Evaluation of two finite element formulations for a rapid 3D stress analysis of sandwich structures

Research output: Contribution to journalArticleResearchpeer review

Authors

External Research Organisations

  • German Aerospace Center (DLR) (e.V.) Location Braunschweig
View graph of relations

Details

Original languageEnglish
Pages (from-to)1537-1545
Number of pages9
JournalComputers and Structures
Volume83
Issue number19-20
Publication statusPublished - 12 Apr 2005
Externally publishedYes

Abstract

For efficiently simulating the impact behavior of sandwich structures made from composite face sheets and a lightweight core a rapid and accurate 3D stress analysis is essential. For that reason, a three-layered finite element formulation based on plane stress assumptions was recently developed by Kärger et al. [Kärger, WA, Rolfes R, Rohwer K. A three-layered sandwich element with improved transverse shear stiffness and stress based on FSDT. Comput Struct, submitted for publication]. It has turned out, however, that under concentrated out-of-plane loads this element formulation lacks appropriate accuracy of stress results. Therefore, an improved finite element formulation is developed, which accounts for the full 3D stress state. In a post-processing routine, the transverse stresses are improved by using the Extended 2D Method, which was developed by Rolfes and Rohwer [Rolfes R, Rohwer K. Improved transverse shear stresses in composite finite elements based on first order shear deformation theory. Int J Numer Meth Eng 1997;40:51-60] and extended to a three-layered sandwich structure by Kärger et al. Both the finite element formulation by Kärger et al. and the new formulation presented in the present article use pure displacement approaches and require only C0-continuity conditions, which simplifies integration into existing FE codes and allows combined application with other finite elements. Two examples demonstrate the accuracy and applicability of the two elements.

Keywords

    3D stress analysis, Composite, Layered shell element, Sandwich

ASJC Scopus subject areas

Cite this

Evaluation of two finite element formulations for a rapid 3D stress analysis of sandwich structures. / Wetzel, A.; Kärger, L.; Rolfes, R. et al.
In: Computers and Structures, Vol. 83, No. 19-20, 12.04.2005, p. 1537-1545.

Research output: Contribution to journalArticleResearchpeer review

Wetzel A, Kärger L, Rolfes R, Rohwer K. Evaluation of two finite element formulations for a rapid 3D stress analysis of sandwich structures. Computers and Structures. 2005 Apr 12;83(19-20):1537-1545. doi: 10.1016/j.compstruc.2005.02.005
Download
@article{a4902da3d6924f59a5b9fe149bbd90e6,
title = "Evaluation of two finite element formulations for a rapid 3D stress analysis of sandwich structures",
abstract = "For efficiently simulating the impact behavior of sandwich structures made from composite face sheets and a lightweight core a rapid and accurate 3D stress analysis is essential. For that reason, a three-layered finite element formulation based on plane stress assumptions was recently developed by K{\"a}rger et al. [K{\"a}rger, WA, Rolfes R, Rohwer K. A three-layered sandwich element with improved transverse shear stiffness and stress based on FSDT. Comput Struct, submitted for publication]. It has turned out, however, that under concentrated out-of-plane loads this element formulation lacks appropriate accuracy of stress results. Therefore, an improved finite element formulation is developed, which accounts for the full 3D stress state. In a post-processing routine, the transverse stresses are improved by using the Extended 2D Method, which was developed by Rolfes and Rohwer [Rolfes R, Rohwer K. Improved transverse shear stresses in composite finite elements based on first order shear deformation theory. Int J Numer Meth Eng 1997;40:51-60] and extended to a three-layered sandwich structure by K{\"a}rger et al. Both the finite element formulation by K{\"a}rger et al. and the new formulation presented in the present article use pure displacement approaches and require only C0-continuity conditions, which simplifies integration into existing FE codes and allows combined application with other finite elements. Two examples demonstrate the accuracy and applicability of the two elements.",
keywords = "3D stress analysis, Composite, Layered shell element, Sandwich",
author = "A. Wetzel and L. K{\"a}rger and R. Rolfes and K. Rohwer",
year = "2005",
month = apr,
day = "12",
doi = "10.1016/j.compstruc.2005.02.005",
language = "English",
volume = "83",
pages = "1537--1545",
journal = "Computers and Structures",
issn = "0045-7949",
publisher = "Elsevier Ltd.",
number = "19-20",

}

Download

TY - JOUR

T1 - Evaluation of two finite element formulations for a rapid 3D stress analysis of sandwich structures

AU - Wetzel, A.

AU - Kärger, L.

AU - Rolfes, R.

AU - Rohwer, K.

PY - 2005/4/12

Y1 - 2005/4/12

N2 - For efficiently simulating the impact behavior of sandwich structures made from composite face sheets and a lightweight core a rapid and accurate 3D stress analysis is essential. For that reason, a three-layered finite element formulation based on plane stress assumptions was recently developed by Kärger et al. [Kärger, WA, Rolfes R, Rohwer K. A three-layered sandwich element with improved transverse shear stiffness and stress based on FSDT. Comput Struct, submitted for publication]. It has turned out, however, that under concentrated out-of-plane loads this element formulation lacks appropriate accuracy of stress results. Therefore, an improved finite element formulation is developed, which accounts for the full 3D stress state. In a post-processing routine, the transverse stresses are improved by using the Extended 2D Method, which was developed by Rolfes and Rohwer [Rolfes R, Rohwer K. Improved transverse shear stresses in composite finite elements based on first order shear deformation theory. Int J Numer Meth Eng 1997;40:51-60] and extended to a three-layered sandwich structure by Kärger et al. Both the finite element formulation by Kärger et al. and the new formulation presented in the present article use pure displacement approaches and require only C0-continuity conditions, which simplifies integration into existing FE codes and allows combined application with other finite elements. Two examples demonstrate the accuracy and applicability of the two elements.

AB - For efficiently simulating the impact behavior of sandwich structures made from composite face sheets and a lightweight core a rapid and accurate 3D stress analysis is essential. For that reason, a three-layered finite element formulation based on plane stress assumptions was recently developed by Kärger et al. [Kärger, WA, Rolfes R, Rohwer K. A three-layered sandwich element with improved transverse shear stiffness and stress based on FSDT. Comput Struct, submitted for publication]. It has turned out, however, that under concentrated out-of-plane loads this element formulation lacks appropriate accuracy of stress results. Therefore, an improved finite element formulation is developed, which accounts for the full 3D stress state. In a post-processing routine, the transverse stresses are improved by using the Extended 2D Method, which was developed by Rolfes and Rohwer [Rolfes R, Rohwer K. Improved transverse shear stresses in composite finite elements based on first order shear deformation theory. Int J Numer Meth Eng 1997;40:51-60] and extended to a three-layered sandwich structure by Kärger et al. Both the finite element formulation by Kärger et al. and the new formulation presented in the present article use pure displacement approaches and require only C0-continuity conditions, which simplifies integration into existing FE codes and allows combined application with other finite elements. Two examples demonstrate the accuracy and applicability of the two elements.

KW - 3D stress analysis

KW - Composite

KW - Layered shell element

KW - Sandwich

UR - http://www.scopus.com/inward/record.url?scp=19944389879&partnerID=8YFLogxK

U2 - 10.1016/j.compstruc.2005.02.005

DO - 10.1016/j.compstruc.2005.02.005

M3 - Article

AN - SCOPUS:19944389879

VL - 83

SP - 1537

EP - 1545

JO - Computers and Structures

JF - Computers and Structures

SN - 0045-7949

IS - 19-20

ER -

By the same author(s)