Buckling behavior of nickel microbeams based on reformulated strain gradient theory

被引:4
|
作者
Yildirim, Anil [1 ]
Akgoz, Bekir [1 ]
机构
[1] Akdeniz Univ, Civil Engn Dept, Div Mech, Antalya, Turkiye
来源
APPLIED PHYSICS A-MATERIALS SCIENCE & PROCESSING | 2024年 / 130卷 / 11期
关键词
Buckling behavior; Euler-Bernoulli beam model; Rayleigh-Ritz method; Reformulated strain gradient theory; Size effect; ELASTICITY; MICROSTRUCTURE; BERNOULLI; BEAMS;
D O I
10.1007/s00339-024-08013-5
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper, the microstructure-dependent buckling behavior of microbeams is investigated. The material used for the microbeams is chosen as nickel. The reformulated strain gradient theory and Euler-Bernoulli beam theory are employed to develop the microbeam model with size effect. Rayleigh-Ritz method is used to achieve the critical buckling loads for cantilever and simply supported microbeams. Buckling behavior and size effects based on classical and nonclassical theories are investigated and compared. Some different conditions, such as inclusion of length scale parameters and increasing the length and thickness of microbeam, and their effects on the critical buckling loads are studied. Also, some comparative results are presented to demonstrate the accuracy and validity of the present analysis. It is found that the size effects become more pronounced, especially on smaller slenderness ratios.
引用
收藏
页数:10
相关论文
共 50 条
  • [1] BUCKLING AND POSTBUCKLING BEHAVIOR OF FUNCTIONALLY GRADED TIMOSHENKO MICROBEAMS BASED ON THE STRAIN GRADIENT THEORY
    Ansari, Reza
    Shojaei, Mostafa Faghih
    Mohammadi, Vahid
    Gholami, Raheb
    Darabi, Mohammad Ali
    JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES, 2012, 7 (10) : 931 - 949
  • [2] Buckling analysis of functionally graded microbeams based on the strain gradient theory
    Akgoz, Bekir
    Civalek, Omer
    ACTA MECHANICA, 2013, 224 (09) : 2185 - 2201
  • [3] Buckling analysis of functionally graded microbeams based on the strain gradient theory
    Bekir Akgöz
    Ömer Civalek
    Acta Mechanica, 2013, 224 : 2185 - 2201
  • [4] Postbuckling of functionally graded microbeams: a theoretical study based on a reformulated strain gradient elasticity theory
    Yin, Shuohui
    Wang, Xuefei
    Bui, Tinh Quoc
    Liu, Jingang
    Yu, Tiantang
    Gu, Shuitao
    ACTA MECHANICA, 2024, 235 (09) : 5529 - 5544
  • [5] Size-dependent postbuckling for microbeams: analytical solutions using a reformulated strain gradient elasticity theory
    Shuohui Yin
    Zhibing Xiao
    Gongye Zhang
    Tinh Quoc Bui
    Xuefei Wang
    Jingang Liu
    Acta Mechanica, 2022, 233 : 5045 - 5060
  • [6] Size-dependent postbuckling for microbeams: analytical solutions using a reformulated strain gradient elasticity theory
    Yin, Shuohui
    Xiao, Zhibing
    Zhang, Gongye
    Tinh Quoc Bui
    Wang, Xuefei
    Liu, Jingang
    ACTA MECHANICA, 2022, 233 (12) : 5045 - 5060
  • [7] BUCKLING OF FGM TIMOSHENKO MICROBEAMS UNDER IN-PLANE THERMAL LOADING BASED ON THE MODIFIED STRAIN GRADIENT THEORY
    Ansari, R.
    Gholami, R.
    Shojaei, M. Faghih
    Mohammadi, V.
    Sahmani, S.
    INTERNATIONAL JOURNAL FOR MULTISCALE COMPUTATIONAL ENGINEERING, 2013, 11 (04) : 389 - 405
  • [8] A new trigonometric beam model for buckling of strain gradient microbeams
    Akgoz, Bekir
    Civalek, Omer
    INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2014, 81 : 88 - 94
  • [9] A modified strain gradient theory for buckling, bending and free vibration behaviors of metal foam microbeams
    Nguyen, Ngoc-Duong
    Bui, Van-Tai
    Nguyen, Trung-Kien
    STRUCTURES, 2024, 64
  • [10] Static and dynamic modeling of functionally graded Euler-Bernoulli microbeams based on reformulated strain gradient elasticity theory using isogeometric analysis
    Dinachandra, Moirangthem
    Alankar, Alankar
    COMPOSITE STRUCTURES, 2022, 280