On van Wyk's Theory Concerning the Compression of Fiber Assemblies
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概要
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The theory of van yk concerning behaviour of fiber assemblies under compression, to the authors opinion, may make an important mistake of overlooking the substantial thickness of fibers. In this paper some corrections and experiments are shown with discussions, and a suitable form of the theoretical expression for practical use is proposed.<BR>The resin obtained were as follows : <BR>1) p∝Y(2m/ρ){1/3 1/υ<SUP>3</SUP>+2/4(2m/ρ)1/υ<SUP>4</SUP>+3/5(2m/ρ)1/υ<SUP>5</SUP>-const}, <BR>where p is the compressive pressure ; υ, the apparent height of the fiber assembly ; Y, the Young's modnlus ; m, the mass of sample; ρ, the density of the substantial ass of fibers, and 2m/υ corresponds to the substantial height of the fiber assembly. The result of van Wyk is equal to that given by the first term of the above equation.<BR>2) The result of our theory as well as that of van yk shall not be appled directly to the usual method of compression tests. It is originated mainly in the bulging effect in the lateral side of cylindrical sample when compressed. We suppose, however, that experiments exspeecr imentots verify qualitatively our theory.<BR>3) Provided our theory is used for small load of compression. the reasonable relation may b derived as follows : ΔΙ/Δt-ΔΙ=1/λ(ω<SUB>0</SUB>+pressure)<BR>with differential form, whereΔΙ is the substantial height of an elementary layer of the fiberassembly, Δt its apparent height and λ and ω<SUB>0</SUB> constants concerning the sample. The bulging effect, transformed to a pressure, may be added into the pressure term of equation.
- 社団法人 日本繊維機械学会の論文