Inverse analysis of metamaterials and parameter determination by means of an automatized optimization problem,ZAMM - Journal of Applied Mathematics and Mechanics

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Inverse analysis of metamaterials and parameter determination by means of an automatized optimization problem
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2021-01-08 , DOI: 10.1002/zamm.202000277
Navid Shekarchizadeh ₁ , Bilen Emek Abali _{2,

3} , Emilio Barchiesi ₄ , Alberto Maria Bersani ₅

Affiliation

In this paper, a novel parameter determination technique is developed for material models in continuum mechanics aimed at describing metamaterials. Owing to their peculiar mechanical properties and behaviors, such as extreme elasticity or high strength-to-weight ratio, metamaterials are of interest to be simulated by reduced-order modeling by means of the generalized mechanics. Such models incorporate constitutive parameters to be determined; we develop an automatized optimization process specifically for obtaining metamaterials parameters. The process aims at minimizing a mechanically meaningful error function measuring the deviation of the continuum from a detailed description by using the Trust Region Reflective optimization method. The parameter identification procedure is tested for an exemplary extension experiment of a metamaterial, proving to be robust and reliable.

中文翻译：

通过自动化优化问题对超材料进行逆向分析和参数确定

在本文中，针对连续介质力学中的材料模型开发了一种新的参数确定技术，旨在描述超材料。由于其特殊的机械性能和行为，例如极端弹性或高强度重量比，超材料很有趣，可以通过广义力学通过降阶建模进行模拟。此类模型包含要确定的本构参数；我们开发了专门用于获取超材料参数的自动化优化过程。该过程旨在通过使用信任区域反射优化方法来最小化机械上有意义的误差函数，该函数用于测量连续体与详细描述的偏差。参数识别程序针对超材料的示例性延伸实验进行了测试，

更新日期：2021-01-08

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