The proceedings of the JSME annual meeting
Online ISSN : 2433-1325
2006.1
Session ID : 2126
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2126 Analysis of Wrinkled Membranes via a Projection Matrix
Takeshi AKITAKyoichi NAKASHINOM.C. NATORI
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CONFERENCE PROCEEDINGS FREE ACCESS

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Abstract
A modeling of wrinkled membranes based on projection operator is presented within the classical membrane theory. The total strains in wrinkled membranes are decomposed into elastic and zero-strain energy parts. A projection matrix that extracts the elastic parts from the total strains is derived. The resulting modified elasticity matrix that represents the stress-strain relations in wrinkled membranes is thus obtained as product of the classical elasticity matrix and the projection matrix. A numerical example is presented to demonstrate the accuracy of the proposed method.
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© 2006 The Japan Society of Mechanical Engineers
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