Abstract
In this paper the so-called Theory of Critical Distances is reformulated to make it suitable for estimating the strength of notched metals subjected to dynamic loading. The TCD takes as its starting point the assumption that engineering materials’ strength can accurately be predicted by directly post-processing the entire linear-elastic stress field acting on the material in the vicinity of the stress concentrator being assessed. In order to extend the used of the TCD to situations involving dynamic loading, the hypothesis is formed that the required critical distance (which is treated as a material property) varies as the loading rate increases. The accuracy and reliability of this novel reformulation of the TCD was checked against a number of experimental results generated by testing notched cylindrical bars of Al6063-T5. This validation exercise allowed us to prove that the TCD (applied in the form of the Point, Line, and Area Method) is capable of estimates falling within an error interval of ±20%. This result is very promising especially in light of the fact that such a design method can be used in situations of practical interest without the need for explicitly modelling the non-linear stress vs. strain dynamic behaviour of metals.
Highlights
I t is well-known that, at room temperature, the mechanical behaviour of engineering materials under quasi-static loading is different from their behaviour under dynamic loading [1]
This paper reports on a attempt of reformulating the so-called Theory of Critical Distances (TCD) [11] to make it suitable for estimating the dynamic strength of metals weakened by finite radius notches, the stress analysis being performed by accommodating the material non-linearities into a linear-elastic constitutive law
1) The proposed reformulation of the TCD was seen to be successful in estimating the strength of the notched specimens of Al6063-T5 we tested under both quasi-static and dynamic axial loading
Summary
I t is well-known that, at room temperature, the mechanical behaviour of engineering materials under quasi-static loading is different from their behaviour under dynamic loading [1]. There exists no universally accepted method which can be used in situations of practical interest to efficiently assess notched metallic components subjected to inservice dynamic loading. In this complex scenario, this paper reports on a attempt of reformulating the so-called Theory of Critical Distances (TCD) [11] to make it suitable for estimating the dynamic strength of metals weakened by finite radius notches, the stress analysis being performed by accommodating the material non-linearities into a linear-elastic constitutive law
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