A simple computer implementation of membrane wrinkle behaviour via a projection technique
A simple computer implementation of membrane wrinkle behaviour via a projection technique
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DOI：
10.1002/nme.1990
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发表时间：
2007-09
影响因子：
2.9
通讯作者：
T. Akita;Kyoichi Nakashino;M. Natori;Kyung-Duck Park
中科院分区：
文献类型：
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作者：
T. Akita;Kyoichi Nakashino;M. Natori;Kyung-Duck Park
在经典的弹性平面应力本构模型中，给出了膜起皱行为的简单计算机实现。该方法利用投影技术对起皱机理进行建模，将起皱膜中的总应变分解为弹性和零应变能部分，并推导出从总应变中提取弹性部分的投影矩阵。由此得到的表示起皱膜应力应变关系的修正弹性矩阵是经典弹性矩阵与投影矩阵的乘积。修正后的弹性矩阵在有限元方法中易于实现。数值算例验证了该方法的准确性和有效性。版权所有©2007 John Wiley & Sons， Ltd
A simple computer implementation of membrane wrinkle behaviour is presented within the classical elastic plane stress constitutive model. In the present method, a projection technique is utilized for modelling of the wrinkle mechanisms, in which the total strains in wrinkled membranes are decomposed into elastic and zero‐strain energy parts, and 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. The modified elasticity matrix is straightforward to implement within the context of the finite element method. Numerical examples are presented to demonstrate the accuracy and effectiveness of the proposed method. Copyright © 2007 John Wiley & Sons, Ltd.