Applied Mathematics and Mechanics

, Volume 7, Issue 3, pp 299–303

# 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
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

## 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