[請益] 關於Material hardening的問題

[crazybox99 (鳥沈)]

An isotropic strain hardening material in cylindrical form is stressed in
uniaxial tension so that its cross-sectional area reduces from A0 to A1.
A strip of the same material is also compressed in plane strain from thickness
h0 to h1. The reduction r=1-A1/A0=1-h1/h0 is the smae in both cases. Which, if
either, is likely to be hardened more by the reduction, be cylinder or be
strip? Why?




完全不知從何下手？

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推 gamer:從strain去判斷吧，截面積是R^2量次，所以面積和厚度縮減一
→ gamer:樣百分比的狀況，實際上長度改變的應變應只有R^1/2量次，假
→ gamer:設材料的應力應變曲線是positive hardening的，塑性應變量越
→ gamer:大者，應該硬化的程度越高。
→ gamer:因為沒有實際的數據，所以用這樣推論，不然如果考慮到蒲松比
→ gamer:還有實際材料硬化的行為，很有可能出現完全相反的結論