Abstract
Architectural transformations play a key role in the evolution of complex systems, from design algorithms for metamaterials to flow and plasticity of disordered media. Here, we develop a general framework for the evolution of the linear mechanical response of network structures under discrete architectural transformations via sequential bond swapping: the removal and addition of elastic elements. We focus on a class of spatially complex metamaterials, consisting of triangular building blocks. Rotations of these building blocks, corresponding to removing and adding elastic elements, introduce (topological) architectural defects. We show that the metamaterials’ states of self stress play a crucial role in the mechanical response, and that the mutually exclusive self stress states between two different network architectures span the difference in their mechanical response. For our class of metamaterials, we identify a localized representation of these states of self stress, which allows us to capture the evolving response. We use our insights to understand the unusual stress-steering behaviour of topological defects.
Highlights
The unique properties of mechanical metamaterials emerge from the assembly of simple structural building blocks connected by local interactions
We show that the metamaterials’ states of self stress play a crucial role in the mechanical response, and that the mutually exclusive self stress states between two different network architectures span the difference in their mechanical response
We present our non-periodic compatible mechanical metamaterials, consisting of stacked anisotropic building blocks that can deform in harmony [19], and in which the SS-space can be represented as a set of localized states
Summary
Any further distribution of Architectural transformations play a key role in the evolution of complex systems, from design this work must maintain algorithms for metamaterials to flow and plasticity of disordered media. We develop a general attribution to the author(s) and the title of framework for the evolution of the linear mechanical response of network structures under discrete the work, journal citation and DOI. Architectural transformations via sequential bond swapping: the removal and addition of elastic elements. We focus on a class of spatially complex metamaterials, consisting of triangular building blocks. Rotations of these building blocks, corresponding to removing and adding elastic elements, introduce (topological) architectural defects.
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