISED PAGES IMPORTANT TERMS AND CONCEPTS REFERENCES QUESTIONS AND PROBLEMS. 166 Chapter 6 / Mechanical Properties of Metals

Shape Memory Alloys: Thermoelastic Martensite

arxiv: v1 [cond-mat.mtrl-sci] 8 Nov 2016

Investigation of Impact Behavior of TIG Welded Inconel 718 at Aircraft Engine Operating Temperatures. Yağız Uzunonat a,

FINITE ELEMENTSIMULATION IN ORTHOGONAL MACHINING OF INCONEL 718 ALLOY

MATERIALS SCIENCE-44 Which point on the stress-strain curve shown gives the ultimate stress?

Strengthening Mechanisms

HAYNES 244 alloy a new 760 C capable low thermal expansion alloy

Effects of Post Weld Heat Treatment (PWHT) Temperature on Mechanical Properties of Weld Metals for High-Cr Ferritic Heat-Resistant Steel

Characterization of Mechanical Properties of SiC/Ti-6Al-4V Metal Matrix Composite (MMC) Using Finite Element Method

FACTORS WHICH INFLUENCE DIRECTIONAL COARSENING OF y' DURING. Rebecca A. MacKay* and Lynn J. Ebert**

A New Standard for Radiographic Acceptance Criteria for Steel Castings

SUPERALLOY : PROCESSING AND PERFORMANCE

Tensile/Tension Test Advanced Topics

Influence of Stress Ratio of Biaxial Tensile Test on the Lüders Band Formation in Al-Mg Alloy Sheets

ENGN2340 Final Project Computational rate independent Single Crystal Plasticity with finite deformations Abaqus Umat Implementation

Microstructures and Mechanical Properties of Ultra Low Carbon IF Steel Processed by Accumulative Roll Bonding Process

ME -215 ENGINEERING MATERIALS AND PROCESES

Module-6. Dislocations and Strengthening Mechanisms

Creep Rates and Stress Relaxation for Micro-sized Lead-free Solder Joints

A Review of Suitability for PWHT Exemption Requirements in the Aspect of Residual Stresses and Microstructures

Mechanical Properties

LOW CYCLE FATIGUE AND FATIGUE GROWTH BEHAVIORS OF ALLOY IN7 18. J. 2. Xie. Institute of Aeronautical Materials Beijing , P. R. China.

Quiz 1 - Mechanical Properties and Testing Chapters 6 and 8 Callister

HOLISTIC MULTISCALE SIMULATION APPROACH FOR ADDITIVE LAYER MANUFACTURING OF PLASTICS

Determination of through thickness properties for Composite thick laminate S.Vali-shariatpanahi * * Stress Engineer/Durability group leader -Airbus

Ceramic Processing Research

EFFECT OF THE LCF LOADING CYCLE CHARACTERISTICS ON THE FATIGUE LIFE OF INCONEL 718 AT HIGH TEMPERATURE

1 Introduction. Zhen-Xue Shi 1 Shi-Zhong Liu

MICROSTRUCTURAL INVESTIGATION OF SPD PROCESSED MATERIALS CASE STUDY

DEFORMABILITY OF STRIPS OF NICKEL SUPERALLOYS INTENDED FOR SHELL ELEMENTS OF AIRCRAFTS

Modern Creep Lifing Techniques for Gas Turbine Research

Investigations of fracture process in concrete using X-ray micro-ct

Mechanism of Building-Up Deposited Layer during Electro-Spark Deposition

INFLUENCE OF THE γ FRACTION ON THE γ/γ TOPOLOGICAL INVERSION DURING HIGH TEMPERATURE CREEP OF SINGLE CRYSTAL SUPERALLOYS

AERO 214. Introduction to Aerospace Mechanics of Materials. Lecture 2

Failure Analysis for the Economizer Tube of the Waste Heat Boiler

On the failure path in shear-tested solder joints

EFFECT Of Zr, Sn AND Al ADDITION ON MECHANICAL PROPERTIES OF

MECHANICAL PROPERTIES PROPLEM SHEET

Temperature for 1000 hours rupture life at 630 MPa ( o C) 750 Rene 104

PLASTIC DEFORMATION AND THE ONSET OF TENSILE INSTABILITY

Mechanical behavior of crystalline materials- Comprehensive Behaviour

TOPIC 2. STRUCTURE OF MATERIALS III

Influence of Post Weld Heat Treatment on the HAZ of Low Alloy Steel Weldments

Transcription:

