CN110751991B - Method for predicting dissolution fraction of delta phase of nickel-based alloy containing Nb under time-varying working condition - Google Patents
Method for predicting dissolution fraction of delta phase of nickel-based alloy containing Nb under time-varying working condition Download PDFInfo
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- CN110751991B CN110751991B CN201911138826.3A CN201911138826A CN110751991B CN 110751991 B CN110751991 B CN 110751991B CN 201911138826 A CN201911138826 A CN 201911138826A CN 110751991 B CN110751991 B CN 110751991B
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Abstract
The invention discloses a method for predicting a dissolution fraction of a nickel-based alloy delta phase containing Nb under a time-varying working condition. The method comprises the following steps: (1) obtaining a deformed Nb-containing nickel-based alloy sample by means of an isothermal hot compression experiment; (2) counting the residual content of the delta phase in the Nb-containing nickel-based alloy deformation sample under different deformation process parameters; (3) establishing a mathematical model for predicting the delta phase dynamic dissolution fraction of the Nb-containing nickel-based alloy in the deformation process of the strain rate; (4) and the prediction of the Nb-containing nickel-based alloy delta phase dynamic dissolution fraction under the working condition of the allergic rate is realized by a numerical difference and iterative accumulation method. The method can accurately predict the delta phase dynamic dissolution fraction of the Nb-containing nickel-based alloy in thermal deformation under the working condition of the strain rate, and provides a technical support for reasonably formulating the thermal processing process of the Nb-containing nickel-based alloy.
Description
Technical Field
The invention belongs to the technical field of forging, and relates to a method for predicting a dissolution fraction of a delta phase of a nickel-based alloy containing Nb under a time-varying working condition.
Background
The Nb-containing nickel-based alloy has excellent high-temperature mechanical property, fatigue resistance and corrosion resistance, and is widely applied to the fields of aerospace, transportation, nuclear industry and the like. In the thermal deformation, the evolution of the microstructure of the Nb-containing nickel-based alloy is obviously influenced by the deformation history and the process parameters, and further the performance of the Nb-containing nickel-based alloy structural member is greatly influenced. The delta phase is a typical precipitated phase in the Nb-containing nickel-based alloy, and the lattice relationship with the matrix is semi-coherent or non-coherent; in thermal deformation of the Nb-containing nickel-based alloy, the delta phase can obviously stimulate dynamic recrystallization nucleation and inhibit the growth of crystal grains, thereby achieving the effect of refining the crystal grains. A part of delta phase is properly reserved in the Nb-containing nickel-based alloy structural member, so that the path of crack propagation and the consumed deformation energy are increased, the crack propagation is inhibited, and the creep property is promoted. However, excessive delta phase will cause local stress concentration in the Nb-containing nickel-base alloy during hot deformation, resulting in a decrease in the performance of the Nb-containing nickel-base alloy component. Therefore, quantitative prediction of the dynamic dissolution behavior of the delta phase in the thermal deformation of the Nb-containing nickel-based alloy is of great significance.
Currently, the research on the dissolution behavior of the delta phase in Nb-containing nickel-base alloys is mainly focused on two aspects: static dissolution behavior in the state without external force action and dynamic dissolution behavior in constant strain rate thermal deformation. The delta phase static dissolution process mainly comprises the delta phase decomposition and diffusion process, and the process is influenced by the holding temperature and holding time. In thermal deformation, dislocations are packed around a delta phase to form a high-density dislocation network/cell, so that local stress distribution on the surface of the delta phase is uneven, and further bending and twisting phenomena occur; meanwhile, the dislocation can become a rapid diffusion channel of the niobium element, and rapid dissolution of the delta phase is aggravated. The dynamic dissolution dynamics of the delta phase in the existing thermal deformation Nb-containing nickel-based alloy can be predicted only according to the dynamic dissolution law of the thermal deformation delta phase under the working condition of constant strain rate, and the dynamic dissolution dynamics of the delta phase in the Nb-containing nickel-based alloy under the working condition of non-constant strain rate is difficult to predict. Therefore, the invention provides a method for predicting the delta phase dynamic dissolution volume fraction in the Nb-containing nickel-based alloy with the allergic rate hot deformation by fully considering the deformation history in the allergic rate hot deformation and the influence of deformation process parameters on the delta phase dynamic dissolution volume fraction. The invention and the popularization and the application of the method can effectively predict and control the residual content of the delta phase in the Nb-containing nickel-based alloy, and provide a technical support for the formulation of the die forging process of the Nb-containing nickel-based alloy.
