On Micropolar Elastic Foundations and Architected Interfaces

Abstract

We will tackle the task of modelling heterogeneous and architected materials, necessitating advanced homogenisation techniques. In simplifying this challenge, we leverage micropolar elasticity. Simultaneously, elastic foundation theory is widely applied in fracture mechanics and delamination analysis of composite materials. The objective is to seamlessly integrate these frameworks, refining elastic foundation theory to accommodate materials exhibiting micropolar behaviour. Our elastic foundation theory for micropolar materials employs a stress potentials formulation, leading to closed-form solutions for stress and couple stress reactions, including the associated restoring stiffness. Additionally, we delve into the mechanical properties of conceptual structural adhesive joints, where the adhesive function is assumed by an architected interface. Diverging from isotropic interfaces, architected interfaces exert control over properties through tailored microstructures. To augment existing theoretical frameworks, we introduce our elastic foundation theory, encompassing emerging micromechanical effects. Illustrating how characteristic lengths govern the Mode I fracture behaviour of architected interfaces, we assert control over the fracture process zone size. Our findings, validated through numerical simulations, underscore the effectiveness of the proposed method.