Question

Consider a unit cube in the undeformed configuration. Let the cube be subjected to the deformation map given by: Derive expressions for the following (a) Deformation gradient F (b) Green deformation tensor C (c) Lagrangian strain tensor E (d) Linearized strain tensor a (e) Stretch A of a line segment at point X 2E - E2 E oriented in the direction m, 3E +4E,) (f) Stretch λ of a line segment at point X = 2E-E, + E, oriented in the direction m,- ( 3E2-4E3 ) (g) The angle θ between ma and m, in the deformed configuration

Answer 1

Givey 1+312 112x2 axi け2XX3 3 11 Green defo mathbn tensor X32 13 0 2. steu'n fen so

4 Pinear Ce 2 XiX2 2 사는 늦 Ou2 사원 '의 au ou2 み 2 DU그 2 3 2 2. 2. 21代3 2.