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Delamination growth in buckled composite struts

机译:弯曲复合材料支杆的分层增长

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摘要

Existing analytical models dealing with buckling and postbuckling phenomena of delaminated composites comprise one limitation: the restriction to stationary delaminations. In the current work, an analytical framework is presented which allows to model the postbuckling response of composites without such limitation. Therefore, the well-known problem of a composite strut with a through-the-width delamination is studied. The system is fully described by a set of I generalized coordinates. The postbuckling response for a stationary delamination is modelled using the conventional total potential energy approach. The postbuckling response for a non-stationary delamination, i.e. once delamination growth occurs, is modelled using an extended total potential energy functional in which the delamination length is expressed by the generalized coordinates and the load parameters. By solving the underlying variational principle the postbuckling response is obtained. Implementing the Rayleigh-Ritz method yields a set of non-linear algebraic equations which is solved numerically. Postbuckling responses for a cross-ply laminate are provided until the strut fails. Depending on delamination depth and length additional load bearing capacities of such composite struts are documented before failure due to unstable delamination growth occurs.
机译:处理分层复合材料的屈曲和后屈曲现象的现有分析模型存在一个局限性:对固定分层的限制。在当前的工作中,提出了一个分析框架,该框架允许对复合材料的屈曲后响应进行建模,而没有这种限制。因此,研究了具有整个宽度分层的复合支柱的众所周知的问题。该系统由一组I广义坐标完全描述。使用常规的总势能方法对固定分层的屈曲后响应进行建模。非平稳分层的屈曲后响应,即一旦分层增长发生,使用扩展的总势能函数进行建模,其中分层长度由广义坐标和载荷参数表示。通过解决基本的变分原理,可以获得屈曲后响应。实施Rayleigh-Ritz方法可产生一组非线性代数方程,可对其进行数值求解。提供了交叉层压板的屈曲后响应,直到支柱失效。根据分层深度和长度,在由于不稳定的分层增长而导致的失效之前,会记录此类复合支柱的额外承载能力。

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