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论文arXiv 2610.2113013 天前

不连续属性机械超材料：不连续晶格动力学框架 ​

该工作面向不连续晶格系统，提出DPMM并以几何正则化扩展带理论，在响应分析和概念验证实验中验证。

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原文链接：Discontinuous-Property Mechanical Metamaterials: A Framework for Discontinuous Lattice Dynamics（arXiv 2610.21130 · 发布日期：2026-10-15）

Discontinuous-Property Mechanical Metamaterials: A Framework for Discontinuous Lattice Dynamics

该工作面向不连续晶格系统，提出DPMM并以几何正则化扩展带理论，在响应分析和概念验证实验中验证。

核心要点 ​

  • 不连续性是非线性的极限形式，常见于宏观连续体系统。
  • 提出DPMM概念，并通过几何正则化将带理论扩展到互补约束系统。
  • 分析静态、模态和瞬态响应，验证不连续刚度、泊松比及非线性波混合和模态转换。
  • 概念验证实验展示了实现DPMM的实际可行性。

验证范围与局限：验证范围限于DPMM的静态、模态、瞬态响应分析及概念验证实验。

英文摘要 (Abstract) ​

Discontinuity, as the extreme limit of nonlinearity, is common in macroscopic continuum systems. This work introduces discontinuous-property mechanical metamaterials (DPMMs) as a prototype for establishing a geometric-mechanics framework for discontinuous lattice systems. We extend band theory to systems with complementary constraints through geometric regularization and analyze modal discontinuities. By analyzing its static, modal, and transient responses, we validated discontinuous stiffness and Poisson's ratio, alongside intense nonlinear wave mixing and mode conversion. A proof-of-concept experiment demonstrates the practical feasibility of implementing DPMMs. This work characterizes discontinuous lattice systems through the intuitive DPMM concept and provides a practical framework to harness sharp transitions in mechanical metamaterials for nonlinear wave manipulation.

作者：Lihong Ao, Aymeric Ramière

来源

本页事实对应的公开页面，以原文为准。

  1. arXiv 2610.21130：Discontinuous-Property Mechanical Metamaterials: A Framework for Discontinuous Lattice Dynamics访问 2026-10-21