Principles of Classical Mechanics and Field Theory

acceleration applied arbitrary assumed axes body boundary called Chap classical co-ordinates components condition connection consider constant continuous corresponding curve defined definition deformation derivatives determined differential dimensions direction displacement dynamics element energy equations equivalent example exist expressed field finite fixed fluid follows force formula frame function given gives grad hence holds independent integral invariant linear lines mass material Math mean measure mechanics momentum motion moving necessary normal obtain orthogonal particle particular physical plane positive possible potential present principle problem proper quantities reduces reference regarded relations relative respect result rigid rotation satisfy scalar Sect shear simple singular solution space speed steady strain stress sufficient surface symmetric tensor theorem theory transformation unit values vanish vector velocity write yields