ME85-Lecture29 - Lecture 29 Transformations of Stress...

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Lecture 29 Transformations of Stress
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Cauchy Stress Tensor In 1824, Augustin Cauchy found that one can use the traction vectors on three independent planes to represent the stress state at one material point. By which, we mean that one can use the trac- tion components of three independent planes to uniquely represent those infinite possibilities. In practice, we usually use the traction components on three mutually perpendicular planes to represent the stress state at one material point. Augstin Louis Cauchy (1787-1857) French mathematician: `` Man dies, but his work lives.’’
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Recall: Cauchy Stress
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The most general state of stress at a point may be represented by 6 components, ) , , : (Note stresses shearing , , stresses normal , , xz zx zy yz yx xy zx yz xy z y x ττ τ σ = = = Same state of stress is represented by a different set of components if axes are rotated. The first part of the chapter is concerned with
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This note was uploaded on 01/21/2012 for the course C 85 taught by Professor Papadopoulos during the Spring '08 term at University of California, Berkeley.

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ME85-Lecture29 - Lecture 29 Transformations of Stress...

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