Recent years have seen the discovery of systems featuring fragile topological states. These states matter lack certain protection attributes typically associated with topology and are therefore characterized by weaker signatures that make them elusive to observe. Moreover, they confined special symmetry classes and, in general, rarely studied context phononic media. In this Letter, we theoretically predict emergence bands spectrum a twisted kagome elastic lattice threefold rotational...

So-called fragile topological states of matter challenge our conventional notion topology by lacking the robustness typically associated with protection, thereby displaying elusive manifestations that are difficult to harness for wave control. In this Letter, we leverage recent discovery in special classes structural kagome lattices document availability domain wall elastic modes directly traceable and, yet, exhibit remarkably strong signatures support omnidirectionality. We design twisted...

The twisted kagome family comprises a spectrum of configurations, that can be realized through the sweep single configurational degree freedom known as twist angle. Recently, it has been shown certain pairs configurations along this are linked by duality transformations and display matching phonon spectra. In work, we introduce an inter-cell connection system spreads lattice in dimension orthogonal to tessellation plane. resulting 3D character allows us entirety angle spectrum, including all...

The twisted kagome family comprises a spectrum of configurations that can be realized through the sweep single configurational degree freedom known as twist angle. Recently, it was shown certain pairs along this were linked by duality transformations and displayed matching phonon spectra. In work, we introduce an intercell-connection system spreads lattice in dimension orthogonal to tessellation plane. resulting three-dimensional character allows us entirety twist-angle spectrum, including...

In Li-ion batteries the interface between nano-size spherical core graphite and its surrounding solid electrolyte interphase (SEI) layer, just inside SEI is susceptible to damage. Thus, accurate determination of associated elastic fields one challenges in optimizing lifetime capacity batteries. The required precision achieved by considering which belongs crystal class D 6 h as homogeneous spherically isotropic layer functionally graded (FG) material. Moreover, account for surface/interface...

So-called fragile topological states of matter challenge our conventional notion topology by lacking the robustness typically associated with protection, thereby displaying elusive manifestations that are difficult to harness for wave control. In this work, we leverage recent discovery in special classes structural kagome lattices document availability domain wall elastic modes directly traceable and, yet, exhibit remarkably robust signatures. We design twisted bi-domains comprising two...

Recent years have seen the discovery of systems featuring fragile topological states. These states matter lack certain protection attributes typically associated with topology and are therefore characterized by weaker signatures that make them elusive to observe. Moreover, they confined special symmetry classes and, in general, rarely studied context phononic media. In this article, we theoretically predict emergence bands spectrum a twisted kagome elastic lattice three-fold rotational...