Material Buckling
Materials buckling is the buckling of a homogeneous configuration with respect to material properties only. If we redefine in terms of purely material properties (and assume the fundamental mode), we have:
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As stated previously, the geometric buckling is defined as:
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Solving for k (in the fundamental mode),
;
thus,
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Assuming the reactor is in a critical state (k = 1),
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This expression is in purely material properties; therefore, this is called the materials buckling:
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Read more about this topic: Geometric And Material Buckling
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“When science is learned in love, and its powers are wielded by love, they will appear the supplements and continuations of the material creation.”
—Ralph Waldo Emerson (1803–1882)