A wrinkling model based on material modification for isotropic and orthotropic membranes

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

doi:10.1016/j.cma.2007.09.005

Cited by 58 publications

(26 citation statements)

References 23 publications

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“…(8). A wrinkle-wave model of a regular polygonal membrane structure can then be obtained as follows:…”

Section: Fig 8 Wrinkle Deformations Calculation After a Rotationmentioning

confidence: 99%

“…To measure partially wrinkled membranes, Stein and Hedgepeth introduced the concept of a viable Poisson's ratio, 4 which was extended by Mikulas 5 in a numerical and experimental study. On the basis of these works, Ding and Yang proposed a new membrane model with viable Young's modulus and Poisson's ratio, 6 which was later studied by Rossi et al 7 and Jarasjarungkiat et al 8 However, although tension field theory can describe certain characteristics of wrinkling, it cannot predict wrinkle amplitude, number, or wavelength. 9 To overcome the difficulty of predicting the wrinkling behavior, a stability theory was developed.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of wrinkled membrane structures based on a wrinkle-wave model

2017

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As research on the applications of high-precision membrane structures develops, wrinkling has become a popular topic. Here, we present a new wrinkle-wave model to describe wrinkles more accurately. First, the characteristics of wrinkle-waves that result from radial tension stress applied at the vertex of a triangular structure were analyzed. However, for polygonal structures under more than two tensions, the influence of the other vertexes should also be considered. Therefore, by introducing a load ratio, we constructed a wrinkle-wave model of a square membrane structure subjected to corner forces. This model is applicable to various loading cases and polygonal membrane structures. Comparison among the results of the finite element analysis, and the experimental and analytical results showed that the proposed model more accurately described the wrinkling details and solved the problem of convergence that is encountered during finite element analysis.

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“…(8). A wrinkle-wave model of a regular polygonal membrane structure can then be obtained as follows:…”

Section: Fig 8 Wrinkle Deformations Calculation After a Rotationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analysis of wrinkled membrane structures based on a wrinkle-wave model

2017

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“…The benchmark of wrinkled membranes that is adopted in References is reproduced. The compressive resistance of material is eliminated by setting the compressive modulus to zero.…”

Section: Numerical Verificationmentioning

confidence: 99%

Analysis of 2‒D bimodular materials and wrinkled membranes based on the parametric variational principle and co‒rotational approach

Zhang

Gao

Zhang

2014

Numerical Meth Engineering

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SUMMARYIn the numerical analysis of 2‒D bimodular materials, strain discontinuity is problematic, and the traditional iterative algorithm is frequently unstable. This paper develops a stable algorithm for the large‒displacement and small‒strain analyses of 2‒D bimodular materials and structures. Geometrically nonlinear formulations are based on the co‒rotational approach. Using the parametric variational principle (PVP), a unified constitutive equation is created to resolve the problem induced by strain discontinuity in the local coordinate system. Because the traditional stress iteration is not required, the local linear stiffness matrix does not need to be updated when computing the global stiffness matrix and the nodal internal force vector. The nonlinear problem is ultimately transformed into a complementarity problem that is simply solved by combing the Newton–Raphson scheme and the mature quadratic programming algorithm. Numerical examples demonstrate that the PVP algorithm presents better convergence behavior than the traditional iterative algorithm. By incorporating the concept of material modification, the new algorithm is also be successfully extended to the wrinkling analysis of thin membranes. Copyright © 2014 John Wiley & Sons, Ltd.

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“…The wrinkle is defined as the elastic response of a membrane due to localized buckling in compressed areas. The wrinkling of membrane structures has been well studied by using the membrane method [3][4][5][6][7][8] based on the tension field theory (TFT), the thin shell method [9][10][11][12][13][14] based on the buckling theory, and the explicit time integrate method [15,16].…”

Section: Introductionmentioning

confidence: 99%

Wrinkle-crease interaction behavior simulation of a rectangular membrane under shearing

Wang

Tan

2011

Acta Mech Sin

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Wrinkling analysis of a rectangular membrane with a single crease under shearing is performed to understand the wrinkle-crease interaction behaviors. The crease is considered by introducing the residual stresses from creasing and the effective modulus into the baseline configuration with assumed circular cross-sectional crease geometry. The wrinkling analysis of the creased membrane is then performed by using the direct perturb-force (DP) simulation technique which is based on our modified displacement components (MDC) method. Results reveal that the crease may influence the stress transfer path in the membrane and further change the wrinkling direction. The crease appears to improve the bending stiffness of the membrane which has an effective resistance on the wrinkling evolution. The effects of the crease orientation on wrinkle-crease interaction are studied toward the end of this paper. The results show that the wrinkling amplitude, wavelength, and direction increase as the crease orientation increases, and the wrinkling number decreases with the increasing crease orientation.

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A wrinkling model based on material modification for isotropic and orthotropic membranes

Cited by 58 publications

References 23 publications

Analysis of wrinkled membrane structures based on a wrinkle-wave model

Analysis of wrinkled membrane structures based on a wrinkle-wave model

Analysis of 2‒D bimodular materials and wrinkled membranes based on the parametric variational principle and co‒rotational approach

Wrinkle-crease interaction behavior simulation of a rectangular membrane under shearing

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