TY - JOUR

T1 - Numerical simulation of the hyperelastic material using new strain measure

AU - Annin, Boris Dmitrievich

AU - Bagrov, Konstantin Vladimirovich

N1 - Funding Information: The work was supported by the Russian Foundation for Basic Research (Grant No. 19-01-00511 A). Publisher Copyright: © 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH, AT part of Springer Nature. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/5

Y1 - 2021/5

N2 - The three-dimensional model of the hyperelastic body under large strains is researched. A new strain measure, based on the QR-decomposition of the deformation gradient, is discussed. It is shown that this strain measure allows for more explicit analytical connections between different parameters of the stress–strain condition then the traditional approach. An example method of introducing this measure into numerical simulations for an arbitrary three-dimensional model with linear shape functions is presented.

AB - The three-dimensional model of the hyperelastic body under large strains is researched. A new strain measure, based on the QR-decomposition of the deformation gradient, is discussed. It is shown that this strain measure allows for more explicit analytical connections between different parameters of the stress–strain condition then the traditional approach. An example method of introducing this measure into numerical simulations for an arbitrary three-dimensional model with linear shape functions is presented.

UR - http://www.scopus.com/inward/record.url?scp=85101855138&partnerID=8YFLogxK

U2 - 10.1007/s00707-020-02904-3

DO - 10.1007/s00707-020-02904-3

M3 - Article

AN - SCOPUS:85101855138

VL - 232

SP - 1809

EP - 1813

JO - Acta Mechanica

JF - Acta Mechanica

SN - 0001-5970

IS - 5

ER -