General solutions of plane problem in one-dimensional quasicrystal piezoelectric materials and its application on fracture mechanics

doi:10.1007/s10483-015-1949-6

Applied Mathematics and Mechanics (English Edition) ›› 2015, Vol. 36 ›› Issue (6): 793-814.doi: https://doi.org/10.1007/s10483-015-1949-6

• Articles • Previous Articles Next Articles

General solutions of plane problem in one-dimensional quasicrystal piezoelectric materials and its application on fracture mechanics

1. School of Science, Inner Mongolia University of Technology, Hohhot 010051, China;
2. College of General Education, Inner Mongolia Normal University, Hohhot 010022, China;
3. Department of Civil Engineering, University of Akron, OH 44325-3905, U.S.A.

Received:2014-07-21 Revised:2014-10-30 Online:2015-06-01 Published:2015-06-01
Contact: Junhong GUO E-mail:guojunhong114015@163.com

Abstract

2010 MSC Number:

null

Jing YU, Junhong GUO, Ernian PAN, Yongming XING. General solutions of plane problem in one-dimensional quasicrystal piezoelectric materials and its application on fracture mechanics. Applied Mathematics and Mechanics (English Edition), 2015, 36(6): 793-814.

TrendMD

[1]	Jing ZHANG, Guanting LIU. A Dugdale-Barenblatt model for elliptical orifice problem with asymmetric cracks in one-dimensional orthorhombic quasicrystals [J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(9): 1533-1546.
[2]	M. KIM, G. LIN. Peri-Net-Pro: the neural processes with quantified uncertainty for crack patterns [J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(7): 1085-1100.
[3]	Siyong LIU, Yuanzhi XU, Richeng LIAO, Ge HE, Li DING, Bingbing AN, Dongsheng ZHANG. On fracture behavior of inner enamel: a numerical study [J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(6): 931-940.
[4]	Jian CHEN, Yawei WANG, Xianfang LI. Antiplane shear crack in a prestressed elastic medium based on the couple stress theory [J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(4): 583-602.
[5]	Chenxue JIA, Zihao WANG, Donghui ZHANG, Taihua ZHANG, Xianhong MENG. Fracture of films caused by uniaxial tensions: a numerical model [J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(12): 2093-2108.
[6]	Chenghui XU, Sen LENG, Zhenhuan ZHOU, Xinsheng XU, Zichen DENG. Accurate and straightforward symplectic approach for fracture analysis of fractional viscoelastic media [J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(3): 403-416.
[7]	Xin ZHANG, Minghao ZHAO, Cuiying FAN, C. S. LU, Huayang DANG. Three-dimensional interfacial fracture analysis of a one-dimensional hexagonal quasicrystal coating [J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(12): 1901-1920.
[8]	Xu WANG, P. SCHIAVONE. Thermoelectric field for a coated hole of arbitrary shape in a nonlinearly coupled thermoelectric material [J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(11): 1691-1700.
[9]	Zhina ZHAO, Junhong GUO. Surface effects on a mode-III reinforced nano-elliptical hole embedded in one-dimensional hexagonal piezoelectric quasicrystals [J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(5): 625-640.
[10]	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.
[11]	Minghao ZHAO, Cuiying FAN, C. S. LU, Huayang DANG. Interfacial fracture analysis for a two-dimensional decagonal quasi-crystal coating layer structure [J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(11): 1633-1648.
[12]	Xu WANG, P. SCHIAVONE. Elastic field near the tip of an anticrack in a decagonal quasicrystalline material [J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(3): 401-408.
[13]	Xing ZHAO, Zhenghua QIAN, Jinxi LIU, Cunfa GAO. Effects of electric/magnetic impact on the transient fracture of interface crack in piezoelectric-piezomagnetic sandwich structure: anti-plane case [J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(1): 139-156.
[14]	M. KARIMI, A. GHASSEMI, A. ATRIAN, M. VAHABI. Compensation of stress intensity factors in hollow cylinders containing several cracks under torsion by electro-elastic coating [J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(9): 1335-1360.
[15]	M. HAJIMOHAMADI, R. GHAJAR. An analytical solution for the stress field and stress intensity factor in an infinite plane containing an elliptical hole with two unequal aligned cracks [J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(8): 1103-1118.

General solutions of plane problem in one-dimensional quasicrystal piezoelectric materials and its application on fracture mechanics

RichHTML

PDF

Knowledge

Cited

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments