Advertisement

Novel measuring approach for damage of viscoelastic material (Part I): Constitutive model

  • Zhao Rong-guo  (赵荣国)Email author
Article

Abstract

In order to describe the mechanical behaviors of viscoelastic material more accurately, the effect of damage on the constitutive model of viscoelastic material is necessary to be considered. The basis of building viscoelastic constitutive model with growing damage is to develop all kinds of measuring methods for damage, and then to obtain the damage evolution equation. Based on LEMAITRE-CHABOCHE’s damage model and the elasticity recovery correspondence principle, a novel measuring approach for damage of viscoelastic material was developed. In this approach, the recovered elastic stresses or strains in loading and unloading were obtained using the elasticity recovery correspondence principle, then the instantaneous elastic responses were gained, and a set of damage values were achieved by applying LEMAITRE-CHABOCHE’s damage model, the damage evolution equation and the constitutive model with damage were deduced finally. The measuring approach for damage is suitable not only for the case of axial tension, but also for the case of fatigue.

Key words

constitutive model damage viscoelasticity instantaneous elasticity recovered elasticity 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    SCHAPERY R A. Nonlinear viscoelastic solids[J]. International Journal of Solids and Structures, 2000, 37(1/2): 359–366.MathSciNetCrossRefGoogle Scholar
  2. [2]
    SCHAPERY R A. A micromechanical model for nonlinear viscoelastic behavior of particle reinforced rubber with distributed damage[J]. Engineering Fracture Mechanics, 1986, 25(5/6):845–867.CrossRefGoogle Scholar
  3. [3]
    PARK S W, SCHAPERY R A. A viscoelastic constitutive model for particulate composites with growing damage[J]. International Journal of Solids and Structures, 1997, 34(8): 931–947.CrossRefGoogle Scholar
  4. [4]
    HA K, SCHAPERY R A. A three-dimensional viscoelastic constitutive model for particulate composites with growing damage and its experimental validation[J]. International Journal of Solids and Structures, 1998, 35(26/27): 3497–3517.CrossRefGoogle Scholar
  5. [5]
    SIMO J C. On a fully three-dimensional finite-strain viscoelastic damage model: Formulation and computational aspects[J]. Computer Methods in Applied Mechanics and Engineering, 1987, 60(2):153–173.CrossRefGoogle Scholar
  6. [6]
    JUNG G D, YOUN G D. A nonlinear viscoelastic constitutive model of solid propellant[J]. International Journal of Solids and Structure, 1999, 36(25): 3755–3777.CrossRefGoogle Scholar
  7. [7]
    JUNG S K, YOUN S K, KIM B K. A three-dimensional nonlinear viscoelastic constitutive model of solid propellant[J]. International Journal of Solids and Structures, 2000, 37(34): 4715–4732.CrossRefGoogle Scholar
  8. [8]
    ZHAO Rong-guo, ZHANG Chun-yuan. A nonlinear viscoelastic constitutive relation with damage[J]. Natural Science Journal of Xiangtan University, 2001, 23(3): 38–43. (in Chinese)Google Scholar
  9. [9]
    LUO Ying-she, YANG Jian-ping, GAO Yun-xin, et al. The resistance method of surveying metal plastic damage and constitutive equation[J]. Natural Science Journal of Xiangtan University, 1989, 11(1): 203–206.Google Scholar
  10. [10]
    LUO Wen-bo, LIU Wen-xian, YANG Ting-qing, et al. Experimental study on crazing damage in polymer[J]. Acta Mechanica Solida Sinica, 2004, 25(2): 171–175. (in Chinese)Google Scholar
  11. [11]
    LEMAITRE J. A continuous damage mechanics model for ductile fracture[J]. Journal of Engineering Materials and Technology, 1985, 107(1): 83–89.CrossRefGoogle Scholar
  12. [12]
    CHABOCHE J L. Continuum damage mechanics: present state and future trends[J]. Nuclear Engineering Design, 1987, 105(1): 19–33.CrossRefGoogle Scholar
  13. [13]
    ZHANG Chun-yuan, ZHANG Wei-min. Elasticity recovery correspondence principles for physically nonlinear viscoelastic problems for a class of materials[J]. International Journal of Solids and Structures, 2001, 38(46/47): 8359–8373.MathSciNetCrossRefGoogle Scholar
  14. [14]
    ZHANG Wei-min. Practical expressions of relaxation modulus and creep compliance[J]. Natural Science Journal of Xiangtan University, 1999, 21(3): 26–28. (in Chinese)Google Scholar

Copyright information

© Central South University Press, Sole distributor outside Mainland China: Springer 2007

Authors and Affiliations

  1. 1.Institute of Fundamental Mechanics and Material EngineeringXiangtan UniversityXiangtanChina
  2. 2.Key Laboratory of Low Dimensional Materials and Application Technology of Ministry of EducationXiangtan UniversityXiangtanChina

Personalised recommendations