Cosserat Continuum Mechanics by Ioannis Vardoulakis (Deceased)

Author:Ioannis Vardoulakis (Deceased)
Language: eng
Format: epub, pdf
ISBN: 9783319951560
Publisher: Springer International Publishing

(5.66)

Thus, the spin and the velocity of a sub-particle inside the (REV) is given by the von Mises motor that characterizes the rigid-body motion of the sub-particles,

(5.67)

In this case we have that

(5.68)

With these results we return to the momentum balance Eq. (5.35), that is written now as follows,

(5.69)

Its local form reads,

(5.70)

In general curvilinear coordinates the dynamic Eq. (5.70) takes the following form,

(5.71)

5.5 Exercises: Dynamic Equations in Plane Problems

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