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  • Stress A Tensor

    arundtelang

    Member

    Updated: Oct 26, 2024
    Views: 887
    Second order Tensor is an open product of two vectors. Stress is also a second order Tensor. Open product of which two vectors constitute a stress tensor?
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  • ISHAN TOPRE

    Member • Aug 18, 2012

    #-Link-Snipped-# sir, can help us. I am too confused with the same doubt. Also how is cauchy's theorem related to it?
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  • arundtelang

    Member • Aug 19, 2012

    Issue
    #-Link-Snipped-# sir, can help us. I am too confused with the same doubt. Also how is cauchy's theorem related to it?
    Cauchy’s equation gives resultant stress vector {σ}, at a point, on a plane defined by unit normal {n}, in terms of a stress tensor [τ].
    {σ}=[τ]{n}.
    It says that a stress tensor maps unit normal to a plane, at a point, as a resultant stress vector. Cauchy’s equation clearly makes out that a stress at a point cannot be a scalar or a vector. It has to be a second order tensor.
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