Question

1) Suppose that the motion of a continuous medium is given by 쾨-x, cos(At) + x, sin(A) »,--x, sin(A) +», cos(A) where A and B are constants. Both coordinates are cartesian. Determine the components of a) the displacement, velocity and acceleration vectors in the materiallagrangian) description the displacement, velocity and acceleration vectors in the spatial (Eulerian) description c) the green(material) strain component ea at tels d) The Pioa-Kirchoff stress tensor component Sat tls e) If the temperature T in the continuum in the spatial description is given by b) 7(z,t) = t z2 Determine the time derivatives of T in the two descriptions.

Answer 1

0 t au) uYrenl Dspare me ] '시-22 (sinAt) Sinal + ll@1M-1)4:/M +7,CO, A in .hwi way )Mefal shain Cempontrl 0 7-7% 243, 234 2 JZ2dt 그石+ In above equatin