Shape optimization of shells and locking

Natalia Camprubí; Manfred Bischoff; Kai Uwe Bletzinger

doi:10.1016/j.compstruc.2004.04.017

Shape optimization of shells and locking

Natalia Camprubí, Manfred Bischoff, Kai Uwe Bletzinger

Chair of Structural Analysis

Technical University of Munich

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

In the present paper, the significance of a reliable finite element formulation in the optimization process is discussed. First, analytical sensitivities for a shell element based on the DSG concept are derived. Due to its simplicity, efficiency and the possibility to compute sensitivities analytically, the DSG method turns out to be perfectly well-suited for shape optimization. The effects of locking on shape optimization of shells are studied by numerical experiments using a standard displacement shell formulation and the DSG method. It is shown that locking phenomena may affect the optimum not only quantitatively, but also qualitatively.

Original language	English
Pages (from-to)	2551-2561
Number of pages	11
Journal	Computers and Structures
Volume	82
Issue number	29-30
DOIs	https://doi.org/10.1016/j.compstruc.2004.04.017
State	Published - Nov 2004

Keywords

Dsg method
Finite elements
Locking
Reissner-mindlin shells
Sensitivity analysis
Shape optimization

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10.1016/j.compstruc.2004.04.017

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title = "Shape optimization of shells and locking",

abstract = "In the present paper, the significance of a reliable finite element formulation in the optimization process is discussed. First, analytical sensitivities for a shell element based on the DSG concept are derived. Due to its simplicity, efficiency and the possibility to compute sensitivities analytically, the DSG method turns out to be perfectly well-suited for shape optimization. The effects of locking on shape optimization of shells are studied by numerical experiments using a standard displacement shell formulation and the DSG method. It is shown that locking phenomena may affect the optimum not only quantitatively, but also qualitatively.",

keywords = "Dsg method, Finite elements, Locking, Reissner-mindlin shells, Sensitivity analysis, Shape optimization",

author = "Natalia Camprub{\'i} and Manfred Bischoff and Bletzinger, {Kai Uwe}",

note = "Funding Information: This work is part of the research project 03BLM3M1 of the German Federal Ministry of Education and Research. This support is gratefully acknowledged.",

year = "2004",

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TY - JOUR

T1 - Shape optimization of shells and locking

AU - Camprubí, Natalia

AU - Bischoff, Manfred

AU - Bletzinger, Kai Uwe

N1 - Funding Information: This work is part of the research project 03BLM3M1 of the German Federal Ministry of Education and Research. This support is gratefully acknowledged.

PY - 2004/11

Y1 - 2004/11

N2 - In the present paper, the significance of a reliable finite element formulation in the optimization process is discussed. First, analytical sensitivities for a shell element based on the DSG concept are derived. Due to its simplicity, efficiency and the possibility to compute sensitivities analytically, the DSG method turns out to be perfectly well-suited for shape optimization. The effects of locking on shape optimization of shells are studied by numerical experiments using a standard displacement shell formulation and the DSG method. It is shown that locking phenomena may affect the optimum not only quantitatively, but also qualitatively.

AB - In the present paper, the significance of a reliable finite element formulation in the optimization process is discussed. First, analytical sensitivities for a shell element based on the DSG concept are derived. Due to its simplicity, efficiency and the possibility to compute sensitivities analytically, the DSG method turns out to be perfectly well-suited for shape optimization. The effects of locking on shape optimization of shells are studied by numerical experiments using a standard displacement shell formulation and the DSG method. It is shown that locking phenomena may affect the optimum not only quantitatively, but also qualitatively.

KW - Dsg method

KW - Finite elements

KW - Locking

KW - Reissner-mindlin shells

KW - Sensitivity analysis

KW - Shape optimization

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DO - 10.1016/j.compstruc.2004.04.017

M3 - Article

AN - SCOPUS:8344269454

SN - 0045-7949

VL - 82

SP - 2551

EP - 2561

JO - Computers and Structures

JF - Computers and Structures

IS - 29-30

ER -

Shape optimization of shells and locking

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Keywords

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