Nonlinear Shell Modeling of Thin Membranes with Emphasis on Structural Wrinkling

Tessler, Alexander; Sleight, David W.; Wang, John T.

doi:10.2514/6.2003-1931

Cited by 40 publications

(33 citation statements)

References 16 publications

(28 reference statements)

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“…Instead, Leifer and Belvin [2003] applied a set of equal and opposite, small magnitude forces perpendicular to the membrane and with a resultant of zero. Finally, Tessler et al [2003;2004] and Papa and Pellegrino [2005] imposed randomly distributed, out-of-plane imperfections, of similar magnitudes to those imposed in [Wong and Pellegrino 2002a].…”

Section: Review Of Previous Numerical Studiesmentioning

confidence: 99%

Wrinkled membranes III: numerical simulations

Wong¹,

Pellegrino

2006

J. Mech. Solids Struct.

170

122

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This is the third and final part of a study of wrinkles in thin membrane structures. High-fidelity, geometrically nonlinear finite element models of membrane structures, based on thin-shell elements, are used to simulate the onset and growth of wrinkles. The simulations are carried out with the ABAQUS finite element package. The accuracy of the results is demonstrated by computing the characteristics of the wrinkles in two specific membrane structures that were investigated experimentally and analytically in the first two papers in this series.

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Section: Review Of Previous Numerical Studiesmentioning

confidence: 99%

Wrinkled membranes III: numerical simulations

Wong¹,

Pellegrino

2006

J. Mech. Solids Struct.

170

122

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show abstract

Section: Review Of Previous Numerical Studiesmentioning

confidence: 99%

Untitled

2006

JOMMS

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The new journal which you are reading, known as JoMMS to its already large circle of friends, is the fruit of a collaboration between an experienced Editorial Board, our authors and referees, and the staff of MSP, an innovative nonprofit publisher. George Herrmann serves as Senior Editorial Advisor, and the journal follows his philosophy of broad coverage and stringent peer review.As we proudly present this first issue to the world, we can say with confidence that this publication will set a standard for technical publications in the twenty-first century and will provide a wealth of services to readers and libraries. In choosing to publish with MSP, the editoral board acknowledges that while commercial publishers have helped satisfy a need that technical societies were slow to recognize, it is now time for a change. The sole goal of MSP is to keep research publications in the hands of researchers for the benefit of the scientific community, using the full panoply of modern software and networking tools to produce high quality at an affordable price. JoMMS's features include:• the option of color figures without page charges;• free universal access after a year of publication, and right away for Volume 1; • convenient subscriber access by IP range;• indexing on major search engines and on the journal web site, jomms.org;• support for optional nonprint material such as sound, movies, animations, source software, and embedded data behind plots and tables;• downloadable PDF files with full links for cross-references and bibliographical items, including frequently updated links to other publications;• careful typesetting, copy editing, and figure handling;• a license-to-publish model rather than a transfer-of-copyright model, so that authors keep control of their creation;• a low subscription price that will not grow faster than the number of pages and indeed may drop as the subscriber base expands.Few journals even approach this in terms of benefits to you and the community. We hope you will submit your best work to JoMMS and encourage your library to subscribe. Please feel free to ask questions and offer suggestions and ideas. This paper presents a detailed experimental study of the evolution and shape of reversible corrugations, or wrinkles, in initially flat, linear-elastic and isotropic thin foils subject to in-plane loads. Two sets of experiments were carried out, on a rectangular membrane under simple shear and on a square membrane subjected to two pairs of equal and opposite diagonal forces at the corners. Salient findings are that: the wrinkle profile is generally well approximated by a half sine wave in the longitudinal direction, with constant or linearly-varying transverse wavelength; sudden changes in the shape of the membrane, accompanied by changes in the number of wrinkles, occur in both cases; in the sheared membrane the wrinkle pattern remains essentially unchanged for increasing shear displacement, whereas in the square membrane a large diagonal wrinkle appears when the corner load ratio is around 3.

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“…This source of stabilization is very 'cheap' as already needed for other reasons consequently the design of any wrinkling strategy should take the maximum possible advantage of it. This beneficial effect is commonly recognized and it is at the base of the choice of pseudodynamic methods that are commonly introduced (see for example References [6,7,9,10]) to keep the advantages of the dynamics while allowing to converge directly to the static configuration.…”

Section: Inclusion Of the Wrinkling Procedures In The Solution Proceduresmentioning

confidence: 99%

“…Works performed using shell elements (e.g. References [8][9][10]) use and discuss other forms of dynamic stabilization.…”

Section: Dynamic Procedure: Quasi-static Solutionmentioning

confidence: 99%

Simulation of light‐weight membrane structures by wrinkling model

Rossi

Lazzari

Vitaliani

et al. 2005

Numerical Meth Engineering

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The computational challenge in dealing with membrane systems is closely connected to the lack of bending stiffness that constitutes the main feature of this category of structures. This manifests numerically in badly conditioned or singular systems requiring the use of stabilized solution procedures, in our case of a 'pseudo-dynamic' approach. The absence of the flexural stiffness makes the membrane very prone to local instabilities which manifest physically in the formation of little 'waves' in 'compressed' areas. Current work presents an efficient. sub-iteration free 'explicit', penalty material based. wrinkling simulation procedure suitable for the solution of 'static' problems. The procedure is stabilized by taking full advantage of the pseudo-dynamic Solution strategy, which allows to retain the elemental quadratic convergence properties inside the single Solution step. Results are validated by comparison with published results and by setting up 'numerical experiments' based on the solution of test cases using dense ineshes

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Nonlinear Shell Modeling of Thin Membranes with Emphasis on Structural Wrinkling

Cited by 40 publications

References 16 publications

Wrinkled membranes III: numerical simulations

Wrinkled membranes III: numerical simulations

Untitled

Simulation of light‐weight membrane structures by wrinkling model

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