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The Minimum Stable Pressure and Geological Significants of Supersilic Garnet in Continental Felsic Rocks: Constraints from HT-HP Experiments 被引量:2
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作者 LIU Liang CHEN Danling +4 位作者 ZHANG Junfeng KANG Lei YANG Wenqiang LIAO Xiaoying MA Tuo 《Acta Geologica Sinica(English Edition)》 SCIE CAS CSCD 2020年第S01期32-33,共2页
A lot of previous experimental studies on ultramafic rocks(SiO2 unsaturated system)(Ringwood and Major, 1971;Irifune et al., 1986;Gasparik, 1989;Ono and Yasuda, 1996) have demonstrated that characteristics of Si-rich ... A lot of previous experimental studies on ultramafic rocks(SiO2 unsaturated system)(Ringwood and Major, 1971;Irifune et al., 1986;Gasparik, 1989;Ono and Yasuda, 1996) have demonstrated that characteristics of Si-rich and Al-deficient in garnet are resulted from coupled substitution of SiⅥ+MⅥ=AlⅥ+AlⅥ and SiⅥ+NaⅧ=AlⅥ+MⅧ(M=Mg, Fe, Ca) at ultrahigh pressures(UHP)(>5 GPa). The degree of substitution will be enhanced by increasing pressure which has a positive correlation with the content of SiⅥ, but a negative correlation with the content of AlⅥ in supersilic garnet. These experimental results established a theoretical foundation for further understanding the formation mechanism of the exsolution of pyroxene in garnet observed in deep mantle xenoliths and some ultrahigh pressure rocks, and also for estimating the pressure conditions of the formation of supersilic garnet before exsolution(Haggerty and Sautter, 1990;Sautter et al., 1991;van Roermund et al., 1998;Ye et al., 2000). Although some experimental studies on SiO2 saturated system have been reported(Irifune et al., 1994;Ono., 1998;Dobrazhinetskya and Green.,2007;Wu et al., 2009), the stability conditions of supersilic garnet are still lack of unified understanding. Therefore, HP-HT experiments were carried out on felsic rocks under conditions of 6–12 GPa and 1000℃–1400℃. Combined with previous experimental data, we try to figure out the minimum stable pressure and geological significants of supersilic garnet in SiO2 saturated system. Our experimental results from SiO2 saturated system show the minimum stable pressure of supersilic garnet should be ≥10 GP of stishovite stability field. These results are similar as that from experiments using starting composition similar to average upper continental crust reported by Irifune et al(1994) who yielded that garnet gradually became supersilic and Al-deficient as pressures increased above 10 GPa, especially in a pressure interval between 13 and 18 GPa. Moreover, experiments with different starting materials(Ono, 1998;Dobrazhinetskya and Green, 2007;Wu et al. 2009) also indicate the stable pressure condition of supersilic garnet is mainly ≥9 –10 GPa in SiO2 saturated system if data of small-size grains at low temperature are ignored due to measuring errors. Thus, it can be concluded that the minimum stable pressure of supersilic garnet in SiO2 saturated system is distinctly different from that in SiO2 unsaturated ultramafic rock system. The minimum pressure of the former is ≥9–10 GPa of stishovite stability field, while that of the latter is >5 GPa. Therefore, whether independent SiO2 phase exist or rock system is SiO2 saturated must be taken into considered when estimating the peak pressure of exsolutions in supersilic garnet in UHP rocks. Furthermore, pressure of >5 GPa directly estimated by supersilic garnet based on conclusion from SiO2 unsaturation system rather than SiO2 saturation in previous sdudies may have been underestimated and need to be re-estimated. Supersilic garnets have been recognized by interior exsolutions of clinopyroxene in garnet pyroxene from Yinggelisayi South Altyn(Liu et al., 2005), and exsolutions of rodlike quartz+rutile in felsic gneiss from Songshugou North Qinling(Liu et al., 2003). According to the experimental results from SiO2 unsaturated system, the peak metamorphic pressure of the both SiO2 saturated rocks have been estimated to be >7 Gpa and >5 Gpa, respectively. However, combined with the new experimental results above, we re-estimated that the peak metamorphic pressure of these SiO2 saturated rocks should be≥9–10 GPa at least, implying an ultra-deep subduction to mantle depth of stishovite stability field. This research, together with previous findings(Liu et al., 2007, 2018), shows that continental subduction to mantle depth(300 km) of stishovite stability field and then exhumation to the surface is obviously more common than previously thought, and the rock types are also diverse. At the same time, it provides a new indicator and thought for recognizing the subduction to the mantle depth of stishovite stability field in UHP metamorphic belt. 展开更多
关键词 supersilic garnet the minimum stable pressure SiO2 saturated system the mantle depth of stishovite stability field ultrahigh pressure rocks
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Determination of the Minimum Wave Speed for the Modelling of Ventilated Cavitation
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作者 陈婷 张宇宁 杜小泽 《Chinese Physics Letters》 SCIE CAS CSCD 2016年第11期78-81,共4页
