Continuum Approach to Shape Sensitivity Analysis in Composite Laminates

IF 2 4区 材料科学 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY
Giuseppe Maurizio Gagliardi, Mandar D. Kulkarni, Francesco Marulo
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引用次数: 0

Abstract

Sensitivity analysis is essential for understanding how changes in design variables affect system performance. Numerical methods for calculating sensitivities, such as finite difference methods, are often easy to implement but can suffer from high computational costs and limited accuracy. Continuum Sensitivity Analysis (CSA) is an alternative approach for calculating analytical derivatives with respect to shape or value parameters. It is easy to implement and can be as accurate as conventional analytical sensitivity methods. By employing Spatial Gradient Reconstruction (SGR), continuous sensitivity equations can be solved in a nonintrusive manner. This method has been applied and validated on a wide range of problems. This work aims to extend the range of applicability of CSA to composite laminates. Composite materials may be characterized by several cross-coupling between loads and deformations, which leads to complex stress fields. A general formulation is introduced that applies to any plate-discretized Finite Element (FE) problem. The developed methodology utilizes the plate elements’ resultant forces and moments instead of the stresses to reconstruct spatial gradients and apply boundary conditions. Because of that, the method does not depend on the material type or lamination sequence and is also computationally inexpensive. It can be used indifferently for isotropic or composite materials, with any lamination sequence. This feature makes CSA attractive for classical FE models used in design optimization problems. This novelty extends the range applicability of CSA to any possible plate-based structural problem.

复合材料层合板形状敏感性分析的连续统方法
敏感性分析对于理解设计变量的变化如何影响系统性能至关重要。计算灵敏度的数值方法,如有限差分法,通常容易实现,但计算成本高,精度有限。连续统灵敏度分析(CSA)是计算有关形状或值参数的解析导数的另一种方法。该方法易于实现,与传统的分析灵敏度方法一样准确。利用空间梯度重建(SGR)方法,可以以非侵入的方式求解连续灵敏度方程。该方法已在广泛的问题上得到了应用和验证。本工作旨在将CSA的适用范围扩展到复合层压板。复合材料具有载荷与变形之间多重交叉耦合的特点,从而导致了复杂的应力场。介绍了适用于任何板离散有限元问题的一般公式。所开发的方法利用板单元的合力和力矩而不是应力来重建空间梯度并应用边界条件。因此,该方法不依赖于材料类型或层压顺序,并且在计算上也便宜。可用于各向同性或复合材料,任何层压顺序。这一特点使得CSA对用于设计优化问题的经典有限元模型具有吸引力。这种新颖扩展了CSA的适用范围,适用于任何可能的基于板的结构问题。
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来源期刊
Journal of Materials Engineering and Performance
Journal of Materials Engineering and Performance 工程技术-材料科学:综合
CiteScore
3.90
自引率
13.00%
发文量
1120
审稿时长
4.9 months
期刊介绍: ASM International''s Journal of Materials Engineering and Performance focuses on solving day-to-day engineering challenges, particularly those involving components for larger systems. The journal presents a clear understanding of relationships between materials selection, processing, applications and performance. The Journal of Materials Engineering covers all aspects of materials selection, design, processing, characterization and evaluation, including how to improve materials properties through processes and process control of casting, forming, heat treating, surface modification and coating, and fabrication. Testing and characterization (including mechanical and physical tests, NDE, metallography, failure analysis, corrosion resistance, chemical analysis, surface characterization, and microanalysis of surfaces, features and fractures), and industrial performance measurement are also covered
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