Mathematical modelling of mode I fracture in magnetoelastic medium

被引:0
|
作者
Baroi, Juhi [1 ]
Biswas, Mahargha [2 ]
Paswan, Brijendra [3 ]
Yvaz, A. [4 ]
机构
[1] Vellore Inst Technol, Dept Math, Vellore 632007, India
[2] IIT ISM Dhanbad, Dept Math & Comp, Dhanbad 826004, Jharkhand, India
[3] Guru Ghasidas Vishwavidyalaya, Dept Math, Bilaspur 495009, India
[4] State Marine Tech Univ, World Class Res Ctr Adv Digital Technol, St Petersburg 190121, Russia
来源
关键词
Magnetoelastic medium; Wave propagation; Mode-I fracture; Structural durability; CRACK-PROPAGATION; PIEZOELECTRIC LAYER; ELECTRIC-FIELD; MECHANICS;
D O I
10.1007/s00339-024-07685-3
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The influence of a Griffith fracture on magnetic fields and stress in an infinite piezomagnetic material under tension loading and magnetic has been explored using linear theory of piezomagnetic material and suitable boundary conditions. The solutions have been obtained in closed form for Mode I fracture and external loading utilised to open the fracture. The rate of energy release has been determined for the non-zero magnetic field within the fracture at the crack tip. During computation of driving force, the magnetostatic energy has been taken into account and it has been observed that the rate of energy release is the cubic function of external loading. The findings could be utilised to explain various nonlinear phenomena in piezomagnetic ceramic for structural durability.
引用
收藏
页数:12
相关论文
共 50 条
  • [31] A system to construct a medium for the mathematical modelling of complicated engineering systems
    Akhmedzyanov, A.M.
    Kozhinov, D.G.
    Izvestiya Vysshikh Uchebnykh Zavedenij. Aviatsionnaya Tekhnika, 1994, (01): : 54 - 58
  • [32] Mathematical modelling and control of a submersible multi-medium UAV
    Panigrahi, Siddhant
    Ashok, Vaibhav
    Pediredla, Vijay Kumar
    Ranganathan, Thiyagarajan
    Thondiyath, Asokan
    OCEANS 2022, 2022,
  • [33] Modeling Mode I Fracture of Bitumen Films
    Portillo, O.
    Cebon, D.
    JOURNAL OF MATERIALS IN CIVIL ENGINEERING, 2013, 25 (10) : 1403 - 1414
  • [34] Mode I interlaminar fracture toughness of composite
    Jiao, Guiqiong
    Gao, Jian
    Deng, Qiang
    Fuhe Cailiao Xuebao/Acta Materiae Compositae Sinica, 1994, 11 (01): : 113 - 118
  • [35] Brittle fracture in a plastic medium: Advantage of modelling a crack by a notch
    Wadier, Y
    Lorentz, E
    COMPTES RENDUS MECANIQUE, 2004, 332 (12): : 979 - 986
  • [36] The Influence of Temperature on Mode I Fracture Toughness and Fracture Characteristics of Sandstone
    Gan Feng
    Yong Kang
    Tao Meng
    Yao-qing Hu
    Xiao-hong Li
    Rock Mechanics and Rock Engineering, 2017, 50 : 2007 - 2019
  • [37] The Influence of Temperature on Mode I Fracture Toughness and Fracture Characteristics of Sandstone
    Feng, Gan
    Kang, Yong
    Meng, Tao
    Hu, Yao-qing
    Li, Xiao-hong
    ROCK MECHANICS AND ROCK ENGINEERING, 2017, 50 (08) : 2007 - 2019
  • [38] A fracture test method for Mode I fracture of thin metal materials
    Cotterell, B
    Sim, MC
    Amrutharaj, G
    Teoh, SH
    JOURNAL OF TESTING AND EVALUATION, 1996, 24 (05) : 316 - 319
  • [39] Size and Geometry Effects on Rock Fracture Toughness: Mode I Fracture
    Ayatollahi, M. R.
    Akbardoost, J.
    ROCK MECHANICS AND ROCK ENGINEERING, 2014, 47 (02) : 677 - 687
  • [40] Size and Geometry Effects on Rock Fracture Toughness: Mode I Fracture
    M. R. Ayatollahi
    J. Akbardoost
    Rock Mechanics and Rock Engineering, 2014, 47 : 677 - 687