Ventilated cavitation plays an important role on the drag reduction of underwater vehicles and surface ships. For the modelling of ventilated cavitation, the minimum speed of the pressure wave is a crucial parameter f... Ventilated cavitation plays an important role on the drag reduction of underwater vehicles and surface ships. For the modelling of ventilated cavitation, the minimum speed of the pressure wave is a crucial parameter for the closure of the pressure-density coupling relationship. In this study, the minimum wave speed is determined based on a theoretical model coupling the wave equation and the bubble interface motion equation. The influences of several paramount parameters (e.g., frequency, bubble radius and void fraction) on the minimum wave speed are quantitatively demonstrated and discussed. Compared with the minimum wave speed in the traditional cavitation, values for the ventilated cavitation are much higher. The physical mechanisms for the above difference are briefly discussed with the suggestions on the usage of the present findings. 展开更多
关键词 of IS for Determination of the minimum Wave Speed for the Modelling of Ventilated Cavitation in
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Determination of the Minimum Testing Time for Wireline Formation Testing with the Finite Element Method
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作者 Hu Falong Xiao Lizhi +1 位作者 Zhang Yuanzhong Wang Chengwei 《Petroleum Science》 SCIE CAS CSCD 2006年第1期39-44,共6页
The wireline formation tester (WFT) is an important tool for formation evaluation, such as calculating the formation pressure and permeability, identifying the fluid type, and determining the interface between oil a... The wireline formation tester (WFT) is an important tool for formation evaluation, such as calculating the formation pressure and permeability, identifying the fluid type, and determining the interface between oil and water. However, in a low porosity and low permeability formation, the supercharge pressure effect exists, since the mudcake has a poor sealing ability. The mudcake cannot isolate the hydrostatic pressure of the formation around the borehole and the mud seeps into the formations, leading to inaccurate formation pressure measurement. At the same time, the tool can be easily stuck in the low porosity/low permeability formation due to the long waiting and testing time. We present a method for determining the minimum testing time for the wireline formation tester. The pressure distribution of the mudcake and the formation were respectively calculated with the finite element method (FEM). The radius of the influence of mud pressure was also computed, and the minimum testing time in low porosity/low permeability formations was determined within a range of values for different formation permeabilities. The determination of the minimum testing time ensures an accurate formation pressure measurement and minimizes possible accidents due to long waiting and testing time. 展开更多
关键词 Wireline formation tester the minimum testing time the finite element method
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ON THE REGULARITY OF THE MINIMUM SOLUTION OF THE RESTRAINED VARIATIONAL PROBLEMS
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作者 沈尧天 郭信康 《Acta Mathematica Scientia》 SCIE CSCD 1993年第3期266-272,共7页
This paper is concerned with the regularity of minimum solution u of the following functional L(u) = integral(Omega) a alpha(beta)(x)g(ij)(u)D alpha u(i)D(beta)upsilon(i)dx on the restraint E = {u is an element of W-0... This paper is concerned with the regularity of minimum solution u of the following functional L(u) = integral(Omega) a alpha(beta)(x)g(ij)(u)D alpha u(i)D(beta)upsilon(i)dx on the restraint E = {u is an element of W-0(1,2) (Omega, R(N))\parallel to u parallel to L(D) = 1}. Under appropriate conditions, the bounded minimum solution u of the above functional is proved to be nothing but Holder continuous. 展开更多
关键词 HOLDER ON the REGULARITY OF the minimum SOLUTION OF the RESTRAINED VARIATIONAL PROBLEMS
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ON THE MINIMUM COVERING NUMBER FORMULA OF GRAPHS
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作者 Hou Yaoping (Dept.of Math.,University of Science and Technology of China,Hefei 230026,PRC) 《Numerical Mathematics A Journal of Chinese Universities(English Series)》 SCIE 2000年第S1期61-64,共4页
Throughout this paper,D=(d<sub>1</sub>,d<sub>2</sub>,...,d<sub>n</sub>)denote a sequence of nonnegative inte-gers.We let(?)(D)denote the class of all graphs with degree sequen... Throughout this paper,D=(d<sub>1</sub>,d<sub>2</sub>,...,d<sub>n</sub>)denote a sequence of nonnegative inte-gers.We let(?)(D)denote the class of all graphs with degree sequence D,or equally,theclass of all symmetric(0,1)--matrices with trace 0 and row sum vector D.The structure matrix S=S(D) of D is a matrix of order n+1,whose entries 展开更多
关键词 In ON the minimum COVERING NUMBER FORMULA OF GRAPHS
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Impacts of the Minimum Purchase Price Policy for Grain on the Planting Area of Rice in Hubei Province Based on a Mixed Linear Model
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作者 Xiaoyin WANG Jun WANG 《Asian Agricultural Research》 2016年第8期12-17,共6页
