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<p>In recent years, the peridynamic (PD) theory based on integro-differential equations has extensively been adopted in predicting failure and fracture behaviors. However, the computation of all interactions between material particles within a specified region in PD leads to lower computational efficiency. A coupling methodology for ordinary state-based PD solid and FEM solid/shell models based on Nitsche’s method is proposed in this study to enable mixed-dimensional modeling involving discontinuities. In the proposed coupling approach, PD solid and FEM solid/shell models address damaged and intact zones of thin-walled structures, respectively. This coupling strategy is capable of effectively capturing detailed structural and fracture responses while simultaneously minimizing the number of discrete particles. Several numerical examples are presented to examine the capabilities of the proposed mixed-dimensional PD-FEM coupling model. Based on the comparisons of displacements and crack opening displacements, the proposed coupling approach can accurately reproduce structural and fracture responses of solid-shell structures with maximum numerical errors of approximately 1.0<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\%\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>%</mo> </math></EquationSource> </InlineEquation> and 4.0<InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\%\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>%</mo> </math></EquationSource> </InlineEquation>, respectively, while requiring less computational time.</p>

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A mixed-dimensional PD-FEM coupling model for solid-shell structures involving discontinuities

  • 期刊论文

  • 发表日期：

    2025年4月12日

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  • Ming-Jyun Dai,
  • Hung-Jen Chou

摘要

In recent years, the peridynamic (PD) theory based on integro-differential equations has extensively been adopted in predicting failure and fracture behaviors. However, the computation of all interactions between material particles within a specified region in PD leads to lower computational efficiency. A coupling methodology for ordinary state-based PD solid and FEM solid/shell models based on Nitsche’s method is proposed in this study to enable mixed-dimensional modeling involving discontinuities. In the proposed coupling approach, PD solid and FEM solid/shell models address damaged and intact zones of thin-walled structures, respectively. This coupling strategy is capable of effectively capturing detailed structural and fracture responses while simultaneously minimizing the number of discrete particles. Several numerical examples are presented to examine the capabilities of the proposed mixed-dimensional PD-FEM coupling model. Based on the comparisons of displacements and crack opening displacements, the proposed coupling approach can accurately reproduce structural and fracture responses of solid-shell structures with maximum numerical errors of approximately 1.0 \(\%\) % and 4.0 \(\%\) % , respectively, while requiring less computational time.