增量钻孔全耦合积分法的提霍诺夫正则化

IF 2 3区工程技术 Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING

Experimental Mechanics Pub Date : 2024-01-24 DOI:10.1007/s11340-023-01020-2

T. C. Smit, R.G. Reid

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引用次数: 0

摘要

摘要背景单位脉冲积分法广泛应用于增量钻孔残余应力测量技术。ASTM E837 标准仅适用于各向同性材料，该标准建议使用 Tikhonov 正则化来降低使用多个深度增量时的不稳定性。在目前的表述中，Tikhonov 正则化要求应力解耦，这对于各向同性材料是可行的。层状复合材料层板的残余应力测定需要全耦合积分法，目前采用的是无 Tikhonov 正则化方法。这种方法对测量误差的敏感度较高，因此应力不确定性较大。对于双轴复合材料，有一种应用 Tikhonov 正则化的近似方法，但不适用于更复杂的层压板。目标将 Tikhonov 正则化扩展到全耦合积分法，以改进复合材料层压板中残余应力的测定。方法本文研究了近似正则化方法和全耦合正则化方法在 [+45/-45/0/90]s 结构的角层复合材料层压板中的应用。同时还介绍了[0/+45/90/-45]s 层压板的实验验证，将正则化完全耦合积分法与在最小二乘法求解中同时包含所有面内应力和应变方向的序列展开法进行了比较。结果正则化积分法得出的结果与序列展开法相当，但计算顺应性所需的 FE 计算量减少了 12 倍。与数列展开法所需的数列阶数最佳组合相比，正则化的最佳程度也更容易确定。结论新方法易于应用，可广泛用于测量复合材料层压板中的残余应力。

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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Tikhonov Regularization for the Fully Coupled Integral Method of Incremental Hole-Drilling

Background

The unit pulse integral method is used extensively with the incremental hole-drilling residual stress measurement technique. The ASTM E837 standard, which applies only to isotropic materials, recommends the use of Tikhonov regularization to reduce instability when many depth increments are used. In its current formulation, Tikhonov regularization requires the decoupling of stress, as is possible for isotropic materials. The fully coupled integral method is needed for residual stress determination in layered composite laminates and is currently employed without Tikhonov regularization. This causes greater sensitivity to measurement errors and consequently large stress uncertainties. An approximate method of applying Tikhonov regularization exists for biaxial composites, but is not applicable to more complex laminates.

Objective

Extend Tikhonov regularization to the fully coupled integral method to improve residual stress determination in composite laminates.

Methods

This work investigates the use of the approximate and fully coupled regularization approaches in an angle ply composite laminate of [+45/-45/0/90]_s construction. Experimental validation in a [0/+45/90/-45]_s laminate is also presented where the regularized fully coupled integral method is compared to the series expansion method that includes all in-plane stress and strain directions simultaneously in a least-squares solution.

Results

The regularized integral method produces comparable results to those of series expansion while requiring twelve times less FE computation to calculate the compliances. The optimal degree of regularization is also more convenient to determine than the optimal combination of series order required by series expansion.

Conclusions

The new method is easily applied and should find wide application in the measurement of residual stresses in composite laminates.

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来源期刊

Experimental Mechanics 物理-材料科学：表征与测试

CiteScore

4.40

自引率

16.70%

发文量

111

审稿时长

3 months

期刊介绍： Experimental Mechanics is the official journal of the Society for Experimental Mechanics that publishes papers in all areas of experimentation including its theoretical and computational analysis. The journal covers research in design and implementation of novel or improved experiments to characterize materials, structures and systems. Articles extending the frontiers of experimental mechanics at large and small scales are particularly welcome. Coverage extends from research in solid and fluids mechanics to fields at the intersection of disciplines including physics, chemistry and biology. Development of new devices and technologies for metrology applications in a wide range of industrial sectors (e.g., manufacturing, high-performance materials, aerospace, information technology, medicine, energy and environmental technologies) is also covered.