On Crack-Tip Strain Energy Release Rate in Non-Principal Directions of Elasticity for Simple Layer Plate of Composite Materials

Yang Wei-yang; Zhang Shao-qin

Volume 14 Issue 8

Turn off MathJax

Article Contents

Abstract

References

Article Navigation > Applied Mathematics and Mechanics > 1993 > 14(8): 707-713

Yang Wei-yang, Zhang Shao-qin. On Crack-Tip Strain Energy Release Rate in Non-Principal Directions of Elasticity for Simple Layer Plate of Composite Materials[J]. Applied Mathematics and Mechanics, 1993, 14(8): 707-713.

Citation:

PDF( 2464 KB)

On Crack-Tip Strain Energy Release Rate in Non-Principal Directions of Elasticity for Simple Layer Plate of Composite Materials

Taiyuan Heavy Machinery Institute, Taiyuan

Received Date: 1992-04-09
Publish Date: 1993-08-15

Abstract

Abstract

In this paper,the fracture problem in non-principal directions of elasticity for a simple layer plate of linear-elastic orthotropic composite materials is studied.The formulae of transformation between characteristic roots,coefficients of elastic compliances in non-principal directions of elasticity and corresponding parameters in principal directions of elasticity are derived.Then,the computing formulae of strain energy release rate under skew-symmetric loading in terms of engineering parameters for principal directions of elasticity are obtained by substituting crack-tip stresses and displacements into the basic formula of the strain energy release rate.
- strain energy release rate,
- non-principal directions of elasticity,
- central through crack,
- skew-symmetric loading,
- orthotropic composites

FullText(HTML)

References(8)

References

[1]	Sih,G.C.,P.C.Paris and G.R Irwin,On cracks in rectilinearly anisotropic bodies,Intern.J.Fracture Mech.,1,3(1965),189-203.
[2]	Corten,H.T.,Fracture Mechanics of Composites,in Fracture Ⅶ.,edited by H.Liebowitz,Academic Press,New York(1972),710-716.
[3]	杨维阳、杜八先,复合材料单向板裂纹尖端的应变能释放率,太原重型机械学院学报,13(3)(1992), 143-151.
[4]	Sih,G.C.,E.P.Chen,S.L.Huang and E.J Mc Quillen,Material characterization on the fracture of filament-reinforced composites,J.Composite Materials,9(1975),167-186.
[5]	Sih,G.C.and E.P.Chen,Cracks in Composite Materials,in Mechanics of FractureⅥ,edited by G.C.Sih,Martinus Nijhoff Publishers,Hague(1981),26-34.
[6]	杨维阳.正交异性复合材料单向板非弹性主方向的裂纹尖端应变与位移,报,12(1)(1991), 30-41.
[7]	c.r.列赫尼茨基,《各向异性板》.胡海昌译,科学出版社(1983),34-42.
[8]	刘锡礼、王秉权,嵘复合材料力学基础》,中国建筑工业出版社(198们,太原重型机械学院学25-34.

