Method and system for inverting material shear constitutive relation based on solid round rod torsion

By using the torsion inversion method for solid round bars, a polynomial model is established and the algorithm for solving the coefficients is optimized, which solves the problems of complexity and high cost in the inversion of material constitutive relations in the existing technology, and realizes a simple and efficient material shear constitutive relation inversion.

CN121862268APending Publication Date: 2026-04-14SOUTHWEST JIAOTONG UNIV
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Patent Information

Application Number
CN202511869176.5
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2025-12-11
Publication Date
2026-04-14

AI Technical Summary

Technical Problem

Existing methods for inverting material constitutive relations require pre-setting the constitutive relations of the material, which are mathematically complex, difficult to calibrate parameters, and costly to conduct experiments. In particular, thin-walled cylindrical specimens are difficult to process and have low computational efficiency.

Method used

The torsion inversion method of solid round bars is adopted. By obtaining experimental torque-torsion angle curve data, a polynomial model of shear stress-shear strain and torque-torsion angle is established. The polynomial coefficients are solved by optimization algorithm to obtain the shear constitutive relation of the material.

Benefits of technology

It requires no pre-defined constitutive relations, has a simple mathematical form, is applicable to different materials, has low experimental costs, high computational efficiency, and strong applicability, making it suitable for the study of shear properties of engineering materials.

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Abstract

The invention provides a method and system for inverting a material shear constitutive relation based on solid round rod torsion, and relates to the technical field of constitutive relation inversion, and the method comprises the steps: obtaining torque-torsion angle curve data of a solid round rod test piece in a pure torsion experiment, and the length and radius of the solid round rod test piece; establishing a shear stress-shear strain and torque-torsion angle bipolynomial model, and forming a mathematical model based on a polynomial form; then deriving a conversion relation between polynomial coefficients based on a round rod torsion theory, and fitting experimental data through an optimization algorithm to solve a torque polynomial coefficient; and finally, obtaining a constitutive relation coefficient by utilizing mathematical conversion, and generating the shear constitutive relation of the material. The method does not need to preset a constitutive form, is suitable for various materials such as metals and macromolecules, and has the advantages of simple model, efficient inversion, low experiment cost and the like.
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