PLANE-STRESS CRACK-TIP STRESS FIELDS FOR ORTHOTROPIC PERFECTLY-PLASTIC MATERIALS

Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (4): 393-398.

• Articles • Previous Articles Next Articles

PLANE-STRESS CRACK-TIP STRESS FIELDS FOR ORTHOTROPIC PERFECTLY-PLASTIC MATERIALS

Fan Ji-xia¹, Yuan Zu-pei²

1. 805 Research Institute, Shanghai Astronautics Bureau, Shanghai;
2. Department of Engineering Mechanics, Harbin Institute of Technology, Harbin

Received:1989-08-28 Online:1991-04-18 Published:1991-04-18

Abstract

Abstract: Under the hypothesis that the stress components of crack-tip fields are only the functions of 9, the differential equations of plane-stress crack-tip stress fields for orthotropic perfectly-plastic materials are obtained by using Hill's yield condition and equilibrium equations.By combining the general analytical expression with the numerical method the crack-tip stress fields for orthotropic perfectly-plastic materials for plane stress are presented.

Key words: orthotropic, plasticity, crack-tip, stress field

Fan Ji-xia;Yuan Zu-pei. PLANE-STRESS CRACK-TIP STRESS FIELDS FOR ORTHOTROPIC PERFECTLY-PLASTIC MATERIALS. Applied Mathematics and Mechanics (English Edition), 1991, 12(4): 393-398.

TrendMD

[1]	Xiuchen GONG, Yinghao NIE, Gengdong CHENG, Kai LI. Effect of boundary conditions on shakedown analysis of heterogeneous materials [J]. Applied Mathematics and Mechanics (English Edition), 2024, 45(1): 39-68.
[2]	Lingkang ZHAO, Peijun WEI, Yueqiu LI. Free vibration of thermo-elastic microplate based on spatiotemporal fractional-order derivatives with nonlocal characteristic length and time [J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(1): 109-124.
[3]	Biao HU, Juan LIU, Yuxing WANG, Bo ZHANG, Jing WANG, Huoming SHEN. Study on wave dispersion characteristics of piezoelectric sandwich nanoplates considering surface effects [J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(9): 1339-1354.
[4]	Lei ZHANG. Mechanical effects of circular liquid inclusions inside soft matrix: role of internal pressure change and surface tension [J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(4): 501-510.
[5]	Baijian WU, Sheng ZHOU, Zhaoxia LI. Analytical solution for the stress field of hierarchical defects: multiscale framework and applications [J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(2): 183-208.
[6]	Xu WANG, Ping YANG, P. SCHIAVONE. A screw dislocation near one open inhomogeneity and another closed inhomogeneity both permitting constant interior stresses [J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(2): 173-182.
[7]	A. MANDI, S. KUNDU, P. PATI, P. C. PAL. An analytical study on the Rayleigh wave generation in a stratified structure [J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(7): 1039-1054.
[8]	Lianhe LI, Xiaowei CUI, Junhong GUO. Interaction between a screw dislocation and an elliptical hole with two asymmetrical cracks in a one-dimensional hexagonal quasicrystal with piezoelectric effect [J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(6): 899-908.
[9]	Siyu WANG, Lin ZHAN, Huifeng XI, Heng XIAO. New finite strain elastoplastic equations for accurately and explicitly simulating pseudoelastic-to-plastic transition effects of shape memory alloys [J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(10): 1583-1596.
[10]	Haitao LIU, Zhengong ZHOU. Dynamic behavior of rectangular crack in three-dimensional orthotropic elastic medium by means of non-local theory [J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(2): 173-190.
[11]	Jian WU, C. Q. RU, Liang ZHANG, Ling WAN. Geometrical shape of in-plane inclusion characterized by polynomial internal stress field under uniform eigenstrains [J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(9): 1113-1130.
[12]	Tiemei YANG, Weiyang YANG, Junlin LI, Xuexia ZHANG. Analysis on non-oscillatory singularity behaviors of mode Ⅱ interface crack tip in orthotropic bimaterial [J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(9): 1177-1192.
[13]	M. MOHAMMADIMEHR, M. A. MOHAMMADIMEHR, P. DASHTI. Size-dependent effect on biaxial and shear nonlinear buckling analysis of nonlocal isotropic and orthotropic micro-plate based on surface stress and modified couple stress theories using differential quadrature method [J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(4): 529-554.
[14]	A. G. ARANI, G. S. JAFARI. Nonlinear vibration analysis of laminated composite Mindlin micro/nano-plates resting on orthotropic Pasternak medium using DQM [J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(8): 1033-1044.
[15]	S. R. MAHMOUD;A. M. ABD-ALLA. Influence of magnetic field on free vibrations in elastodynamic problem of orthotropic hollow sphere [J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(8): 1051-1066.

PLANE-STRESS CRACK-TIP STRESS FIELDS FOR ORTHOTROPIC PERFECTLY-PLASTIC MATERIALS

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments