The two theories gave a nearly satisfactory solution for a problem about the mysterious flexibility shown in high-energy-rate-forming of a hard metal. The one is the deformation theory of zero-thickness-plate under lateral impact, and the other that of strain-wave-stracture which states about the thickness-criterion indicating the limit of application of the zero-thickness-theory, using the strain-wave which is deduced from the same theory. But it was found afterwards that the theoretical wave form differed a little from the observed one. And to clean up discrepancy and related conflicts, New Deformation Theory has been developed, under the consideration of the plate thickness δ
0. The main results are summarized as follows:
1. If we consider merely the changing profile of a thin plate, its deformation is well explained by the theory of zero-thickness-plate.
2. If the strain of plate comes into question, there must be considered the longitudinal elongation infront of the material point where the maximum curvature
K0 occurs. The strain e is given by: ε=1/2
K0δ
0(δ
c/γ
c-γ)
2(γ
t/ξ-γ/γ
c)
2, where : the velocity of propagation of the maximum curvature
K0 along the plate, γ
c: that of sound, ξ the original coordinate of the specific particle-point on the material-plate, and
t: the time measured from the instant when the impact begins.
3. In the portion by where the maximum curvature has past, the strain ε increases from 1/2
K0δ
0 to 1/2(
U/
c)
2, where
c: the horizontal velocity of propagation of the maximum curvature
K0 relative to the space-fixed-coordinate-system, and there the deforming motion occurs almost entirely in accordance with the theory of zero-thickness-plate.
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