The strain energy and spectral (Shannon) entropy distributions in composite lattices made of core and reinforcement components are investigated by conducting numerical experiments on a set of indefinitely tall lattice strips subjected to a point surface load. The spectral entropy measures the complexity of the strain energy spectrum as it transforms with distance from the loaded surface. The spectral entropy behavior is tailored by adjusting the degree of anisotropy in the lattices. Isotropic continuum-like responses exhibited enhanced spectral entropy decay near the loaded surface and were associated with dispersion of strain energy over a wide spatial area of the lattice. Highly anisotropic responses showed a slow entropy decay at the surface and the localization of strain energy. Interestingly, with sufficient distance from the loaded surface, all lattice designs exhibited the same asymptotic rate of entropy decay, and this rate also was similar to an isotropic continuum material behavior. This implies in practice that any exotic properties of metamaterials determined by their modal selectivity are generally better pronounced in the vicinity of loads, and that they tend to diminish on the periphery of these interesting material systems.

通过在一组承受点表面载荷的无限高的格子条上进行数值实验，研究了由核和增强成分组成的复合格子中的应变能和光谱（Shannon）熵分布。光谱熵测量应变能谱的复杂性，因为应变能谱随着距加载表面的距离的变化而变化。通过调整晶格中的各向异性程度来定制光谱熵行为。各向同性连续体样响应在加载的表面附近表现出增强的光谱熵衰减，并且与晶格的宽空间区域上的应变能的分散相关。高度各向异性的响应显示出表面的熵衰减缓慢以及应变能的局域性。有趣的是，在距加载表面足够的距离的情况下，所有晶格设计都表现出相同的熵衰减渐近速率，并且该速率也与各向同性连续体材料行为相似。这实际上意味着，由超材料的模态选择性决定的超常材料的任何奇异特性通常在载荷附近会更好地表现出来，并且在这些有趣的材料系统的外围会趋于减弱。