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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >Free-Form Deformation Digital Image Correlation (FFD-DIC): A non-invasive spline regularization for arbitrary finite element measurements
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Free-Form Deformation Digital Image Correlation (FFD-DIC): A non-invasive spline regularization for arbitrary finite element measurements

机译：自由形式变形数字图像相关（FFD-DIC）：任意有限元测量的非侵入式花键正则化

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Regularizing Finite-Element Digital Image Correlation (FE-DIC) problems is essential when using fine meshes, for instance to get a direct bridge with simulation tools or in view of performing data assimilation. Shape optimization brings comparable concerns so it is proposed to draw inspiration from this field of research. In this respect, a new general spline-based non-invasive regularization scheme is proposed, based on the Free-Form Deformation (FFD) concept that offers the opportunity to decouple the design space from that of the actual geometry to be updated. The main idea is to embed the input FE mesh, with any element type or size, into a simple cuboid B-spline box and to relate the nodal FE dof of the measured field to another more regular field discretized by the box. The regularization length is thus directly driven by the box refinement. A specific care is taken to handle possible conditioning problems caused by non-influential control points. From a practical point of view, the method can be interpreted as a projection on a reduced basis; therefore, it results in a regularized but conventional FE measured field which can be simply computed from a standard FE-DIC code. The developed scheme is applied for FE displacement measurement using DIC and for mesh-based measurement in stereo-DIC. For the latter, a novel procedure based on additional projections over local directions complements the FFD method for full efficiency. The performance of the strategy is assessed on real images coming from various experimental tests and comparisons are made with other published techniques to prove its effectiveness. (C) 2021 Elsevier B.V. All rights reserved.
机译：正常化有限元数字图像相关（FE-DIC）问题在使用细网格时是必不可少的，例如要使用仿真工具或执行数据同化的直接桥梁。形状优化带来了可比的问题，因此提出了从该研究领域吸取的灵感。在这方面，提出了一种基于自由形式变形（FFD）概念的新的基于样条状的非侵入性正则化方案，该概念提供了从要更新的实际几何形状中解耦设计空间的机会。主要思想是将输入FE网格，任何元素类型或大小嵌入到简单的长方体B样条盒中，并将测量的字段的节点FE DOF与盒子离散化的另一个常规字段。因此，正则化长度由盒子细化直接驱动。采取特定护理以处理非影响控制点引起的可能调理问题。从实际的角度来看，该方法可以减少解释为投影;因此，它导致正常化但传统的FE测量字段，其可以简单地从标准FE-DIC代码计算。开发方案用于使用DIC和在立体DIC中进行网状测量的Fe位移测量。对于后者，基于局部方向上的附加投影的新型程序补充了FFD方法以实现全面效率。对来自各种实验测试的真实图像评估了该策略的性能，并且使用其他公开的技术进行了比较，以证明其有效性。 （c）2021 elestvier b.v.保留所有权利。

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