Disclosure of Invention
The invention aims to provide a method for predicting the dissolution fraction of a delta phase of a nickel-base alloy containing Nb under a time-varying working condition, which solves the problems that the application range of the existing prediction method is narrow, the requirements of engineering application are difficult to meet, and provides a technical support for reasonably formulating the hot working process of the nickel-base alloy containing Nb.
The method comprises the following specific steps:
step 1: obtaining a true stress-true strain curve of the Nb-containing nickel-based alloy under different deformation process parameters by means of a high-temperature compression deformation experiment, and reserving a microstructure after thermal deformation through water quenching;
step 2: observing and analyzing the microstructure of the Nb-containing nickel-based alloy after high-temperature deformation, and counting the residual content of a delta phase in the Nb-containing nickel-based alloy under different deformation working conditions;
and step 3: the model for predicting the dynamic dissolution dynamics of the delta phase in the Nb-containing nickel-based alloy in the high-temperature deformation process of the strain rate is established as follows:
in the formula: x δ,N Is the dissolution volume fraction of delta phase in the Nb-containing nickel-base alloy after the deformation is finished, X δ Is the dissolution volume fraction of delta phase in the nickel-base alloy containing Nb in the deformation process, epsilon is the true strain i And ε i-1 True strains, k, corresponding to the end of the i-th and i-1-th deformation phases, respectively δ 、m δ 、n k 、n m 、 Q δ And Q' δ As material parameters, R is the universal gas constant (8.314J. mol) -1 ·K -1 );
And 4, step 4: and predicting the dynamic dissolution volume fraction of the delta phase in the high-temperature deformation process of the Nb-containing nickel-based alloy with the strain rate.
Drawings
FIG. 1 is a gold phase diagram of an initial structure of a GH4169 alloy sample;
FIG. 2 shows the high temperature rheological curve of GH4169 alloy under typical allergic rate conditions;
FIG. 3 is a gold phase diagram of the residual delta phase of GH4169 alloy after high temperature deformation under typical strain rate conditions: (a) t is 980 c,ε I =0.36;(b)T=980℃,ε I =0.36;
FIG. 4 delta phase dynamic dissolution volume fraction of a typical allergic rate high temperature deformation process GH4169 alloy;
FIG. 5 is a graph comparing the predicted results of the delta phase dynamic dissolution volume fraction of GH4169 alloy after high temperature deformation with experimental results under the working condition of variable strain rate;
Detailed Description
The invention is described in detail below with reference to the drawings and the specific embodiments.
The invention relates to a method for predicting the dissolution fraction of a delta phase of a nickel-based alloy containing Nb under a time-varying working condition. The details of the practice of the present invention will be described in detail below, taking as an example the prediction of the delta phase dynamic dissolution fraction in a typical Nb-containing nickel-base alloy (GH4169 alloy) at a strain rate hot deformation, the method comprising:
step 1: an allergic transformation rate high-temperature compression experiment is carried out on the GH4169 alloy, a true stress-true strain curve of the sample under different deformation process parameters is obtained, and a microstructure after thermal deformation is retained by water quenching. The specific parameters of the high-temperature compression experiment are as follows: the deformation temperature is 900-1050 ℃, and the strain rate is 0.0001s -1 ~50s -1 The deformation degree is 30-70%.
Step 2: metallographic pictures of residual delta phase in the GH4169 alloy under different deformation conditions are observed and analyzed through a metallographic microscope. And (2) cutting the GH4169 alloy sample subjected to high-temperature compression in the step (1) from the center along the compression direction, polishing, corroding the section, washing and drying, and then obtaining the distribution rule of the residual delta phase of the GH4169 alloy under different deformation process parameters through a metallographic microscope.
And 3, step 3: the volume fraction (V) of the residual delta phase in the GH4169 alloy under different deformation process parameters is counted by Image-Pro Plus software D ) Then, obtaining the delta phase dynamic dissolution volume fraction of the GH4169 alloy under the corresponding deformation condition:
in the formula: v 0 And V D Volume fractions of the delta phase before and after hot deformation of the GH4169 alloy, respectively.
Typical rate of transformation high temperature deformation process the delta phase dynamic dissolution volume fraction of GH4169 alloy is shown in figure 4.