Materials Transactions, Vol. 45, No. 6 (2004) pp. 1824 to 1828 #2004 The Japan Institute of Metals Influence of Primary and Secondary Crystallographic Orientations on Strengths of Nickel-based Superalloy Single Crystals Koji Kakehi Department of Mechanical Engineering, Tokyo Metropolitan Institute of Technology, Hino 191-0065, Japan It has been revealed that the strengths of the notched specimens were affected by the crystallographic orientation not only in the tensile direction (primary orientation) but also in the thickness direction (secondary orientation). In this study, by using single crystals of an experimental superalloy which shows distinct active slip systems, the influence of primary and secondary crystal orientation on creep and fatigue strengths of Ni-based superalloy single crystals was investigated. The influence of crystallographic orientations and plastic anisotropy on the creep and fatigue strengths of single crystals of the Ni-base superalloy was discussed on the assumption that {111}h101i and {111}h112i slip systems. {111}h112i slip is unusual slip. For a tensile stress applied close to the [001] axis, (111)[112] slip system is result of pass of intrinsicextrinsic superlattice stacking faults pair through the 0 phase. In the tensile orientation close to [011], (111)[211] slip is occurred by twinning shear through and 0 phases. In the case of creep strength, the results were in agreement with the assumption of the operation of the {111}h112i slip in the primary creep and {111}h101i slip in the secondary creep. The notched creep behavior was found to be influenced by the additional aging at 850 C for 20 h, which prohibited activity of {111}h112i slip systems. The fatigue lifetime and crack growth behavior depended on both plastic anisotropy caused by arrangement of {111}h101i slip systems and the stress state. (Received February 19, 2004; Accepted April 8, 2004) Keywords: nickel-based superalloy, single crystals, primary and secondary crystallographic orientations, creep, fatigue, heat treatment, plastic anisotropy 1. Introduction Ni-based superalloy single crystals are used for turbine blade of aircraft jet engines because of their excellent creep, stress rupture, thermo mechanical fatigue capabilities. Microstructure of a Ni-based superalloy single crystal consists of a phase and cuboidal 0 precipitates, whose interfaces are parallel to the {001} planes. A dendrite structure grows in the h001i direction in the face-centered-cubic Ni-based superalloy. This orientation provides better creep strength and a low modulus of elasticity that enhances thermal fatigue resistance. Thus, the turbine blades are designed so that their primary orientation is within 10 to 15 of the h001i axis to insure better creep strength and thermal fatigue resistance. The secondary dendrite direction (h010i direction) is usually randomly oriented with respect to the longitudinal direction of the turbine blade. The air-cooled turbine blades, which have a complicated hollow structure, are composed of sections of various thicknesses. Therefore, the mechanical properties of each blade section will depend on plastic anisotropy and the stress state as well as stress in the longitudinal direction. Fatigue crack growth rate was affected by the plastic anisotropy in the crack tip due to the geometric arrangement of the {111} slip planes. 1,2) Since a single crystal possesses the intrinsic plastic anisotropy, the strengths of single crystals are influenced by the crystallographic orientations not only in the tensile direction but also in the normal direction of the specimen. 3 5) The important point to note is that optimization of secondary crystallographic orientation (angle of the [100] orientation and airfoil mean chord line) has the potential to significantly increase a turbine blade s resistance to fatigue crack growth without additional weight or cost. 6) Although a large number of studies have been made on effect of primary orientation, little is known about that of secondary orientation. 6) In this study, by using the single crystals of the experimental superalloy which shows distinct active slip systems, 7) the influence of secondary orientation on the creep and fatigue strengths was investigated. 2. Experimental Procedures The chemical composition of the Ni-based superalloy is listed in Table 1. Single crystals of this alloy were grown from the melt by the modified Bridgman method. After the analysis of the crystallographic orientation by the back Laue reflection method, notched creep 4) and fatigue (Fig. 1) specimens were cut out from the as-grown crystals using a spark cutter. Thicknesses of the notched specimen were determined to obtain the plane stress condition. 3) Crystallographic orientations of the four kinds of specimens with Table 1 Chemical composition (mass %). Cr Mo Co W Ti Al V Ni 10.1 2.50 9.97 0.04 4.75 5.73 0.93 Bal. Fig. 1 Notched fatigue specimen (mm).

