Extending uniaxial material laws to multiaxial constitutive relations: H-approach

A. V. Shutov, P. P. Laktionov, Y. S. Nekrasova

Результат исследования: Научные публикации в периодических изданияхстатья

Аннотация

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.

Язык оригиналаанглийский
Номер статьи103937
Число страниц9
ЖурналEuropean Journal of Mechanics, A/Solids
Том81
DOI
СостояниеОпубликовано - 1 мая 2020

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