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Earth and Space Sciences · 术语表

什么是 Extension, stretch, shear strain?

又称: extension (strain) · stretch · shear strain

Definition 16.7 University Earth and Space Sciences — Year 1 · 第 16 章 — Stress, Strain and Rheology

A line of material of length ℓ0\ell_0 deformed to the length ℓ\ell has the extension e=(ℓ−ℓ0)/ℓ0e = (\ell - \ell_0)/\ell_0 and the stretch S=ℓ/ℓ0=1+eS = \ell/\ell_0 = 1 + e; a shortening is a negative extension, a stretch below 1. Two lines of material that were perpendicular and now make the angle 90∘−ψ90{}^{\circ} - \psi have been sheared by the angle ψ\psi, and the shear strain is γ=tan⁡ψ\gamma = \tan\psi.

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