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Kinematics of a deformable medium
with respect to time 28 Level surfaces 29 Directional derivative
Dynamic concepts and dynamic equations of continuum
4 other sections not shown
affine transformation analogous angular momentum arbitrary assume base vectors basis body called Cartesian coordinate Class closed components concepts consequently Consider consideration constant construction continuous medium continuum mechanics contravariant coordinate system corresponding covariant defined definition deformation denote depend derivatives determined differential direction displacement distributed elasticity element equal equations example exists expression fact field finds finite flow fluid follows forces formulae functions fundamental given grad independent indices individual infinitesimal initial instant integral internal introduce invariant known Lagrangean mass material matrices methods motion moving Note obtains Obviously orthogonal particles particular physical plane potential principal axes problems properties quantities referred relations respect result rotation scalar side solution space strain tensor stream lines stress surface symmetry symmetry group temperature theory tions transformation variables vector velocity volume