Abstract
Results of dam** measurements for mild steel under biaxial dynamic stresses are discussed. Experimental methods are described, and a phenomenological theory of dam** is presented to set the context for the discussion. The experiments indicate that dilatational as well as distortional stresses are important in the dam** of polycrystalline materials.
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Abbreviations
- a :
-
plate radius, in
- D :
-
specific dam** energy, in.-lb/in.3/cycle
- E :
-
Young's modulus of elasticity, lb/in.2
- h :
-
thickness, in
- L :
-
beam length, in
- n :
-
dam** exponent
- R :
-
ratio of biaxial dam** to uniaxial\(dam**=D (\bar \sigma ^* , \eta ) / D (\bar \sigma ^* , 1)\)
- S :
-
amplitude of sinusoidal uniaxial stress, lb/in.2
- δ:
-
logarithmic decrement of decaying vibrations
- η:
-
normal-to-shear stress\( =\sigma/ \bar \sigma \)
- λ:
-
parameter for dilatational participation in determining dam**
- ν:
-
Poisson's ratio
- \( \bar \sigma \) :
-
effective distortional stress amplitude, lb/in.2
- σ:
-
effective dilatational stress amplitude, lb/in.2
- σ n :
-
effective combined stress amplitude proposed by Mentel, lb/in.2
- σ x , σ y , σ z ,τ xy , τ yz , τ zx :
-
components of stress for Cartesian coordinates, lb/in.2
References
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Whittier, J.S. Hysteretic dam** of structural materials under biaxial dynamic stresses. Experimental Mechanics 2, 321–328 (1962). https://doi.org/10.1007/BF02326136
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DOI: https://doi.org/10.1007/BF02326136