An Eight-Node Hexahedral Finite Element with Rotational DOFs for Elastoplastic Applications-Reference-Cited by-同舟云学术

An Eight-Node Hexahedral Finite Element with Rotational DOFs for Elastoplastic Applications

Published:2019-12-01 Issue:1 Volume:11 Page:54-66
ISSN:2066-8910
Container-title:Acta Universitatis Sapientiae, Electrical and Mechanical Engineering
language:en
Short-container-title:

Author:

Ayadi Ayoub¹,Meftah Kamel¹,Sedira Lakhdar²,Djahara Hossam¹

Affiliation:

1. Laboratoire de Génie Energétique et Matériaux (LGEM) , University of Biskra , BP145 RP Biskra , Algeria

2. Laboratoire de Génie Mécanique (LGM) , University of Biskra , BP145 RP Biskra , Algeria

Abstract

Abstract In this paper, the earlier formulation of the eight-node hexahedral SFR8 element is extended in order to analyze material nonlinearities. This element stems from the so-called Space Fiber Rotation (SFR) concept which considers virtual rotations of a nodal fiber within the element that enhances the displacement vector approximation. The resulting mathematical model of the proposed SFR8 element and the classical associative plasticity model are implemented into a Fortran calculation code to account for small strain elastoplastic problems. The performance of this element is assessed by means of a set of nonlinear benchmark problems in which the development of the plastic zone has been investigated. The accuracy of the obtained results is principally evaluated with some reference solutions.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/auseme-2019-0005

Reference34 articles.

1. [1] Che, F. X., and Pang, J. H. “Study on Board-Level Drop Impact Reliability of Sn–Ag–Cu Solder Joint by Considering Strain Rate Dependent Properties of Solder”, IEEE Transactions on Device and Materials Reliability, vol. 15, no. 2, pp. 181-190, 2015.

2. [2] de Souza Neto, E. A., Peric, D., & Owen, D. R., “Computational methods for plasticity: theory and applications”, John Wiley & Sons, 2011.

3. [3] Pope, G. G., “A discrete element method for the analysis of plane elasto-plastic stress problems”, The Aeronautical Quarterly, vol. 17, no. 1, pp. 83-104, 1966.

4. [4] Marcal, P. V., & King, I. P., “Elastic-plastic analysis of two-dimensional stress systems by the finite element method”, International Journal of Mechanical Sciences, vol. 9, no. 3, pp. 143-155, 1967.

5. [5] Yamada, Y., Yoshimura, N., & Sakurai, T., “Plastic stress-strain matrix and its application for the solution of elastic-plastic problems by the finite element method”, International Journal of Mechanical Sciences, vol. 10, no. 5, pp. 343-354, 1968.

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