A mode III arc-shaped crack with surface elasticity

被引：32
|
作者：
Wang, Xu [1 ]
机构：
[1] E China Univ Sci & Technol, Sch Mech & Power Engn, Shanghai 200237, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2015年 / 66卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Arc-shaped crack; Antiplane deformation; Surface elasticity; Conformal mapping; Logarithmic singularity; Square root singularity; Cauchy singular integro-differential equation; CLARIFICATION; SOLIDS;
D O I：
10.1007/s00033-014-0482-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the effect of surface elasticity on an arc-shaped crack in a linearly elastic isotropic homogeneous material under antiplane shear deformation. The surface mechanics is incorporated by using a continuum-based surface/interface model of Gurtin and Murdoch. We obtain a complete solution by reducing the problem to two decoupled first-order Cauchy-type singular integro-differential equations. It is shown that different from the case of a straight crack, the stresses exhibit both the weak logarithmic and the strong square root singularities at the tips of the arc crack.
引用
收藏
页码：1987 / 2000
页数：14
相关论文
共 50 条
  • [41] Theoretical analysis and verification of particles moving along the arc-shaped surface in vibration machinery
    Lingxuan Li
    Haonan Zhang
    Zhuang Xing
    Zhenwei Ma
    Nonlinear Dynamics, 2022, 109 : 1341 - 1378
  • [42] Dynamic interaction of anti-plane shear waves with arc-shaped interfacial crack in piezoelectric media
    Du, Jianke
    Wang, Ji
    ULTRASONICS, 2006, 44 : E963 - E968
  • [43] EVALUATION OF STRESS INTENSITY FACTORS IN CIRCULAR ARC-SHAPED INTERFACIAL CRACK USING L-INTEGRAL
    CHOI, NY
    EARMME, YY
    MECHANICS OF MATERIALS, 1992, 14 (02) : 141 - 153
  • [44] An interfacial arc-shaped Zener-Stroh crack due to inclusion-matrix debonding in composites
    Fan, M.
    Yi, D. K.
    Xiao, Z. M.
    ACTA MECHANICA, 2014, 225 (03) : 909 - 918
  • [45] Theoretical analysis and verification of particles moving along the arc-shaped surface in vibration machinery
    Li, Lingxuan
    Zhang, Haonan
    Xing, Zhuang
    Ma, Zhenwei
    NONLINEAR DYNAMICS, 2022, 109 (03) : 1341 - 1378
  • [46] ANTENNA MEASUREMENTS BY MEANS OF AN ARC-SHAPED COLLIMATOR PROBE
    VORONIN, YN
    NECHAYEV, YY
    TELECOMMUNICATIONS AND RADIO ENGINEERING, 1988, 43 (05) : 129 - 131
  • [47] Characterization of arc-shaped side-polished fiber
    H. Ahmad
    H. Hassan
    A. Z. Zulkifli
    K. Thambiratnam
    I. S. Amiri
    Optical and Quantum Electronics, 2017, 49
  • [48] Wave diffraction on arc-shaped floating perforated breakwaters
    Duan Jin-hui
    Cheng Jian-sheng
    Wang Jian-ping
    Wang Jing-quan
    CHINA OCEAN ENGINEERING, 2012, 26 (02) : 305 - 316
  • [49] An Arc-shaped Front Nose for the Mole in Space Exploration
    Qin, Yiwei
    Hou, Xuyan
    Quan, Qiquan
    Yin, Shen
    Jiang, Shengyuan
    Deng, Zongquan
    2013 IEEE INTERNATIONAL CONFERENCE ON ROBOTICS AND BIOMIMETICS (ROBIO), 2013, : 56 - 61
  • [50] Backstepping control of novel arc-shaped SMA actuator
    Khan, Abdul Manan
    Shin, Buhyun
    Usman, Muhammad
    Kim, Youngshik
    MICROSYSTEM TECHNOLOGIES-MICRO-AND NANOSYSTEMS-INFORMATION STORAGE AND PROCESSING SYSTEMS, 2022, 28 (10): : 2191 - 2202
12345