Cost-effective and accurate interlaminar stress modeling of composite Kirchhoff plates via immersed isogeometric analysis and equilibrium

IF 1.5 4区 工程技术 Q3 MECHANICS
A. Patton, M. Carraturo, F. Auricchio, A. Reali
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引用次数: 2

Abstract

The interest for composites has constantly grown in recent years, especially in the aerospace and automotive industries, as they can be moulded in complex form and geometry, as well as exhibit enhanced engineering properties. Nevertheless, despite the accelerated diffusion of laminated composites, the design of these materials is often restrained by the lack of cost-effective modeling techniques. In fact, the existing numerical strategies allowing for cheap simulations of laminated structures usually fail to directly capture out-of-plane through-the-thickness stresses, which are typically responsible for failure modes such as delamination. In this context, a stress recovery approach based on equilibrium has been recently shown to be an efficient modeling strategy in the framework of isogeometric analysis. Since immersed approaches like the finite cell method have been proven to be a viable alternative to mesh-conforming discretization for dealing with complex/dirty geometries as well as trimmed surfaces, we herein propose to extend the stress recovery approach combining the finite cell method, isogeometric analysis and equilibrium to model the out-of-plane behavior of Kirchhoff laminated plates. Extensive numerical tests showcase the effectiveness of the proposed approach.
基于浸没等高几何分析和平衡的复合材料基尔霍夫板层间应力建模
近年来,人们对复合材料的兴趣不断增长,特别是在航空航天和汽车行业,因为复合材料可以被塑造成复杂的形状和几何形状,并表现出增强的工程性能。然而,尽管层压复合材料的扩散速度加快,但这些材料的设计往往受到缺乏成本效益的建模技术的限制。事实上,现有的数值策略允许对层合结构进行廉价的模拟,通常不能直接捕获面外穿过厚度的应力,这通常是导致分层等破坏模式的原因。在这种情况下,基于平衡的应力恢复方法最近被证明是等几何分析框架中的一种有效的建模策略。由于浸入式方法,如有限单元法,已被证明是一种可行的替代网格一致性离散化处理复杂/肮脏的几何形状,以及切边表面,我们在此提出扩展应力恢复方法,结合有限单元法,等几何分析和平衡来模拟基尔霍夫层合板的面外行为。大量的数值试验表明了该方法的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Journal of Mechanics
Journal of Mechanics 物理-力学
CiteScore
3.20
自引率
11.80%
发文量
20
审稿时长
6 months
期刊介绍: The objective of the Journal of Mechanics is to provide an international forum to foster exchange of ideas among mechanics communities in different parts of world. The Journal of Mechanics publishes original research in all fields of theoretical and applied mechanics. The Journal especially welcomes papers that are related to recent technological advances. The contributions, which may be analytical, experimental or numerical, should be of significance to the progress of mechanics. Papers which are merely illustrations of established principles and procedures will generally not be accepted. Reports that are of technical interest are published as short articles. Review articles are published only by invitation.
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