@20.05 mins, i think the component form is not correct because how can the function have three components for single deformation, f1 f2 f3 doesnt exist.
the function is not scalar but it is a vector function. Hence, it has three components. The three components f1,f2,f3 give the three coordinates (along the three coordinate axis) of a general point in the deformed body
The deformation results in the displacement of point in a 3-D space ( object is solid) and that displacement vector is a result of three functions that gives the displacement at each axis (x, y, z). Stefy Jose your view is correct provided that displacement occurred only in a single axis not in a 3-D space.
@20.05 mins, i think the component form is not correct because how can the function have three components for single deformation, f1 f2 f3 doesnt exist.
the function is not scalar but it is a vector function. Hence, it has three components. The three components f1,f2,f3 give the three coordinates (along the three coordinate axis) of a general point in the deformed body
The deformation results in the displacement of point in a 3-D space ( object is solid) and that displacement vector is a result of three functions that gives the displacement at each axis (x, y, z). Stefy Jose your view is correct provided that displacement occurred only in a single axis not in a 3-D space.