ESS112-lect-11-09stress-1

ESS112-lect-11-09stress-1 - Structural Geology: Lecture 13...

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Structural Geology: Lecture 13 Stressful stuff: If you do not attend the following lectures, it will be hard for you to understand the stuff outlined in the power-point presentation.
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Stress 1. What is stress? 2. How does it differ from force ?
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Classification of forces 1. Surface and body force 2. Internal and external force 3. Traction and stress Qualitatively, stress is surface and also internal force, but its rigorous definition can only be expressed in a tensor form.
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Area = A Traction T = ϭ 1 = F/A n is the normal to plane A Ɵ F F Area = A Ɵ = A/ cos Ɵ Traction T Ɵ = F/ A Ɵ T Ɵ = F/(A/ cos ) Ɵ = (F x cos )/A= Ɵ ϭ 1 cos Ɵ F Ɵ n One-dimensional derivation of normal and shear stress components and their relationships to the maximum principal stress T Ɵ n = T Ɵ cos = Ɵ ϭ 1 cos 2 Ɵ T Ɵ t = T Ɵ sin = Ɵ ϭ 1 cos Ɵ sin Ɵ
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σ τ 2 sin 2 sin cos 2 cos 1 2 1 2 1 = = + = + = - = = = = n n n n =
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ESS112-lect-11-09stress-1 - Structural Geology: Lecture 13...

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