The Classical Pressure Vessel Problem for Void Damage Materials

Fu Mingfu; Sheng Dongfa; Li Xianglin

Volume 18 Issue 10

Turn off MathJax

Article Contents

Abstract

References

Article Navigation > Applied Mathematics and Mechanics > 1997 > 18(10): 899-904

Fu Mingfu, Sheng Dongfa, Li Xianglin. The Classical Pressure Vessel Problem for Void Damage Materials[J]. Applied Mathematics and Mechanics, 1997, 18(10): 899-904.

Citation:

Fu Mingfu, Sheng Dongfa, Li Xianglin. The Classical Pressure Vessel Problem for Void Damage Materials[J]. Applied Mathematics and Mechanics, 1997, 18(10): 899-904.

Citation:

Fu Mingfu, Sheng Dongfa, Li Xianglin. The Classical Pressure Vessel Problem for Void Damage Materials[J]. Applied Mathematics and Mechanics, 1997, 18(10): 899-904.

PDF( 333 KB)

The Classical Pressure Vessel Problem for Void Damage Materials

Institute of Engineering Mechanics, Nanchang University, Nanchang 330029, P. R. China

Received Date: 1995-12-18
Rev Recd Date: 1997-03-21
Publish Date: 1997-10-15

Abstract

Abstract

In this paper,the classical pressure vessel problem for void damage materials is studied from the theory of mncrostructure in linear elasticity.The solutions are quasi static.The Stress distribution is predicted by isotropic linear elasticity.The displacement and damage fields exhibit a volumetric viscoelasticity induced by considering material damage.
- void damage,
- elastic microstructure,
- pressure vessel

FullText(HTML)

References(4)

References

[1]	S.C.Cowin and J.W.Nunziato,Linear elastic materials with voids,J.Elasticity,13(1983),125-147.
[2]	S.C.Cowin and P.Puri,The classical pressure vessel problems for linear elasticmaterials with voids,J.Elasticity,13(1983),157-163.
[3]	盛冬发、扶名福、李相麟,带空洞损伤的梁的纯弯曲,南昌大学学报(工科版),16,2(1996),1-9.
[4]	R.D.Mindlin,Microstructure in linear elasticity,Arch.Rational Mech.Anal.,16(1964),51-78.

