Inverse-based multi-step numerical homogenization for mechanical characterization of converted corrugated board

IF 7.1 2区 材料科学 Q1 MATERIALS SCIENCE, COMPOSITES
Tomasz Garbowski , Aram Cornaggia , Tomasz Gajewski , Jakub K. Grabski , Damian Mrówczyński
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引用次数: 0

Abstract

This paper presents a two-step inverse-based numerical homogenization framework for the mechanical characterization of converted corrugated board. The methodology combines high-fidelity 3D simulations with global plate modeling, enabling the extraction of homogenized stiffness parameters that account for imperfections such as fluting flattening and local degradation of paper properties during converting processes. In the first step, a 3D finite element model of a corrugated structure is perturbed to simulate realistic imperfections. The mechanical response is computed for multiple loading conditions. A simplified homogenized plate model is then calibrated using inverse optimization to match the 3D response, resulting in an identified plane stress membrane, bending and shear components known from the standard plate and shell theories of orthotropic materials In the second step, these reference stiffness values are used to inversely identify the geometric and material parameters of the constituent layers. The design variables include fluting geometry and the thickness and orthotropic elastic properties of each paper layer. The optimization reveals which parameters have the strongest influence on global behavior, offering insights into process sensitivity. The proposed method provides a robust and efficient path from microstructural features to global mechanical performance, suitable for design and quality control in industrial packaging applications. The framework may also be extended using neural networks for rapid estimation, enabling integration into broader simulation pipelines.
转换瓦楞纸板力学特性的反基多步数值均匀化
本文提出了一种两步反基数值均匀化框架,用于转换瓦楞纸板的力学特性。该方法将高保真3D模拟与全局板建模相结合,能够提取均匀化的刚度参数,这些参数可以解释在转换过程中出现的凹槽扁化和纸张性能的局部退化等缺陷。首先,对波纹结构的三维有限元模型进行扰动以模拟实际缺陷。计算了多种加载条件下的力学响应。然后,通过反向优化对简化的均质板模型进行校准,以匹配三维响应,从而识别出正交异性材料标准板壳理论中已知的平面应力膜、弯曲和剪切分量。第二步,使用这些参考刚度值对组成层的几何和材料参数进行反向识别。设计变量包括凹槽几何形状、每层纸的厚度和正交异性弹性性能。优化揭示了哪些参数对全局行为的影响最大,提供了对过程敏感性的见解。提出的方法提供了从微观结构特征到整体机械性能的鲁棒和有效的路径,适用于工业包装应用的设计和质量控制。该框架还可以使用神经网络进行扩展,以进行快速估计,从而集成到更广泛的模拟管道中。
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来源期刊
Composite Structures
Composite Structures 工程技术-材料科学:复合
CiteScore
12.00
自引率
12.70%
发文量
1246
审稿时长
78 days
期刊介绍: The past few decades have seen outstanding advances in the use of composite materials in structural applications. There can be little doubt that, within engineering circles, composites have revolutionised traditional design concepts and made possible an unparalleled range of new and exciting possibilities as viable materials for construction. Composite Structures, an International Journal, disseminates knowledge between users, manufacturers, designers and researchers involved in structures or structural components manufactured using composite materials. The journal publishes papers which contribute to knowledge in the use of composite materials in engineering structures. Papers deal with design, research and development studies, experimental investigations, theoretical analysis and fabrication techniques relevant to the application of composites in load-bearing components for assemblies, ranging from individual components such as plates and shells to complete composite structures.
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