<p>This paper proposes a pre-folded re-entrant honeycomb (PRH) structure, which is constructed based on the traditional re-entrant hexagonal honeycomb and cell stacking method, and has both negative Poisson's ratio and Miura origami part properties. The prominent in-plane energy absorption capability of the PRH structure will be widely applied in the field of energy absorbers. First, the internal and external deformation patterns and energy absorption properties of the structure under quasi-static loading were investigated using a validated finite element model, and the effects of the stacking parameters on the mechanical properties of the structure under internal and external compression were discussed. Secondly, a multi-objective optimization model with plateau stress and specific energy absorption (SEA) under in-plane loading of the PRH structure was developed and solved using the response surface methodology, NSGA-II genetic algorithm and TOPSIS decision making method. The best solution of the proxy model for plateau stress and SEA under in-plane loading of the PRH structure was found, and it was compared with similar models such as pre-folded hexagonal honeycomb (PHH) and origami-based re-entrant honeycomb (OBH). It was found that the energy absorption properties of this structure are better under in-plane loading, and the <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40997_2025_862_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="51" /> </InlineMediaObject> <EquationSource Format="TEX">\({SEA}_{m}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mrow> <mi mathvariant="italic">SEA</mi> </mrow> <mi>m</mi> </msub> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40997_2025_862_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="46" /> </InlineMediaObject> <EquationSource Format="TEX">\({SEA}_{v}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mrow> <mi mathvariant="italic">SEA</mi> </mrow> <mi>v</mi> </msub> </math></EquationSource> </InlineEquation> of PRH were 24% and 53.23% higher than those of PHH. The <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40997_2025_862_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="51" /> </InlineMediaObject> <EquationSource Format="TEX">\({SEA}_{m}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mrow> <mi mathvariant="italic">SEA</mi> </mrow> <mi>m</mi> </msub> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40997_2025_862_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="46" /> </InlineMediaObject> <EquationSource Format="TEX">\({SEA}_{v}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mrow> <mi mathvariant="italic">SEA</mi> </mrow> <mi>v</mi> </msub> </math></EquationSource> </InlineEquation> of the PRH were 66.77% and 50.46% higher than those of OBH, respectively. The results are theoretically important for improving the mechanical properties and structural design of pre-folded structures.</p>

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The Mechanical Performance of Pre-folded Re-entrant Honeycombs Under In-plane Quasi-static Loading

  • Dingchuan Wang,
  • Chaoda Chen,
  • Hui Jiang,
  • Jinpeng Hu,
  • Zhansi Jiang

摘要

This paper proposes a pre-folded re-entrant honeycomb (PRH) structure, which is constructed based on the traditional re-entrant hexagonal honeycomb and cell stacking method, and has both negative Poisson's ratio and Miura origami part properties. The prominent in-plane energy absorption capability of the PRH structure will be widely applied in the field of energy absorbers. First, the internal and external deformation patterns and energy absorption properties of the structure under quasi-static loading were investigated using a validated finite element model, and the effects of the stacking parameters on the mechanical properties of the structure under internal and external compression were discussed. Secondly, a multi-objective optimization model with plateau stress and specific energy absorption (SEA) under in-plane loading of the PRH structure was developed and solved using the response surface methodology, NSGA-II genetic algorithm and TOPSIS decision making method. The best solution of the proxy model for plateau stress and SEA under in-plane loading of the PRH structure was found, and it was compared with similar models such as pre-folded hexagonal honeycomb (PHH) and origami-based re-entrant honeycomb (OBH). It was found that the energy absorption properties of this structure are better under in-plane loading, and the \({SEA}_{m}\) SEA m and \({SEA}_{v}\) SEA v of PRH were 24% and 53.23% higher than those of PHH. The \({SEA}_{m}\) SEA m and \({SEA}_{v}\) SEA v of the PRH were 66.77% and 50.46% higher than those of OBH, respectively. The results are theoretically important for improving the mechanical properties and structural design of pre-folded structures.