Dependence-based multi-objective optimization method of integrated phenomenological constitutive model

Abstract

The invention discloses a dependence-based multi-objective optimization method of an integrated phenomenological constitutive model and belongs to the technical field of material mechanics properties,machine manufacturing and numerical analysis. The multi-objective optimization method is constructed by introducing three kinds of weighting factors in consideration of measuring errors and the sameoptimization opportunity of data point number or constitutive parameter number and quasi-static and dynamic states under different loading conditions, a non-coupled strain hardening function under quasi-static deformation, a thermal softening function under quasi-static deformation, a strain hardening function of coupling temperature under quasi-static deformation, a non-coupled strain rate sensitive function under quasi-static and dynamic deformation and a strain rate sensitive function of coupling temperature under quasi-static and dynamic deformation are sequentially determined according tooptimization quality criteria, and the basic form of the phenomenological constitutive model is determined; the specific form of the determined constitutive model is fit according to test data underall loading conditions with the multi-weight and multi-objective optimization method.

Description

technical field [0001] The invention relates to a dependency-based integrated phenomenological constitutive multi-objective optimization method, which belongs to the technical neighborhood of material mechanical performance characterization, mechanical manufacturing and numerical analysis. Background technique [0002] During industrial forming and fabrication, materials undergo complex strain, strain rate, and temperature histories. A good understanding of material flow behavior is important for material forming and manufacturing process planning. Therefore, in order to describe the flow law of materials during deformation, it is necessary to develop and establish a constitutive model, which reflects the mechanical behavior of materials under different deformation rates and temperature loading conditions. The constitutive equation is a mathematical model that expresses the relationship between material flow stress and plastic strain, strain rate and temperature. It describ...

AI Technical Summary

Problems solved by technology

[0005] There are following problems in the determination of the phenomenological constitutive model in the prior art: (1) a large amount of mechanical tests need to be carried out in a wide range of loads; (2) for a series of explanatory variables (plastic strain, strain rate, deformation temperature and It is difficult to define the coupling relationship between the observable material behavior of the test); (3) it is more difficult to determine as the number of material parameters representing the constitutive model increases; (4) the accurate expression of the constitutive model is often related to the experience of the developer, Increased uncertainty and non-uniformity in constitutive development for the same material

Images