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Study on the mechanical properties of Scherk single-periodic minimal surface
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Shuai WANG1, 2, Tao DENG2, Jialu HE3, Kaifa ZHOU3
Journal of Mechanical Strength | 2025, 47(8) : 48 - 58
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Journal of Mechanical Strength | 2025, 47(8): 48-58
Experimental Research·Testing Technology
Study on the mechanical properties of Scherk single-periodic minimal surface
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Shuai WANG1, 2, Tao DENG2, Jialu HE3, Kaifa ZHOU3
Affiliations
  • 1.School of Intelligent Manufacturing and Transportation, Chongqing Vocational Institute of Engineering, Chongqing 402260, China
  • 2.School of Aeronautics, Chongqing Jiaotong University, Chongqing 400074, China
  • 3.School of Civil Engineering, Chongqing Jiaotong University, Chongqing 400074, China
Published: 2025-08-15 doi: 10.16579/j.issn.1001.9669.2025.08.006
Outline
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Minimal surfaces are characterized by spatially continuous smoothness, which can effectively avoid the problem of the stress concentration, and have become a significant focus in the research of mechanical metamaterials. A Scherk single-periodic minimal surface (SPMS) was studied, and the spatially continuous smooth geometrical model was generated using a voxel reconstruction technique with multi-software association method. The mechanical behavior and energy absorption characteristics of the single-period Scherk surface structure were investigated using finite element simulation. The impact of the mathematical parameters of the minimal surface on the geometric configuration was examined.Five minimal surfaces with different parameters were established, and the deformation patterns and stress distributions of the five structures were explored under positive and lateral compression conditions. The Scherk surface structures were fabricated by metal printing technology, and quasi-static compression tests were conducted. The results show that the Scherk single-period surface has an obvious negative Poisson ratio effect, and the SPMS structure exhibits X-and V-shaped deformation modes, which can well withstand the external loading effects. The compression tests show the hump phenomenon of the reaction force and displacement curves of the SPMS structure, indicating that the structure has a negative Poisson ratio and negative stiffness property. This property provides a wide space for its application research in large deformation damage and structural energy absorption.

Single-periodic minimal surface  /  Sherk surface  /  Energy absorption  /  Negative Poisson ratio  /  Negative stiffness
Shuai WANG, Tao DENG, Jialu HE, Kaifa ZHOU. Study on the mechanical properties of Scherk single-periodic minimal surface[J]. Journal of Mechanical Strength, 2025 , 47 (8) : 48 -58 . DOI: 10.16579/j.issn.1001.9669.2025.08.006
  • National Natural Science Foundation of China(52275051)
  • Chongqing Jiaotong University Natural Science Unveiling Project(XJ2023000701)
  • Chongqing Graduate Tutor Team Building Project(JDDSTD2022007)
  • Chongqing Graduate Joint Training Base Construction Project(JDLHPYJD2022001)
Year 2025 volume 47 Issue 8
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58
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Article Info
doi: 10.16579/j.issn.1001.9669.2025.08.006
  • Receive Date:2023-12-10
  • Online Date:2026-03-19
  • Published:2025-08-15
Article Data
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History
  • Received:2023-12-10
  • Revised:2024-01-16
Funding
National Natural Science Foundation of China(52275051)
Chongqing Jiaotong University Natural Science Unveiling Project(XJ2023000701)
Chongqing Graduate Tutor Team Building Project(JDDSTD2022007)
Chongqing Graduate Joint Training Base Construction Project(JDLHPYJD2022001)
Affiliations
    1.School of Intelligent Manufacturing and Transportation, Chongqing Vocational Institute of Engineering, Chongqing 402260, China
    2.School of Aeronautics, Chongqing Jiaotong University, Chongqing 400074, China
    3.School of Civil Engineering, Chongqing Jiaotong University, Chongqing 400074, China

Corresponding:

WANG Shuai, E-mail:
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表12种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)

Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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