Numerical implementation of the Murnaghan material model in ABAQUS/Standard

Stanisław Jemioło , Aleksander Franus


The paper presents a numerical implementation of the Murnaghan material model (M) [1] in the finite element method software ABAQUS / Standard v. 6.14 [2]. The UHYPER user subroutine is employed, which is suitable for the class of isotropic hyperelastic models [3]. As a special case of the M model, the Saint Venant -Kirchhoff (SVK) model is considered [4]. Formal verification on the basis of elementary tests is performed. Among others, a special attention is paid to a simple shear deformation. In all tested types of deformation , analytical values confirms results based on the finite element procedure within assumed numerical precision and accuracy. It should be noted that the stored -energy function of the M and SVK models do not meet any equirements of the mathematical theory of non -linear elasticity [4, 5]. Therefore, these models are suitable for relatively small deformations, while there are no restrictions on finite rotations. As an example of application s, a tube under axial compression is considered in two cases. Various starting parameters for the Riks procedure [6, 7] are adopted to obtain different solutions of corresponding boundary value problem. Material parameters of steel are considered according to Lurie
Author Stanisław Jemioło (FCE / ICE)
Stanisław Jemioło,,
- The Institute of Civil Engineering
, Aleksander Franus (FCE / ICE)
Aleksander Franus,,
- The Institute of Civil Engineering
Journal seriesMATEC Web of Conferences, ISSN , e-ISSN 2261-236X
Issue year2018
Publication size in sheets0.5
Article number01042
ConferenceXXVII Russian-Slovak-Polish Seminar Theoretical Foundation of Civil Engineering (TFoCE 2018), 17-09-2018 - 21-09-2018, Rostov-on-Don, Rosja
Keywords in PolishABAQUS
Keywords in English numerical implementation , Murnaghan material model, ABAQUS
Languageen angielski
matecconf_rsp2018_01042.pdf 693.43 KB
Score (nominal)15
Score sourcejournalIndex
ScoreMinisterial score = 15.0, 12-06-2020, ArticleFromJournal
Publication indicators Scopus Citations = 2
Citation count*4 (2020-06-26)
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