Impacts of the minimum purchase price policy for grain on the planting area of rice in Hubei Province were analyzed based on a mixed linear model.After the indicator system containing the minimum purchase price policy... Impacts of the minimum purchase price policy for grain on the planting area of rice in Hubei Province were analyzed based on a mixed linear model.After the indicator system containing the minimum purchase price policy and other factors influencing the planting area of rice was constructed,principal component analysis of the system was conducted,and then a mixed linear model where the planting area of rice was as the dependent variable was established.The results show that after the exclusion of the interference from other factors,the minimum purchase price policy for grain had a positive impact on the planting area of rice in Hubei Province.That is,the minimum purchase price policy significantly stimulated the growth of rice planting area in Hubei Province. 展开更多
关键词 the minimum purchase price Rice in Hubei Province Planting area Principal component analysis Mixed linear model
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On the Distribution of the Minimum or Maximum of a Random Number of i.i.d. Lifetime Random Variables
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作者 Francisco Louzada Estela MPBereta Maria APFranco 《Applied Mathematics》 2012年第4期350-353,共4页
Statisticians are usually concerned with the proposition of new distributions. In this paper we point out that a unified and concise derivation procedure of the distribution of the minimum or maximum of a random numbe... Statisticians are usually concerned with the proposition of new distributions. In this paper we point out that a unified and concise derivation procedure of the distribution of the minimum or maximum of a random number N of indepen-dent and identically distributed continuous random variables Yi,{i = 1,2,…,N} is obtained if one compounds the probability generating function of N with the survival or the distribution func-tion of Yi. Expressions are then derived in closed form for the density, hazard and quantile func-tions of the minimum or maximum. The methodology is illustrated with examples of the distributions proposed by Adamidis and Loukas (1998), Kus (2007), Tahmasbi and Rezaei (2008), Barreto-Souza and Cribari-Neto (2009), Cancho, Louzada, and Barriga (2011) and Louzada, Roman and Cancho (2011). 展开更多
关键词 Compounding Distributions Distribution of the Maximum Distribution of the minimum Probability Generating Function
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The Final Safety Net A Framework for a System to Ensure the Minimum Standard of Living for Urban Residents in China
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作者 唐钧 《Social Sciences in China》 1999年第2期65-75,192,共12页
关键词 the Final Safety Net A Framework for a system to Ensure the minimum Standard of Living for Urban Residents in China
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Some Properties of the Solution of the Extended Vertical Tensor Complementarity Problem
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作者 Li-Ming Li Shi-Liang Wu Cui-Xia Li 《Journal of the Operations Research Society of China》 2025年第4期946-965,共20页
In this paper,we introduce the extended vertical tensor complementarity problem and investigate the existence and uniqueness of its solution.We introduce several sets of special tensors and demonstrate their propertie... In this paper,we introduce the extended vertical tensor complementarity problem and investigate the existence and uniqueness of its solution.We introduce several sets of special tensors and demonstrate their properties.We leverage the structure of tensors to obtain some properties of the solution of the extended vertical tensor complementarity problem.Furthermore,we use degree theory and the equivalent form of the minimum function to establish sufficient conditions for the existence and uniqueness of the solution of the extended vertical tensor complementarity problem,respectively. 展开更多
关键词 the extended vertical tensor complementarity problem Special tensor sets the degree theory the minimum function
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SOLUTION OF GENERALIZED COORDINATE FOR WARPING FOR NATURALLY CURVED AND TWISTED BEAMS 被引量:1
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作者 虞爱民 易明 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2004年第10期1166-1175,共10页
A theoretical method for static analysis of naturally curved and twisted beams under complicated loads was presented, with special attention devoted to the solving process of governing equations which take into accoun... A theoretical method for static analysis of naturally curved and twisted beams under complicated loads was presented, with special attention devoted to the solving process of governing equations which take into account the effects of torsion-related warping as well as transverse shear deformations. These governing equations, in special cases, can be readily solved and yield the solutions to the problem. The solutions can be used for the analysis of the beams, including the calculation of various internal forces, stresses, strains and displacements. The present theory will be used to investigate the stresses and displacements of a plane curved beam subjected to the action of horizontal and vertical distributed loads. The numerical results obtained by the present theory are found to be in very good agreement with the results of the FEM results. Besides, the present theory is not limited to the beams with a double symmetric cross-section, it can also be extended to those with arbitrary cross-sectional shape. 展开更多
