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By Hans Ziegler

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A c c o m p a n y i n g Ρ d u r i n g its m o t i o n , i n d i c a t e d in F i g . 2 . 1 b y d a s h e d lines a n d d e f i n e d b y r e q u i r i n g t h a t its o r i g i n b e a l w a y s a t Ρ a n d t h a t its a x e s b e a l w a y s p a r a l l e l t o t h e a x e s Xj o f t h e o r i g i n a l r e f e r e n c e s y s t e m . T h i s a u x i l i a r y c o o r d i n a t e s y s t e m will b e r e f e r r e d t o a s t h e accompanying of change of a n y tensor system. /> a l w a y s d e n o t e d b y a d o t .

Stresses acting on an infinitesimal tetrahedron. (i=j) a n d t h e shear stresses (/=£/) a c t i n g o n t h e e l e m e n t . T h e s t r e s s e s give rise t o s e c o n d - o r d e r f o r c e s , w h e r e a s t h e b o d y a n d t h e inertia forces acting o n t h e element of Fig. 2 a r e of t h e third o r d e r a n d h e n c e m a y b e d i s r e g a r d e d ( a s well a s t h e s t r e s s d i f f e r e n c e b e t w e e n t h e o b l i q u e face a n d t h e s u r f a c e e l e m e n t p a r a l l e l t o it p a s s i n g t h r o u g h P).

I n a p u r e l y kinematical description the forces responsible for the motion are d i s r e g a r d e d . T h e m o t i o n is k n o w n a s s o o n a s t h e c o n f i g u r a t i o n o f t h e b o d y is s p e c i f i e d as a function of time. If t h e m o t i o n is k n o w n for an i n f i n i t e s i m a l t i m e i n t e r v a l [t,/ + d / ] , i . e . , if t h e i n s t a n t a n e o u s c h a n g e o f c o n f i g u r a t i o n is p r e s c r i b e d , w e s a y t h a t w e k n o w t h e state of motion at t i m e t.

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