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
  • [41] Discontinuous modelling of mode-I failure
    Berends, AH
    Sluys, LJ
    deBorst, R
    FINITE ELEMENTS IN ENGINEERING AND SCIENCE, 1997, : 351 - 361
  • [42] Discontinuous modelling of mode-I failure
    Berends, AH
    Sluys, LJ
    deBorst, R
    COMPUTATIONAL PLASTICITY: FUNDAMENTALS AND APPLICATIONS, PTS 1 AND 2, 1997, : 751 - 758
  • [43] J-Integral for Mode I Linear Elastic Fracture Mechanics in h, p, k Mathematical and Computational Framework
    Nunez, D.
    Surana, K. S.
    Romkes, A.
    Reddy, J. N.
    INTERNATIONAL JOURNAL FOR COMPUTATIONAL METHODS IN ENGINEERING SCIENCE & MECHANICS, 2009, 10 (05): : 345 - 369
  • [44] Magnetoelastic fracture of soft ferromagnetic materials
    Fang, DN
    Wan, YP
    Soh, AK
    THEORETICAL AND APPLIED FRACTURE MECHANICS, 2004, 42 (03) : 317 - 334
  • [45] MODELS OF WOOD FRACTURE IN MODE-I AND MODE-II
    TAN, DM
    STANZLTSCHEGG, SE
    TSCHEGG, EK
    HOLZ ALS ROH-UND WERKSTOFF, 1995, 53 (03) : 159 - 164
  • [46] MODE-I AND MODE-II FRACTURE OF ADHESIVE JOINTS
    ANANDARAJAH, A
    VARDY, AE
    JOURNAL OF STRAIN ANALYSIS FOR ENGINEERING DESIGN, 1984, 19 (03): : 173 - 183
  • [47] Mode I and mixed mode fracture mechanics testing of WIPP salt
    Brodsky, NS
    PACIFIC ROCKS 2000: ROCK AROUND THE RIM, 2000, : 731 - 736
  • [48] Mixed-mode impact fracture of a medium carbon steel
    Manoharan, M
    Seow, HP
    PROCESSING AND FABRICATION OF ADVANCED MATERIALS VI, VOLS 1 & 2, 1998, : 217 - 226
  • [49] COUPLED MAGNETOELASTIC WAVES IN A BOUNDED MEDIUM
    FILIPPOV, BN
    ONOPRIYE.LG
    PHYSICS OF METALS AND METALLOGRAPHY-USSR, 1970, 30 (06): : 1 - +
  • [50] Fracture toughness of polycrystalline tungsten under mode I and mixed mode I/II loading
    Margevicius, RW
    Riedle, J
    Gumbsch, P
    MATERIALS SCIENCE AND ENGINEERING A-STRUCTURAL MATERIALS PROPERTIES MICROSTRUCTURE AND PROCESSING, 1999, 270 (02): : 197 - 209