Abstract
AbstractIn 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.
Highlights
A novel parameter determination technique is developed for material models in continuum mechanics aimed at describing metamaterials
A 3D micro-scale continuum model is implemented on a pantographic structure, and it is solved numerically in the FEniCS platform
A macro-scale homogenized model is employed for modeling the same structure, and the constitutive parameters of this model are identified by developing an automatized process by means of Finite Element Method (FEM) computations and an optimization problem
Summary
A novel parameter determination technique is developed for material models in continuum mechanics aimed at describing metamaterials. An efficient solution method is using generalized continuum mechanics [8], i.e., including second or higher gradients of displacement in the model, and having additional material parameters than the classical theories [9, 10] In this approach, we do not need to consider the detailed geometry of the structure. In [74], a numerical identification is performed to fit the parameters of the macro model of planar pantographic structures, where the total stored strain energy and two angles in the structure are considered
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