Influence of Primary and Secondary Crystallographic Orientations on Strengths of Nickel-based Superalloy Single Crystals 1825 Fig. 2 Four kinds of specimens and arrangement of octahedral slip systems; (a) orientation A, (b) orientation B, (c) orientation C and (d) orientation D. different arrangements of slip systems are shown in Fig. 2. The specimens were subjected to solution treatment at 1255 C for 10 h, and to aging treatment at 1100 C for 10 h and subsequently to an additional aging at 850 C for 20 h. After each heat treatment, the specimens were cooled in an air-blast. A single-step aging treatment at 1100 C for 10 h resulted in the clear {111}h112i slip because of numerous hyperfine secondary 0 precipitates in the matrix channel; 7) therefore, the single-step aging treatment was also employed for creep specimens. The average edge lengths were 0.40 mm for the single-aged specimen and 0.39 mm for the doubleaged specimen, respectively. Creep and fatigue rupture tests were conducted in laboratory environmental and at 700 C. Creep rupture test was carried out under a nominal stress of 820 MPa for the rectangular-cross-section specimens. In the case of the notched specimens, the stress was equally applied for the initial net cross-sectional area. The tension-zero fatigue test (the stress range of 600 MPa was loaded for the net crosssectional area) was done at a frequency of 5 Hz. 3. Experimental Results 3.1 Creep rupture test The creep properties of rectangular-cross-section specimens are shown in Table 2. The rectangular-cross-section Table 2 Creep properties of rectangular cross-section specimens (700 C, 820 MPa). Specimen Primary creep Rupture life Rupture strain (%) (h) elongation (%) ½001] single-aged 6.0 520.6 10.1 ½001] double-aged 1.5 385.1 3.85 ½011] single-aged 5.6 23.5 ½001] double-aged 4.8 10.0 Fig. 3 Influence of aging heat treatment on creep curves in four kinds of notched specimens. specimen with the [001] orientation showed large primary creep strain of 6.0% and steady-state creep. The [011] orientation exhibited appreciably shorter lives and large rupture elongation because of the absence of strain hardening. In the case of the notched creep, single-aged specimens showed distinct plastic anisotropy. 4) When the tensile direction is [001], the rupture lifetime of orientation B was seven times longer than that of orientation C. Creep curves of the notched specimens are shown in Fig. 3. In the case of specimens whose tensile orientation is [011], in spite of the poor creep strength of the rectangular-cross-section specimen (Table 2), orientation D exhibited extremely small steadystate creep rate and exceptionally long rupture time. Conversely, orientation A showed larger creep rate and shorter rupture lifetime than orientation D. The rupture lifetime of orientation D was 162 times longer than that of orientation A. In the single-aged specimens, it is obvious that the notched-tensile creep strength is influenced by the crystallographic orientations not only in the tensile direction

