Constitutive relations for isotropic materials allowing quasi-linear approximation of the deformation law

4th International Conference on Safety Problems of Civil Engineering Critical Infrastructures

土木建筑工程

Treschev, A.A.^1 ; Bobrishev, A.A.^2 ; Shafigullin, L.N.^2

Tula State University, Lenin Avenu, Tula

300012, Russia^1

Kazan (Volga Region) Federal University, Süümbike Avenue, Naberezhnye Chelny

423812, Russia^2

关键词: Constitutive relations;    Deformation laws;    Deformation potential;    Isotropic materials;    Quasi-linear;    Quasi-linear model;    Single curves;    Stress space;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/481/1/012014/pdf
DOI  :  10.1088/1757-899X/481/1/012014

学科分类：土木及结构工程学

来源: IOP

【 摘 要 】

Variants of deformation potentials for isotropic materials that do not obey the "single curve" hypothesis are considered. The advantage of the potentials formulated in two normalized stress spaces in comparison with other variants of quasi-linear models of the constitutive relations for isotropic materials is demonstrated. It is shown that the claims of some authors on the originality and universality of the deformation potentials proposed by them are not justified, and their variants of relations are reduced to two forms of writing in normalized spaces.