And 4, step 4: establishing dynamic dissolution volume fraction of delta phase in high-temperature deformation process for predicting strain rate of GH4169 alloyThe mathematical model of (2); according to GH4169 alloy high-temperature rheological curve and the residual content of delta phase under different deformation process parameters, fitting and predicting the material parameters (k) in the model by a least square method and a regression method δ 、m δ 、n k 、n m 、Q δ And Q' δ ) The value of (c). Finally, the dynamic dissolution kinetic equation of the delta phase in the high-temperature deformation process of the Nb-containing nickel-based alloy with the strain rate is as follows:
and 5: predicting the dynamic dissolution volume fraction of delta phase during high temperature deformation at strain rate of GH4169 alloy.
In order to verify the established prediction model of the delta phase dynamic dissolution volume fraction in the GH4169 alloy strain rate high-temperature deformation process, the delta phase dynamic dissolution volume fraction experimental value and the predicted value are compared, as shown in FIG. 5. The result shows that the experimental value and the predicted value of the delta phase dynamic dissolution volume fraction mathematical model established by the method provided by the invention are well matched in the high-temperature deformation process of the allergic variable rate. The method can accurately predict the delta phase dynamic dissolution volume fraction in the Nb-containing nickel-based alloy in the high-temperature deformation process at the allergic rate, and provides technical support for effectively controlling the residual content of the delta phase in the Nb-containing nickel-based alloy and establishing the die forging forming process of the Nb-containing nickel-based alloy.
The present invention is described above with reference to the accompanying drawings, but the present invention is not limited to the above specific embodiments, and the above specific embodiments are only illustrative and not restrictive, and any invention not exceeding the claims of the present invention is within the protection of the present invention.
Claims (1)
1. A method for predicting the dissolution fraction of a delta phase of a nickel-based alloy containing Nb under a time-varying working condition is characterized by comprising the following steps: the method fully considers the influence of process parameters in the deformation process on the delta phase dynamic dissolution behavior in the Nb-containing nickel-based alloy, establishes a mathematical model capable of predicting the dissolution volume fraction of the delta phase of the Nb-containing nickel-based alloy in thermal deformation under the working condition of the allergic rate, and comprises the following steps of:
step 1: at a deformation temperature of 900-1050 ℃ and a strain rate of 0.0001s in each deformation stage -1 ~50s -1 Under the condition, carrying out isothermal hot compression experiment on the Nb-containing nickel-based alloy to obtain a high-temperature rheological curve of the Nb-containing nickel-based alloy and a deformed sample;
step 2: the microstructure of the deformation sample under different process parameter conditions is observed through experiments, the residual content of the delta phase in the nickel-based alloy containing Nb under different process parameter conditions is counted, and then the dissolution volume fraction of the delta phase is obtained;
and 3, step 3: establishing a mathematical model for predicting the dissolution volume fraction of the delta phase of the Nb-containing nickel-based alloy under the working condition of the allergic rate, wherein the model comprises the following steps:
in formula (1): x δ,N Is the dissolution volume fraction of delta phase in the Nb-containing nickel-base alloy after the deformation is finished, X δ Is the dissolution volume fraction of delta phase in the nickel-base alloy containing Nb in the deformation process, epsilon is the true strain i And ε i-1 True strains, k, corresponding to the end of the i-th and i-1-th deformation phases, respectively δ 、m δ 、n k 、n m 、Q δ And Q δ ' is a material parameter, R is a universal gas constant;
and 4, step 4: substituting the experimental data measured in the step 2 into the model formula (1) established in the step 3, and determining k in the model by regression processing δ 、m δ 、n k 、n m 、Q δ And Q δ ' material parameters; based on a numerical difference method, an iterative accumulation algorithm program is compiled and simulation software is embedded to realize the updating of deformation process parameters and material parameters in any iterative step, and then the dissolution volume fraction of the delta phase in the Nb-containing nickel-based alloy in thermal deformation under the working condition of the variable rate of strain is predicted.
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JP2003186926A (en) * | 2001-12-18 | 2003-07-04 | Ricoh Co Ltd | Three-dimensional shape processor and three-dimensional shape processing method |
CN101281116A (en) * | 2008-05-29 | 2008-10-08 | 上海交通大学 | Wide span rail traffic bridge damnification detecting system |
CN107326314A (en) * | 2017-07-05 | 2017-11-07 | 中南大学 | A kind of method for predicting δ phase resolving in dynamic state volume fractions in nickel-base alloy containing niobium |
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CN106053754B (en) * | 2016-07-06 | 2017-11-14 | 中南大学 | A kind of method that high-alloying MATERIALS ' DYNAMIC recrystallizes fraction under variable working condition during prediction |
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CN107326314A (en) * | 2017-07-05 | 2017-11-07 | 中南大学 | A kind of method for predicting δ phase resolving in dynamic state volume fractions in nickel-base alloy containing niobium |
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