1826 K. Kakehi Fig. 4 but also in the thickness direction. The creep behavior was found to be influenced by the additional aging at 850 C for 20 h. As shown in Fig. 3(a), in orientation A, the single-aged specimen showed an incubation period, but the incubation period disappeared in the specimen aged at 850 C. Both specimens exhibited very short the rupture lifetime. The creep rupture lifetime was increased by the second aging at 850 C in orientation C. However, both in orientations B and D, the creep rupture lifetime was decreased by the second aging at 850 C. 3.2 Fatigue test Crystallographic orientation dependence of fatigue rupture lifetime is presented in Fig. 4. Orientation D showed the longest fatigue lifetime. Orientations B and C have same tensile [001] direction; however, orientation C showed longer fatigue lifetime than orientation B. Figure 5 showed fatigue fracture surfaces. Stage I crack and mode I-dominated stage II crack growth regions were observed. As shown in Fig. 6, as the area fraction of stage II region increased, the fatigue lifetime decreased. Stage II crack propagation took up much of the fatigue lifetime of the thin notched specimens. 4. Discussion Orientation dependence of fatigue rupture lifetime. Single-aged specimens showed distinct active {111}h112i slip systems and plastic anisotropy. 7) The creep rupture test results of single-aged specimens were in agreement with the assumption of the operation of {111}h112i slip systems during primary creep region and {111}h101i slip systems during secondary creep region. 4) The {111}h112i slip systems in four kinds of specimens are illustrated in Fig. 7. The group of slip systems that results in a contraction of the thickness of the specimen is named T group, while the group of slip systems that results in a contraction of the width of the specimen is named W group, which necessarily accompanies the contraction in the width direction and would be constrained. If a group of slip systems results in a contraction of both the thickness and width of the specimen, it is named TW group. In orientation B, even under a complex multiaxial stress state, a lateral distortion in the thickness direction is simultaneously produced with that in the width direction. Even if only one slip system operates, the contraction in the thickness direction necessarily accompanies that in the width direction, therefore, the slip systems belonging to the TW group would be constrained. Singe-aged specimen of orientation B has no unconstrained {111}h112i systems but {111}h101i slip systems belonging to the T group (Fig. 2(b)); therefore, it would rapidly enter into secondary creep region as shown in Fig. 3(b). Whereas, in orientation C, as shown in Fig. 7(c), there are two kinds of slip systems. The slip systems belonging to W group would be constrained; however, those belonging to T group would not be constrained. The poor creep resistance of orientation C (Fig. 3(c)) resulted from a combination of the free operation of two {111}h112i slip systems combined with a lack of activity on the {111}h101i slip systems which would terminate primary creep. In orientation A, none of the slip systems belonging to T group (Figs. 2(a) and 7(a)) could be constrained and the creep strengths were extremely low. The creep behavior was found to be greatly influenced by the additional aging at 850 C for 20 h. 7) In orientation A, as shown in Fig. 3(a), the single-aged specimen showed an incubation period, but the incubation period disappeared in the specimen aged additionally at 850 C. The hyperfine secondary precipitates would have retarded dislocation glide in the matrix channel, and brought about an incubation period in the single-aged specimen. However, the incubation period disappeared in the specimens aged at 850 C. It is because the matrix dislocations will glide gradually in the matrix channel, bypassing the large particles, which reprecipitate during the second aging at 850 C. The creep rupture lifetime was increased by the second aging at 850 C in orientation C. The poor creep resistance of single-aged specimen of orientation C resulted from the free operation of the two {111}h112i slip systems. As a result of the additional aging at 850 C, the hyperfine 0 precipitates coarsened and the resultant large mean distance between the coarsened and cuboidal precipitates inhibited extensive shearing of the 0 structure by the (111)[112] slip system. 7) Inhibition of operation of {111}h112i slip systems would bring about increase of creep lifetime in the double-aged specimen. Both in orientations B and D, all {111}h112i slip systems are constrained. However in these orientations, the creep rupture lives were decreased by the second aging at 850 C because the other slip systems would be activated; (1) {111}h101i slip systems which shear both and 0 phases, and (2) macroscopic cube slip by the zigzag dislocation motion in the matrix channel. 8) In orientation D, as shown in Fig. 8(b), cube slip systems belong to T group which is not constrained. In double-aged specimens, {111}h112i slip systems which show distinct plastic anisotropy were inhibited, and isotropic deformation, consisted of the dislocation motion in matrix channel and {111}h101i shear slip, would have become operative during creep. The point is that the second aging at 850 C decreased the extent of plastic anisotropy in creep test. In the fatigue test, as the area fraction of stage II region increased, fatigue lifetime increased (Fig. 6). This result indicates that stage II crack propagation would take up much of the fatigue lifetime of the thin notched specimens. The transition from stage II crack propagation on (001) plane to stage I crack propagation on {111} planes brings about increase of crack growth rate. 9,10) Telesman and Ghosn

Influence of Primary and Secondary Crystallographic Orientations on Strengths of Nickel-based Superalloy Single Crystals 1827 Fig. 5 Scanning electron fractographs showing the cleavage crystallographic fracture by slip-band decohesion and stage II crack propagation; (a) orientation B, (b) orientation C, (c) orientation D. Fig. 6 Relationship between area fraction of stable crack trace on the fracture surface and cycles to rupture. showed the relationship between crack growth and the stress intensity. 9) As the stress intensity was increased, area containing facets on {111} planes also became appearance. With a further increase in the stress intensity, the (001) fatigue failure completely disappeared, and was replaced by the {111} fatigue failure. The increase in the K resulted in an increase in the size of the {111} failure facets. In orientation B, in this study, the cleavage crystallographic-fracture surface by slip-band decohesion was observed and rupture lifetime was the shortest. The reason for the result is that it is difficult to relax stress concentration at crack tip because of arrangement of {111}h101islip systems in orientation B. 5) The secondary slip with a shear displacement component perpendicular to the crack plane can relax the normal stress of the primary slip, therefore, the difficulty of activating secondary slip in return results in large hydrostatic and normal stresses near the crack tip. 11) The combination of intense coplanar shear and large normal stresses results in easy crack propagation and low toughness. 11) However, in the orientation, under plane strain, all four slip planes were active and crack path zigzagged on two

1828 K. Kakehi Fig. 8 Arrangement of {001}h101i slip systems for two kinds of specimens. to the cracking (011) plane, there is no slip system belonging to T group, which results in cleavage crystallographicfracture surface by slip-band decohesion and short fatigue lifetime. Therefore, orientation D exhibited the largest cycles to failure among three kinds of crystallographic specimens. 5. Conclusions Fig. 7 Arrangement of {111}h112i slip systems for four kinds of specimens. distinct pairs of {111} planes. 9) The difference in fatigue failure appearance between this study and others 2,9) would be due to the stress condition. The resolved shear stress intensity parameter (Krss) was able to predict the microscopic crack path under difference stress states, and that the magnitude of Krss under the plane stress is always approximately twice that of plane strain. 9) Compared with the thick specimens, the cleavage crystallographic-fracture surface by slip-band decohesion would easily occur in the thin specimens used in this study because of the plane stress condition. In orientation C, shear symmetry between (111) and (111) planes with respect to the cracking (001) plane would be able to relax stress concentration of the crack front. As a result of stable stage-ii cracking, the fatigue lifetime was longer than that of orientation B. When the resolved shear stress is below the critical value needed for a dislocation to cut through the precipitates, the slip becomes confined in the matrix. 9) The localization of the damage to the {111} matrix channel results in a preferential failure in this area, exposing the cuboidal facets of the precipitates and creating a (001) failure appearance. Furthermore, in orientation D, in addition to shear symmetry between (111) and (111) slip planes with respect (1) Creep and fatigue strengths of the notched-tensile specimens were influenced by the crystallographic orientations not only in the tensile direction but also in the thickness direction. (2) Orientation D exhibited superior creep and fatigue strengths because both {111}h101i and {111}h112i slip systems are constrained. However operation of macroscopic cube slip decreased creep strength in this orientation. (3) Second-step aging treatment at 850 C decreased the influence of plastic anisotropy on notched creep strength. (4) The fatigue lifetime and crack growth behavior depended on both plastic anisotropy caused by arrangement of {111}h101i slip systems and the stress state. REFERENCES 1) M. B. Henderson and J. W. Martin: Acta Metall. Mater. 44 (1996) 111 126. 2) P. A. S. Reed, X. D. Wu and I. Sinclair: Metall. Mater. Trans. A, 31A (2000) 109 123. 3) K. Sugimoto, T. Sakaki, T. Horie, K. Kuramoto and O. Miyagawa: Metall. Trans. A, 16A (1985) 1457 1465. 4) K. Kakehi: Metall. Mater. Trans. A, 31A (2000) 421 430. 5) K. Kakehi: Scr. Mater. 42 (2000) 197 202. 6) N. K. Arakere and G. Swanson: Proc. of ASME TURBOEXPO 2000, May 8-11, Munich Germany, (2000) pp. 1 16. 7) K. Kakehi: Metall. Mater. Trans. A, 30A (1999) 1249 1259. 8) D. Bettge and W. Österle: Scr. Mater. 40 (1999) 389 395. 9) J. Telesman and L. J. Ghosn: Superalloys 1988, ed. by D. N. Duhl, G. Maurer, S. Antolovich, C. Lund and S. Reichman, (TMS, Warrendale, PA, 1988) pp. 615 624. 10) M. Okazaki, T. Tanabe and S. Nohmi: Metall. Trans. A 21A (1990) 2201 2208. 11) D. A. Koss and K. S. Chan: Acta Metall. 28 (1980) 1245 1252.