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The stress tensor Section 2.

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Presentation on theme: "The stress tensor Section 2."— Presentation transcript:

1 The stress tensor Section 2

2 “Undeformed” body means…

3 “Deformed” body means…

4 Internal stresses are…

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7 kth component of area element df, which is along outward normal of portion

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11 Moment of forces on portion (torque)

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13 Vanishes if stress is symmetric, TBD

14 Then Mik is a surface integral, as required

15 Hydrostatic compression: Pressure of same magnitude acts on every unit area of the surface of the body along the inward normal.

16 Arbitrary deformation

17 Equilibrium: Internal stresses balance Fi = 0 in every dV

18 External forces applied to body surface appear in equations of equilibrum as boundary conditions

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20 Proof of sik symmetry

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