Wrinkling instabilities occur when a stiff thin film bonded to an elastic substrate undergoes compression. Regardless of the nature of compression, this phenomenon has been extensively studied through local models based on classical continuum mechanics. However, the experimental behavior is not yet fully understood and the influence of nonlocal effects remains largely unexplored. The objective of this paper is to fill this gap from a computational perspective by investigating nonlocal wrinkling instabilities in a bilayered system. Peridynamics (PD), a nonlocal continuum formulation, serves as a tool to model nonlocal material behavior. This manuscript presents a methodology to precisely predict the critical conditions by employing an eigenvalue analysis. Our results approach the local solution when the nonlocality parameter, the horizon size, approaches zero. An experimentally observed influence of the boundaries on the wave pattern is reproduced with PD simulations which suggests nonlocal material behavior as a physical origin. The results suggest that the level of nonlocality of a material model has quantitative influence on the main wrinkling characteristics, while most trends qualitatively coincide with predictions from the local analytical solution. However, a relation between the film thickness and the critical compression is revealed that is not existent in the local theory. Moreover, an approach to determine the peridynamic material parameters across a material interface is established by introducing an interface weighting factor. This paper, for the first time, shows that adding a nonlocal perspective to the analysis of bilayer wrinkling by using PD can significantly advance our understanding of the phenomenon.

当粘合到弹性基材上的坚硬薄膜受到压缩时，会出现起皱不稳定性。不管压缩的性质如何，已经通过基于经典连续介质力学的局部模型对这种现象进行了广泛的研究。然而，实验行为尚未完全了解，非局部效应的影响在很大程度上仍未得到探索。本文的目的是通过研究双层系统中的非局部起皱不稳定性，从计算的角度填补这一空白。近场动力学 (PD) 是一种非局部连续介质公式，可用作模拟非局部材料行为的工具。这份手稿提出了一种通过使用特征值分析来精确预测临界条件的方法。当非局部性参数、地平线大小、接近于零。用 PD 模拟再现了实验观察到的边界对波形的影响，这表明非局部材料行为是物理起源。结果表明，材料模型的非局部性水平对主要起皱特征具有定量影响，而大多数趋势在定性上与局部解析解的预测一致。然而，揭示了薄膜厚度和临界压缩之间的关系，这在局部理论中是不存在的。此外，通过引入界面权重因子建立了一种确定跨材料界面的近场动力学材料参数的方法。这篇论文，第一次，