Relative Articles

[1]	DENG Mao, YAN Bo, GAO Yingbo, YANG Hanxu, LÜ Zhongbin, ZHANG Bo, LIU Guanghui. A Damage Identification Method for Transmission Towers Based on Substructure Model Reduction and Data Driving[J]. Applied Mathematics and Mechanics, 2024, 45(7): 850-863. doi: 10.21656/1000-0887.450052
[2]	XIE Jiang, PAN Hanyuan, LI Xuan, WANG Lixuan, JIANG Yilun, FENG Zhenyu. Quasi-Static Pressure Characteristics of Explosion Venting Vessel Under Confined Explosion[J]. Applied Mathematics and Mechanics, 2023, 44(10): 1236-1249. doi: 10.21656/1000-0887.430359
[3]	LI Xu, SU Rui, ZHANG Huan, WENG Qianru, JIANG Xiaoyu. Influence of Multiple Micro Cracks on the Damage Behavior of a Macro-Crack Tip[J]. Applied Mathematics and Mechanics, 2022, 43(12): 1347-1358. doi: 10.21656/1000-0887.420333
[4]	ZHAO Bing, LIU Tao, HE Jian-hui, ZHU Hao-rui, LI Wei. A Modified Gradient Elastic Theory Considering Damage[J]. Applied Mathematics and Mechanics, 2017, 38(9): 999-1008. doi: 10.21656/1000-0887.370285
[5]	XIAO Shu-min, YAN Yun-ju, JIANG Bo-lan. Damage Identification for Bridge Structures Based on the Wavelet Neural Network Method[J]. Applied Mathematics and Mechanics, 2016, 37(2): 149-159. doi: 10.3879/j.issn.1000-0887.2016.02.004
[6]	LIU Xiao-ning, LIU Cen, ZHANG Hong-wei, LIU Bing, YUAN Xiao-hui, YANG Fan. Discussion on ‘Reconstructed Formulas Calculating Bursting Pressures of the Special Spherical Pressure Vessels Based on Experimental Data’[J]. Applied Mathematics and Mechanics, 2016, 37(5): 542-550. doi: 10.3879/j.issn.1000-0887.2016.05.010
[7]	LI Yi, YAN Yun-ju. Application of Two-Level Combination Method for Evidence Theory to Structural Damage Detection[J]. Applied Mathematics and Mechanics, 2014, 35(2): 226-232. doi: 10.3879/j.issn.1000-0887.2014.02.011
[8]	LIU Ai-qun, YIN Yi-hui, LIU Xing-fu. Reconstructed Formulas Calculating Bursting Pressures of the Special Spherical Pressure Vessels Based on Experimental Data[J]. Applied Mathematics and Mechanics, 2014, 35(11): 1232-1238. doi: 10.3879/j.issn.1000-0887.2014.11.006
[9]	FENG Kan, LI Zheng, GAO Gui-yun, SU Xian-yue. Damage Detection Method in Complicated Beams With Varying Flexural Stiffness[J]. Applied Mathematics and Mechanics, 2011, 32(4): 445-454. doi: 10.3879/j.issn.1000-0887.2011.04.007
[10]	Rajneesh Kumar, Rajani Rani Gupta. Elastodynamic Analysis at an Interface of Viscous Fluid/Thermoelastic Micropolar Honeycomb Medium due to Inclined Load[J]. Applied Mathematics and Mechanics, 2009, 30(3): 333-344.
[11]	YIN Tao, LAM Heung-fai, ZHU Hong-ping. Statistical Damage Detection of Structures Based on Model Reduction[J]. Applied Mathematics and Mechanics, 2009, 30(7): 821-832. doi: 10.3879/j.issn.1000-0887.2009.07.007
[12]	YIN Tao, ZHU Hong-ping, YU Ling. Noise Analysis for Sensitivity Based Structural Damage Detection[J]. Applied Mathematics and Mechanics, 2007, 28(6): 659-667.
[13]	CHENG Chang-jun, SHENG Dong-fa, LI Jing-jing. Quasi-Static Analysis for Viscoelastic Timoshenko Beams With Damage[J]. Applied Mathematics and Mechanics, 2006, 27(3): 267-274.
[14]	CHEN Hong-kai, TANG Hong-mei, YE Si-qiao. Research on Damage Model of Control Fissure in Perilous Rock[J]. Applied Mathematics and Mechanics, 2006, 27(7): 845-851.
[15]	YAO Zhi-yuan, WANG Feng-quan, ZHAO Chun-sheng. A Method of Online Damage Identification for Structures Based on Ambient Vibration[J]. Applied Mathematics and Mechanics, 2005, 26(2): 246-252.
[16]	TANG He-sheng, XUE Song-tao, CHEN Rong, WANG Yuan-gong. Analyses on Structural Damage Identification Based on Combined Parameters[J]. Applied Mathematics and Mechanics, 2005, 26(1): 40-46.
[17]	SHENG Dong-fa, CHENG Chang-jun, FU Ming-fu. Generalized Variational Principles of the Viscoelastic Body With Voids and Their Applications[J]. Applied Mathematics and Mechanics, 2004, 25(4): 345-353.
[18]	Ma Jinghuai. The Virtual Work Principle and Linear Complementary Method for Coupling Analysis of Elasto-Plastic Damage Structure[J]. Applied Mathematics and Mechanics, 2000, 21(2): 164-170.
[19]	Zhang Yingshi, Ma Zhixang. Radial Vibrations of Axisymmetrically Loaded Stepped Pressure Vessels[J]. Applied Mathematics and Mechanics, 1999, 20(1): 99-103.
[20]	Wang Xing-fa. The Leakage Criterions of Thin-Wall Pressure Vessels,Materials of Missile and Spacecraft[J]. Applied Mathematics and Mechanics, 1986, 7(9): 861-866.