<p>In this study, a novel peridynamic theory is proposed to predict the deformation and damage behavior of various corrugated sandwich structures. The computational model primarily focuses on the bending and transverse shear characteristics of complex shell structures under external loads, which are mathematically reflected in the micropotential function of PD bonds. A significant feature is that the independent interpolation technique is used for deflection and rotation variables, and the shear stiffness matrix plays an extremely important role in this PD model. As a result, various complex plate and shell structures, including thin plates, moderately thick plates, sandwich panels, etc., can be analyzed within a unified theoretical framework by incorporating appropriate peridynamic in-plane constitutive models. In damage prediction, the critical strain energy density serves as the failure criterion to determine peridynamic bond states (‘intact’ or ‘broken’), enabling quantitative evaluation of structural damage severity. Plate bending analyses (flat/corrugated) under multifarious loading conditions demonstrate the capability of the developed peridynamic model in characterizing the mechanical behavior of complex shell structures, and failure predictions for sandwich configurations further confirm its effectiveness in capturing dynamic fracture evolution processes.</p>

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Failure prediction of corrugated sandwich structures based on peridynamics

  • Xiongwu Yang,
  • Fengshou Li,
  • Chengfeng Tan,
  • Dongsheng Mao,
  • Zhanhui Liu

摘要

In this study, a novel peridynamic theory is proposed to predict the deformation and damage behavior of various corrugated sandwich structures. The computational model primarily focuses on the bending and transverse shear characteristics of complex shell structures under external loads, which are mathematically reflected in the micropotential function of PD bonds. A significant feature is that the independent interpolation technique is used for deflection and rotation variables, and the shear stiffness matrix plays an extremely important role in this PD model. As a result, various complex plate and shell structures, including thin plates, moderately thick plates, sandwich panels, etc., can be analyzed within a unified theoretical framework by incorporating appropriate peridynamic in-plane constitutive models. In damage prediction, the critical strain energy density serves as the failure criterion to determine peridynamic bond states (‘intact’ or ‘broken’), enabling quantitative evaluation of structural damage severity. Plate bending analyses (flat/corrugated) under multifarious loading conditions demonstrate the capability of the developed peridynamic model in characterizing the mechanical behavior of complex shell structures, and failure predictions for sandwich configurations further confirm its effectiveness in capturing dynamic fracture evolution processes.