Solid polymer electrolytes (SPEs) are a key materials component for all‐solid‐state lithium metal batteries (ASSLMBs). In these membrane‐like films, accelerating Li⁺ migration while enhancing the mechanical strength of SPEs is challenging. Herein, we introduce a new concept of supramolecularly organized, cross‐linked polymer electrolyte (PCPE) by mixing an ion‐conducting, multi‐arm boron‐containing oligomer (MBO) solid plasticizer into a polyethylene oxide (PEO)‐lithium salt matrix. Studies reveal that the Lewis acid‐base interaction between the Lewis‐acidic boron sites of MBO and lithium‐salt anions induces an amorphous MBO‐salt assembly subphase with percolating nanochannels for rapid Li⁺ transport. Meanwhile, due to the structural compatibility of the multiple linear arms of MBO with PEO, a supramolecular polymer network is obtained which partly crystallizes around the ionic nanodomains, offering an PCPE with improved mechanical strength hosting interconnected ion transport pathways. The resulting PCPE shows simultaneously enhanced ionic conductivity, improved mechanical properties, and film interface stability, which enable a dendrite‐free Li/Li symmetric cell which could be cycled over 2600 h. Excellent electrochemical performance is also demonstrated in a close‐to‐practical high capacity ASSLMBs.

An elliptical inclusion embedded in an infinite 1D hexagonal piezoelectric quasicrystal matrix is analysed in the framework of linear piezoelasticity of quasicrystals. Using the technique of conformal mapping, the closed-form solutions of the complex potentials, all the field quantities in the matrix and the inclusion are obtained under far-field antiplane mechanical loads of the phonon and phason fields and an inplane electrical load. Several special cases, such as a homogeneous material, a soft and permeable inclusion, an impermeable inclusion, a line inclusion, a rigid inclusion and a crack are reduced by the present results. Some numerical examples are provided to shows the variations of the stresses of the phonon and phason fields and the electric field with the shape of hole/inclusion, the dielectric permittivity and the distance from the hole/inclusion.

A three-phase cylinder model (inclusion/matrix/composite) is proposed and analyzed for one-dimensional (1D) piezoelectric quasi-crystal composites. The exact closed-form solutions of the stresses of the phonon and phason fields and the electric field are derived under far-field antiplane mechanical and in-plane electric loadings via the Laurent expansion technique. Numerical results show that the thickness and material properties of the interphase layer can significantly affect the induced fields in the inclusion and interphase layer. Furthermore, the generalized self-consistent method is applied to predict analytically the effective moduli of the piezoelectric quasi-crystal composites. It is observed from the numerical examples that the effective moduli of piezoelectric quasi-crystal composites are very sensitive to the fiber volume fraction as well as to the individual material properties of the fiber and matrix. By comparing QC/PE with QC1/QC2, PE/QC, and PZT-7/epoxy, we found that using QC as fiber could, in general, enhance the effective properties, a conclusion which is in agreement with the recent experimental results.

A mathematical model for nonlocal vibration and buckling of embedded two-dimensional (2D) decagonal quasicrystal (QC) layered nanoplates is proposed. The Pasternak-type foundation is used to simulate the interaction between the nanoplates and the elastic medium. The exact solutions of the nonlocal vibration frequency and buckling critical load of the 2D decagonal QC layered nanoplates are obtained by solving the eigensystem and using the propagator matrix method. The present three-dimensional (3D) exact solution can predict correctly the nature frequencies and critical loads of the nanoplates as compared with previous thin-plate and medium-thick-plate theories. Numerical examples are provided to display the effects of the quasiperiodic direction, length-to-width ratio, thickness of the nanoplates, nonlocal parameter, stacking sequence, and medium elasticity on the vibration frequency and critical buckling load of the 2D decagonal QC nanoplates. The results show that the effects of the quasiperiodic direction on the vibration frequency and critical buckling load depend on the length-to-width ratio of the nanoplates. The thickness of the nanoplate and the elasticity of the surrounding medium can be adjusted for optimal frequency and critical buckling load of the nanoplate. This feature is useful since the frequency and critical buckling load of the 2D decagonal QCs as coating materials of plate structures can now be tuned as one desire.