A Multi-objective Optimization Method Based on Dependency-Based Integrated Phenomenological Constitutive

Abstract

The invention discloses 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. The multi-objective optimization method constructed by the present invention is based on the three types of weighting factors introduced by considering the measurement error, the number of data points or the number of constitutive parameters under different loading conditions, quasi-static and dynamic equal optimization opportunities, and is determined in sequence according to the optimization quality criterion Uncoupled strain hardening function for quasi-static deformation, thermal softening function for quasi-static deformation, strain hardening function for coupled temperature for quasi-static deformation, uncoupled strain rate sensitivity function for quasi-static and dynamic deformation, quasi-static and dynamic deformation The strain rate sensitivity function coupled with temperature is used to determine the basic form of the phenomenological constitutive model; the specific form of the determined constitutive model is fitted according to the experimental data under all loading conditions by using the multi-weight 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...

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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

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