Laboratoire de Physique Statistique, Ecole Normale Supérieure, UPMC Paris 6, Université Paris Diderot, CNRS, 24 rue Lhomond, 75005 Paris, France.
Physique et Mécanique des Milieux Hetérogènes, ESPCI ParisTech, UPMC Paris 6, Université Paris Diderot, CNRS, 10 rue Vauquelin, 75005 Paris, France.
Phys Rev Lett. 2014 Jun 20;112(24):244301. doi: 10.1103/PhysRevLett.112.244301.
We investigate the mechanics of thin sheets decorated by noninteracting creases. The system considered here consists of parallel folds connected by elastic panels. We show that the mechanical response of the creased structure is twofold, depending both on the bending deformation of the panels and the hingelike intrinsic response of the crease. We show that a characteristic length scale, defined by the ratio of bending to hinge energies, governs whether the structure's response consists in angle opening or panel bending when a small load is applied. The existence of this length scale is a building block for future works on origami mechanics.
我们研究了由非相互作用的折痕装饰的薄片的力学。这里考虑的系统由通过弹性面板连接的平行褶皱组成。我们表明，褶皱结构的力学响应是双重的，既取决于面板的弯曲变形，也取决于折痕的铰链状固有响应。我们表明，当施加小载荷时，由弯曲与铰链能量之比定义的特征长度尺度决定了结构的响应是角度张开还是面板弯曲。这个长度尺度的存在是未来折纸力学研究的基础。
