Method for calculating equivalent modulus of nickel-based single crystal superalloy

Abstract

The invention relates to a method for calculating equivalent modulus of a nickel-based single crystal superalloy. The method comprises the following steps of: 1, establishing a mesoscopic equivalent model, namely forming a four-phase mesoscopic equivalent inclusion model by using a mesomechanics model comprising a matrix phase, a horizontal inclusion I, a vertical inclusion II and a cross inclusion III; 2, deriving a quadrilateral Eshelby tensor, namely obtaining the quadrilateral Eshelby tensor by solving a function relational expression of an included strain field and characteristic strain according to a Stroh theory; and 3, deriving an equivalent modulus expression: after the Eshelby tensor is solved, obtaining the expression of equivalent modulus calculation according to an Eshelby-Mori-Tanaka equivalent inclusion and average field method, and calculating the equivalent modulus. According to the method, the calculation model is close to the actual nickel-based single crystal superalloy structure, the calculation precision is high, and the influence of parameters such as the shape, the volume fraction and the elastic constant difference of inclusions on the nickel-based superalloy equivalent model and related mechanical properties can be effectively analyzed.

Description

technical field [0001] The invention belongs to the technical field of mechanical behavior research of nickel-based single-crystal superalloys, and in particular relates to a method for calculating the equivalent modulus of nickel-based single-crystal superalloys based on Eshelby's equivalent inclusion theory. Background technique [0002] Nickel-based single crystal superalloys are widely used as blade materials for aero-engines and industrial gas turbines because of their excellent comprehensive properties such as creep, fatigue, oxidation and corrosion resistance. As a key high-temperature hot-end component material, it is subject to complex loads, high temperature and high pressure during service, and is prone to creep and fatigue failure. With the development of my country's aviation industry and the increasing demand for aerospace exploration and research, it is necessary to study the mechanical behavior of nickel-based single crystal superalloys. [0003] Nickel-base...

AI Technical Summary

Problems solved by technology

Due to the complex cubic structure of the superalloy γ and γ' phases and the high volume fraction of γ', there are few theoretical models and related calculation methods for solving the equivalent modulus of nickel-based single crystal superalloys.

In the past, mesomechanical models often regarded γ' precipitates as ellipsoidal inclusions, but the shape of γ' precipitates in actual materials is cubic, and the volume fraction is as high as 70%, which leads to inaccurate calculation results

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