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Extending uniaxial material laws to multiaxial constitutive relations : H-approach. / Shutov, A. V.; Laktionov, P. P.; Nekrasova, Y. S.
в: European Journal of Mechanics, A/Solids, Том 81, 103937, 01.05.2020.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Extending uniaxial material laws to multiaxial constitutive relations
T2 - H-approach
AU - Shutov, A. V.
AU - Laktionov, P. P.
AU - Nekrasova, Y. S.
PY - 2020/5/1
Y1 - 2020/5/1
N2 - A simple method is presented, allowing us to extend any one-dimensional material model to a general material law suitable for arbitrary multiaxial loading conditions. The resulting system of constitutive equations respects the general principles of constitutive modelling, thus preserving thermodynamic consistency and objectivity. The method is based on a certain modification of the concept of representative directions. Since it operates with logarithmic Hencky strains we call it H-approach. In contrast to the conventional concept of representative directions, which we call now C-approach, the H-approach does not require artificial deviatorization of the stress tensor. Moreover, the H-approach allows one to model initially isotropic materials with a smaller number of representative directions, thus reducing the computational costs. The performance of the H-approach regarding the description of second-order effects under simple shear is tested. The flexibility of the H-approach in describing mechanical response of a real material is also demonstrated. Toward that end, a complex mechanical behaviour of certain electrospun polymer is rendered.
AB - A simple method is presented, allowing us to extend any one-dimensional material model to a general material law suitable for arbitrary multiaxial loading conditions. The resulting system of constitutive equations respects the general principles of constitutive modelling, thus preserving thermodynamic consistency and objectivity. The method is based on a certain modification of the concept of representative directions. Since it operates with logarithmic Hencky strains we call it H-approach. In contrast to the conventional concept of representative directions, which we call now C-approach, the H-approach does not require artificial deviatorization of the stress tensor. Moreover, the H-approach allows one to model initially isotropic materials with a smaller number of representative directions, thus reducing the computational costs. The performance of the H-approach regarding the description of second-order effects under simple shear is tested. The flexibility of the H-approach in describing mechanical response of a real material is also demonstrated. Toward that end, a complex mechanical behaviour of certain electrospun polymer is rendered.
KW - Concept of representative directions
KW - Constitutive modelling
KW - Electrospun polymer
KW - Finite strains
KW - Hencky strain
KW - ELASTICITY
KW - TENSORS
KW - SPHERE MODEL
KW - MICRO-MACRO APPROACH
KW - FIBER DISPERSION
KW - RUBBER-LIKE MATERIALS
UR - http://www.scopus.com/inward/record.url?scp=85077737743&partnerID=8YFLogxK
U2 - 10.1016/j.euromechsol.2019.103937
DO - 10.1016/j.euromechsol.2019.103937
M3 - Article
AN - SCOPUS:85077737743
VL - 81
JO - European Journal of Mechanics, A/Solids
JF - European Journal of Mechanics, A/Solids
SN - 0997-7538
M1 - 103937
ER -
ID: 23124597