Geodesic
Application of the UMAT subroutine for solving continuum mechanics problems (overview)
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 27 (2021) no. 3, pp. 46-73

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This paper presents an overview of the application of the UMAT subroutine of the SIMULIA Abaqus multifunctional software package in solid mechanics and related areas. This subroutine is used to describe new user materials that are not available in the class of standard materials of the SIMULIA Abaqus package. This overview article provides examples of problems and constitutive equations of materials that are modeled using UMAT / VUMAT procedures. Various types of materials are presented, successfully described by means of user-defined UMAT and VUMAT procedures. A general description and experience of using the UMAT subroutine is given. The results of finite element modeling of the deformation of a plate weakened by a central circular hole under uniform and uniaxial tension with steady-state creep in a damaged medium evolving according to a power law are presented in the coupled formulation of the problem (creep - damage). The distributions of stresses, strains, and damage fields at the tip of the defect under creep conditions are found, and an analysis is made of the effect of the damage accumulation process on the stress fields at the crack tip under steady-state creep conditions. The distributions of stresses and creep strains are demonstrated taking into account the accumulation of damage over time.
Keywords: user procedure UMAT, SIMULIA Abaqus, composits, creep, damage, solid mechanics, modeling of materials, fracture in creep conditions. 
@article{VSGU_2021_27_3_a4,
     author = {O. N. Belova and D. V. Chapliy and L. V. Stepanova},
     title = {Application of the {UMAT} subroutine for solving continuum mechanics problems (overview)},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {46--73},
     publisher = {mathdoc},
     volume = {27},
     number = {3},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2021_27_3_a4/}
}
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O. N. Belova; D. V. Chapliy; L. V. Stepanova. Application of the UMAT subroutine for solving continuum mechanics problems (overview). Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 27 (2021) no. 3, pp. 46-73. http://geodesic.mathdoc.fr/item/VSGU_2021_27_3_a4/