Efficient sub-grid scale modeling of membrane wrinkling by a projection method

Jarasjarungkiat, A.; Wüchner, Roland; Bletzinger, K.‐U.

doi:10.1016/j.cma.2008.11.014

Cited by 24 publications

(10 citation statements)

References 27 publications

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“…This is realized by projecting the zero-strain energy components out of the stiffness matrix, which modifies the constitutive law. Jarasjarungkiat et al [14] have extended this method for use with orthotropic materials.…”

Section: Introductionmentioning

confidence: 97%

A finite element interior-point implementation of tension field theory

Rooij

Abdalla

2015

Computers & Structures

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Section: Introductionmentioning

confidence: 97%

A finite element interior-point implementation of tension field theory

Rooij

Abdalla

2015

Computers & Structures

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“…– Statische und dynamische Berechnung u. a. von großen Verschiebungen, Stabilitätsverhalten, nichtlinearen und anisotropen Materialien, verformungsabhängen Lasten (z. B. richtungsveränderlicher Innendruck beim Aufblasen von Pneus und Luftkissen), Kontakt, Plastizität, Schädigung und Faltenwurf [18, 19].…”

Section: Nichtlineare Simulation Des Tragverhaltensunclassified

Simulationsmethoden im textilen Leichtbau – Die Entwicklung seit 1972 und aktueller Stand

Bletzinger

2015

Bautechnik

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“…Inflation of a square airbag. This example, in which a flat square isotropic membrane is gradually inflated by a constant pressure until its magnitude reaches 5 kPa, has been solved using a wrinkling model in [Jarasjarungkiat et al 2009]. The geometry and material properties are shown in Figure 13 Figure 13.…”

Section: Improved Hybrid Elements For Structural Analysis 521mentioning

confidence: 99%

Improved hybrid elements for structural analysis

Jog

2010

JoMMS

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Hybrid elements, which are based on a two-field variational formulation with the displacements and stresses interpolated separately, are known to deliver very high accuracy, and to alleviate to a large extent problems of locking that plague standard displacement-based formulations. The choice of the stress interpolation functions is of course critical in ensuring the high accuracy and robustness of the method. Generally, an attempt is made to keep the stress interpolation to the minimum number of terms that will ensure that the stiffness matrix has no spurious zero-energy modes, since it is known that the stiffness increases with the increase in the number of terms. Although using such a strategy of keeping the number of interpolation terms to a minimum works very well in static problems, it results either in instabilities or fails to converge in transient problems. This is because choosing the stress interpolation functions merely on the basis of removing spurious energy modes can violate some basic principles that interpolation functions should obey. In this work, we address the issue of choosing the interpolation functions based on such basic principles of interpolation theory and mechanics. Although this procedure results in the use of more number of terms than the minimum (and hence in slightly increased stiffness) in many elements, we show that the performance continues to be far superior to displacement-based formulations, and, more importantly, that it also results in considerably increased robustness.

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Efficient sub-grid scale modeling of membrane wrinkling by a projection method

Cited by 24 publications

References 27 publications

A finite element interior-point implementation of tension field theory

A finite element interior-point implementation of tension field theory

Simulationsmethoden im textilen Leichtbau – Die Entwicklung seit 1972 und aktueller Stand

Improved hybrid elements for structural analysis

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