Relative Articles

[1]	AN Ruimei, HOU Yongkang, LI Yunfeng, DUAN Shujin. On Energy Release Rates and Fracture Energy of Elastic Bodies With Cohesive Cracks[J]. Applied Mathematics and Mechanics, 2024, 45(3): 295-302. doi: 10.21656/1000-0887.440289
[2]	PENG Fan, DONG Shiming. T-Stress in a Centrally Cracked Brazilian Disk Under Nonuniform Pressure Load[J]. Applied Mathematics and Mechanics, 2018, 39(7): 766-775. doi: 10.21656/1000-0887.380136
[3]	ZHANG Bi-chao, PENG Xiong-qi, HUANG Xiao-shuang. A Nonorthogonal Constitutive Model for Woven Composites Involving Biaxial Tension Coupling[J]. Applied Mathematics and Mechanics, 2016, 37(3): 227-234. doi: 10.3879/j.issn.1000-0887.2016.03.001
[4]	SUN Shu-lei, MAO Jian-liang, PENG Xiong-qi. An Anisotropic Hyperelastic Constitutive Model With Fibre Bending Stiffness for Cord-Rubber Composites[J]. Applied Mathematics and Mechanics, 2014, 35(5): 471-477. doi: 10.3879/j.issn.1000-0887.2014.05.001
[5]	LI Yong-chi, WANG Zhi-hai, WANG Xiao-jun, HU Xiu-zhang. Engineering Analysis of Penetration of a Metal Ball Into Fibre-Reinforced Composite Targets[J]. Applied Mathematics and Mechanics, 2009, 30(3): 345-352.
[6]	ZHOU Zhen-gong, WANG Biao. Dynamic Behavior of Two Parallel Symmetry Cracks in Magneto-Electro-Elastic Composites Under Harmonic Anti-Plane Waves[J]. Applied Mathematics and Mechanics, 2006, 27(5): 519-526.
[7]	ZHOU Zhen-gong, WANG Biao. Scattering of Harmonic Anti-Plane Shear Waves by an Interface Crack in Magneto-Electro-Elastic Composites[J]. Applied Mathematics and Mechanics, 2005, 26(1): 16-24.
[8]	ZHANG Shao-qin, YANG Wei-yang. Prediction of Mode Ⅰ Crack Propagation Direction in Carbon-Fiber Reinforced Composite Plate[J]. Applied Mathematics and Mechanics, 2004, 25(6): 653-660.
[9]	LIU Yu-lan, WANG Biao, WANG Dian-fu. On the Calculation of Energy Release Rate for Viscoelastic Cracked Laminates[J]. Applied Mathematics and Mechanics, 2003, 24(1): 12-18.
[10]	GUO Mao-lin, MENG Qing-yuan, WANG Biao. Research for the Strain Energy Release Rate of Complex Cracks by Using Point-by-Point Closed Extrapolation Approach[J]. Applied Mathematics and Mechanics, 2003, 24(4): 373-377.
[11]	GUO Yu-cui, FAN Tian-you. A Mode-Ⅱ Griffith Crack in Decagonal Quasicrystals[J]. Applied Mathematics and Mechanics, 2001, 22(11): 1181-1186.
[12]	Yang Weiyang, Zhang Shaoqin. The Crack Tip Fields of Orthotropic Composite Plate under Bending[J]. Applied Mathematics and Mechanics, 1999, 20(2): 193-199.
[13]	Zheng Quanshui, Fang Huiyu. Anisotropic Effects of Quasi-Isotropic Composites(Ⅰ)──Modelling[J]. Applied Mathematics and Mechanics, 1996, 17(10): 869-876.
[14]	Qian Ren-gen, Shouetsu Itou. DynamicStress Intensity Factors around Two Cracks near an Interface of Two Dissimilar EIastic Half-PIanes under In-plane Shear Impact Load[J]. Applied Mathematics and Mechanics, 1995, 16(1): 61-72.
[15]	Hu Hurang, Wu Chengping. Analysis of Energy Release Rate for Cracked Laminates[J]. Applied Mathematics and Mechanics, 1995, 16(6): 527-541.
[16]	Wang Ai-qin, Feng Bao-lian, Yang Wei-yang. A Study of J-lntegral of the Orthotropic Composite Material[J]. Applied Mathematics and Mechanics, 1994, 15(1): 59-67.
[17]	Zhang Shuang-yin, Cai Liang-wu. The Strain Energy Density Ratio Criterion for Predicting Cracking Direction in Composite Materials[J]. Applied Mathematics and Mechanics, 1993, 14(1): 79-87.
[18]	Yang Wei-yang, Zhang Shao-qin. On J-Integrals Near Models Ⅰ, Ⅱ Crack Tips in the Plates of Orthotropic Composite Material[J]. Applied Mathematics and Mechanics, 1990, 11(7): 643-651.
[19]	Huang Qian. On the Problem of Axisymmetrically Loaded Shells of Revolution with Small Elastic Strains and Arbitrarily Large Axial Deflections[J]. Applied Mathematics and Mechanics, 1986, 7(2): 115-125.
[20]	Cai Hai-tao. The Periodic Cracks of an Infinite Anisotropic Media for Plane Skew-Symmetric Loadings[J]. Applied Mathematics and Mechanics, 1986, 7(2): 139-144.