关键词 naturally curved and twisted beam St. Venant torsional warping function generalized coordinate for warping the minimum potential energy principal variational equation
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Critical Conditions for Left-Turn Lane's Stop Line Backwards Setting Under Exclusive Left-Turn Phase 被引量:1
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作者 魏福禄 曲昭伟 +2 位作者 陈永恒 尉明丽 李英帅 《Journal of Shanghai Jiaotong university(Science)》 EI 2015年第1期124-128,共5页
Aiming at the problem that the vehicles always turn left in advance which causes heavy conflicts in the intersection and effected traffic efficiency,the solution of the left-turn lane’s stop line backwards setting wa... Aiming at the problem that the vehicles always turn left in advance which causes heavy conflicts in the intersection and effected traffic efficiency,the solution of the left-turn lane’s stop line backwards setting was proposed,and the critical conditions on the stop line’s setting were studied.Firstly,we studied the characteristics of trajectories distribution in the release process of turning left in advance vehicles.Based on that,we proposed to move the stop line backwards to solve the problem of turning left in advance.Considering the intersection’s geometric features and the vehicle operation features,the geometric critical condition was given for setting the position of left-turn lane’s stop line.And then the model of left-turn vehicles’queuing length was established based on queuing theory and traffic wave theory.By using queuing length model,the flow restrictions of stop line backwards could be found.Assuming left-turn vehicles’arrival rate is stable in a certain period of time,the minimum green time and the maximum red time of left-turn phase were given after the stop line was set up.According to the changes of the vehicles’turning paths,the shortest yellow setting recommendation was given.Finally,the application of the critical limits used in stop line backwards setting was demonstrated.The research result could provide a theoretical basis for traffic signs and markings’setting and perfect the relevant laws and regulations. 展开更多
关键词 release trajectory left-turn lane stop line backwards setting the minimum green time
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A NEW LABELING SEARCH ALGORITHM FOR BIT-INTERLEAVED CODED MODULATION WITH ITERATIVE DECODING
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作者 Zou Xuelan Feng Guangzeng 《Journal of Electronics(China)》 2008年第1期59-64,共6页
Bit-Interleaved Coded Modulation with Iterative Decoding (BICM-ID) is a bandwidth ef- ficient transmission, where the bit error rate is reduced through the iterative information exchange between the inner demapper and... Bit-Interleaved Coded Modulation with Iterative Decoding (BICM-ID) is a bandwidth ef- ficient transmission, where the bit error rate is reduced through the iterative information exchange between the inner demapper and the outer decoder. The choice of the symbol mapping is the crucial design parameter. This paper indicates that the Harmonic Mean of the Minimum Squared Euclidean (HMMSE) distance is the best criterion for the mapping design. Based on the design criterion of the HMMSE distance, a new search algorithm to find the optimized labeling maps for BICM-ID system is proposed. Numerical results and performance comparison show that the new labeling search method has a low complexity and outperforms other labeling schemes using other design criterion in BICM-ID system, therefore it is an optimized labeling method. 展开更多
关键词 Symbol labeling Bit-Interleaved Coded Modulation (BICM) Iterative Decoding (ID) Harmonic Mean of the minimum Squared Euclidean (HMMSE) distance
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A Location-Based Clustering Topology Control Algorithm in WSN
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作者 ZHAI Pu ZHANG Deyu LIU Siwei 《沈阳理工大学学报》 CAS 2014年第4期81-86,共6页
Aiming at the existing problems in Leach algorithm,which has short network survival time and high energy consumption,a new location-based clustering topology control algorithm is proposed.Based on Leach algorithm,impr... Aiming at the existing problems in Leach algorithm,which has short network survival time and high energy consumption,a new location-based clustering topology control algorithm is proposed.Based on Leach algorithm,improvements have been done.Firstly,when selecting cluster head,node degree,remaining energy,and the number of being cluster head,these three elements are taken into consideration.Secondly,by running the minimum spanning tree algorithm,the tree routing is constructed.Finally,selecting the next hop between clusters is done by MTE algorithm.Simulation results show that the presented control algorithm has not only a better adaptability in the large-scale networks,but also a bigger improvement in terms of some indicators of performance such as network lifetime and network energy consumption. 展开更多
关键词 Wireless Sensor Network location information CLUSTERING the minimum spanning tree topology control
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Will Freezing the Minimum Wage Help?
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《Beijing Review》 2008年第50期46-47,共2页
Plagued by the recent global financial turmoil,some Chinese enterprises,particu-larly labor-intensive small and medium-sized ones,are in difficulty,and this
关键词 Will Freezing the minimum Wage Help
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Numbers
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《ChinAfrica》 2012年第11期8-9,共2页
80,000+Physical rehabilitation institutions for handicapped people in China as of the end of 2011
关键词 Should the minimum Legal Age for Marriage Be 18 Years Old BE
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Efficient Parallel Algorithms for Some Graph Theory Problems
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作者 马军 马绍汉 《Journal of Computer Science & Technology》 SCIE EI CSCD 1993年第4期362-366,共5页
In this paper,a sequential algorithm computing the all vertex pair distance matrix D and the path matrix Pis given.On a PRAM EREW model with p,1≤p≤n^2,processors,a parallel version of the sequential algorithm is sho... In this paper,a sequential algorithm computing the all vertex pair distance matrix D and the path matrix Pis given.On a PRAM EREW model with p,1≤p≤n^2,processors,a parallel version of the sequential algorithm is shown.This method can also be used to get a parallel algorithm to compute transitive closure arrayof an undirected graph.The time complexify of the parallel algorithm is O(n^3/p).If D,P andare known,it is shown that the problems to find all connected components, to compute the diameter of an undirected graph,to determine the center of a directed graph and to search for a directed cycle with the minimum(maximum)length in a directed graph can all be solved in O(n^2/p^+ logp)time. 展开更多
关键词 Parallel graph algorithms shortest paths transitive closure connected components diameter of graph center of graph directed cycle with the minimum (maximum)length parallel random access machines (PRAMs)
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ANALYSIS OF MINIMUM NUMBERS OF LINEARLY ACTIVE S-BOXES OF A CLASS OF GENERALIZED FEISTEL BLOCK CIPHERS
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作者 Xiaopei GUO Kejian XU +1 位作者 Tongsen SUN Xiubin FAN 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2012年第5期1014-1031,共18页
For a class of generalized Feistel block ciphers, an explicit formula for the minimum numbers of linearly active S-boxes of any round r is presented.
关键词 Block cipher generalized Feistel structure linear spread value the minimum number oflinearly active S-boxes.
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A modern and robust methodology for modeling anisotropic creep characteristics of Ni-based DS and SC superalloys 被引量:1
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作者 HUANG Jia SHI DuoQi YANG XiaoGuang 《Science China(Technological Sciences)》 SCIE EI CAS 2014年第9期1802-1815,共14页
According to more recent work, the Wilshire equations have shown good prediction accuracy in a wide range of materials and stress-temperature conditions, particularly in extrapolation of short term results to long ter... According to more recent work, the Wilshire equations have shown good prediction accuracy in a wide range of materials and stress-temperature conditions, particularly in extrapolation of short term results to long term predictions. In the current paper, this methodology was further developed for modeling anisotropic creep characteristics (i.e. minimum creep strain /~n, stress rupture life q and time to a specified strain t~) of four typical Ni-based directionally solidified (DS) and single crystal (SC) superalloys, where a simple orientation factor related to the ultimate tensile strength (UTS) was introduced. The application of these simplistic approaches showed that the anisotropic creep characteristics in a wide range of stress-temperature conditions can be accurately simulated. Meanwhile, during the application of the modified Wilshire equations, break points occurring at the specified stress levels agree well with the transition of creep deformation mechanisms occurring in different stress regions, which provides confidence for using this method. 展开更多
关键词 stress rupture life ANISOTROPY the minimum creep strain rate Ni-based superalloy prediction methodology
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