Non‐ordinary state‐based peridynamics (NOSBPD) has instability issue due to zero‐energy modes during nodal integration. A zero‐energy mode controlling scheme of NOSBPD for laminated composite materials is derived by using the linearized bond‐based peridynamics, which forms a stable force state formulation corresponding to the non‐uniform deformation. The proposed controlling scheme does not include any controlling parameter to avoid the complex parametric adjustment. A critical stretch continuously varying with the angle between fiber and bond directions is further proposed for the failure analysis of laminated composite materials with arbitrary fiber angles. The improved NOSBPD model adopts the explicit integration method to solve static problems. Several numerical examples are conducted to validate the proposed scheme suppressing the oscillation caused by zero‐energy modes.

中文翻译：

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层状复合材料的稳定的基于非常规状态的周边动力学模型

由于节点积分过程中的零能量模式，基于状态的非常规状态动力学（NOSBPD）存在不稳定问题。通过使用基于线性键的周向动力学，得出了复合材料层合板NOSBPD的零能量模式控制方案，该方案形成了对应于非均匀变形的稳定力状态公式。所提出的控制方案不包括任何控制参数以避免复杂的参数调整。进一步提出了随着纤维和粘结方向之间的角度连续变化的临界拉伸，用于任意纤维角度的层压复合材料的破坏分析。改进的NOSBPD模型采用显式集成方法来解决静态问题。