Applied Mathematics and Mechanics

, Volume 7, Issue 3, pp 299–303 | Cite as

Determination of expression of continuous damage parameter for non-ageing materials under constant tensile load

  • Cheng Yuan-sheng
Article

Abstract

Under constant uniaxial tensile load continuous damage parameter for non-ageing brittle materials may be expressed as
$$\omega \left( {\frac{P}{{A_0 }}} \right) = g\left( {\frac{P}{{A_0 }}} \right) + f_1 \left( {\frac{P}{{A_0 }}} \right)f_2 \left( t \right)$$

The determination of the expression for g(P/A0) had been pointed out by [4]. But how to determine the expressions for f1(P/A0) and f2(t), the solution to this problem is not yet in sight. Now the solution to this problem is given by the present paper. This paper points out f1(P/A0) f2(t)=Φ(P/A0)t and the method of the determination of the expression for Φ(P/A0).

Keywords

Mathematical Modeling Brittle Industrial Mathematic Tensile Load Brittle Material 

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References

  1. [1]
    Kachanov, L. M., On failure time under conditions of creep. Izv. Akad. Nauk SSSR, OTN, 8 (1958), 26–31. (in Russian)Google Scholar
  2. [2]
    Odqvist, F. K. G. and J. Hult, Some aspect of creep rupture,Arkiv for Fysik,19, 4 (1961), 379–382.Google Scholar
  3. [3]
    Broberg, H., A new criterion for brittle creep rupture,J. Appl. Mech.,41, (1974), 809–811.Google Scholar
  4. [4]
    Piechnik, S. and H. Pachla, Law of continuous damage parameter for non-ageing materials,Engng Fracture Mech.,12, 2 (1979), 199–209.Google Scholar
  5. [5]
    Cheng Yuan-Sheng, A review on the law of continuous damage parameter for non-ageing materials,Engng Fracture Mech.,17, 3 (1983), 211–217.Google Scholar

Copyright information

© Shanghai University of Technology (SUT) 1986

Authors and Affiliations

  • Cheng Yuan-sheng
    • 1
  1. 1.Shanghai Institute of Applied Mathematics and MechanicsShanghai

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