Pimprikar, NA and Banerjee, B and Roy, D and Vasu, RM and Reid, SR (2010) New computational approaches for wrinkled and slack membranes. In: International Journal of Solids and Structures, 47 (18-19). pp. 2476-2486.
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The static response of thin, wrinkled membranes is studied using both a tension field approximation based on plane stress conditions and a 3D nonlinear elasticityformulation, discretized through 8-noded Cosserat point elements. While the tension field approach only obtains the wrinkled/slack regions and at best a measure of the extent of wrinkliness, the 3D elasticity solution provides, in principle, the deformed shape of a wrinkled/slack membrane. However, since membranes barely resist compression, the discretized and linearized system equations via both the approaches are ill-conditioned and solutions could thus be sensitive to discretizations errors as well as other sources of noises/imperfections. We propose a regularized, pseudo-dynamical recursion scheme that provides a sequence of updates, which are almost insensitive to theregularizing term as well as the time step size used for integrating the pseudo-dynamical form. This is borne out through several numerical examples wherein the relative performance of the proposed recursion scheme vis-a-vis a regularized Newton strategy is compared. The pseudo-time marching strategy, when implemented using 3D Cosserat point elements, also provides a computationally cheaper, numerically accurate and simpler alternative to that using geometrically exact shell theories for computing large deformations of membranes in the presence of wrinkles. (C) 2010 Elsevier Ltd. All rights reserved.
|Item Type:||Journal Article|
|Additional Information:||Copyright of this article belongs to Elsevier Science.|
|Keywords:||Membrane wrinkling;Tension field approximation;3D Nonlinear elasticity;Cosserat points;Pseudo-dynamical recursion.|
|Department/Centre:||Division of Mechanical Sciences > Civil Engineering|
|Date Deposited:||18 Aug 2010 11:16|
|Last Modified:||19 Sep 2010 06:14|
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