{"title":"COMPUTATIONAL ALGORITHM FOR STUDYING THE CONSTITUTIVE RELATIONS OF THE ENDOCHRONIC THEORY OF THERMOPLASTICITY FOR ISOTROPIC MATERIALS","authors":"G. N. Kuvyrkin, D. R. Rakhimov","doi":"10.1134/S0021894424030118","DOIUrl":null,"url":null,"abstract":"<p>It is proposed to use the relations of the endochronic theory of thermoplasticity to describe the nonlinear deformation of isotropic materials under non-isothermal loading. A version of the constitutive relations in integral and differential form is given for the general loading case. Based on the results of uniaxial tension (torsion) tests, analytical relations are determined for a number of material parameters of the model. A numerical algorithm based on the Euler method with inner iteration carried out by the Seidel method is proposed to analyze the constitutive relations. An example of numerical calculation of the uniaxial tension of a rod under complex thermal force loading. It is shown that the calculation results are in satisfactory agreement with the results obtained using the flow theory of plasticity with isotropic hardening.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"65 3","pages":"496 - 501"},"PeriodicalIF":0.5000,"publicationDate":"2024-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Mechanics and Technical Physics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0021894424030118","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
It is proposed to use the relations of the endochronic theory of thermoplasticity to describe the nonlinear deformation of isotropic materials under non-isothermal loading. A version of the constitutive relations in integral and differential form is given for the general loading case. Based on the results of uniaxial tension (torsion) tests, analytical relations are determined for a number of material parameters of the model. A numerical algorithm based on the Euler method with inner iteration carried out by the Seidel method is proposed to analyze the constitutive relations. An example of numerical calculation of the uniaxial tension of a rod under complex thermal force loading. It is shown that the calculation results are in satisfactory agreement with the results obtained using the flow theory of plasticity with isotropic hardening.
期刊介绍：
Journal of Applied Mechanics and Technical Physics is a journal published in collaboration with the Siberian Branch of the Russian Academy of Sciences. The Journal presents papers on fluid mechanics and applied physics. Each issue contains valuable contributions on hypersonic flows; boundary layer theory; turbulence and hydrodynamic stability; free boundary flows; plasma physics; shock waves; explosives and detonation processes; combustion theory; multiphase flows; heat and mass transfer; composite materials and thermal properties of new materials, plasticity, creep, and failure.
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