论文标题
训练非线性弹性函数：非单调，序列依赖性和分叉
Training nonlinear elastic functions: nonmonotonic, sequence dependent and bifurcating
论文作者
论文摘要
根据定义，在线性状态下运行的材料的弹性行为被限制在施加的变形中线性的操作。尽管非线性制度对新功能有希望，但该制度中的设计具有挑战性。在本文中，我们证明了基于培训的最新方法[Hexner等，PNAS 2020，201922847]允许固有非线性的响应。通过应用设计器菌株，无序固体通过改变其响应的塑性变形而演变。我们显示了导致以下功能的精细非线性训练路径的示例：（1）频率转换（2）逻辑门和（3）沿一个轴的膨胀或收缩，具体取决于施加的横向压缩的顺序。我们研究收敛速率，发现它取决于训练的功能。
The elastic behavior of materials operating in the linear regime is constrained, by definition, to operations that are linear in the imposed deformation. Though the nonlinear regime holds promise for new functionality, the design in this regime is challenging. In this paper we demonstrate that a recent approach based on training [Hexner et al., PNAS 2020, 201922847] allows responses that are inherently non-linear. By applying designer strains, a disordered solids evolves through plastic deformations that alter its response. We show examples of elaborate nonlinear training paths that lead to the following functions: (1) Frequency conversion (2) Logic gate and (3) Expansion or contraction along one axis, depending on the sequence of imposed transverse compressions. We study the convergence rate and find that it depends on the trained function.
