Question

1. (10 points) Given the deformation of a skin graft described as $x = \sqrt{2X + 0.8Y}$ $y = 1.5Y$ where $(X, Y)$ are coordinates of the material points in initial undeformed state and $(x, y)$ are that at the deformed state after surgical transplant. Consider the dimension of the skin graft is 1 cm x 1 cm in its initial undeformed state. A) Draw a sketch showing the geometry of the skin graft in its initial undeformed and that at the deformed state after the transplant, B) Find the Greens Strain components for the skin graft, C) Calculate the small strain components, D) What are the % errors with the use of small strain E) What are the (engineering) assumptions you need for your answers supporting the validity of your calculated strains?

          1. (10 points) Given the deformation of a skin graft described as
$x = \sqrt{2X + 0.8Y}$
$y = 1.5Y$
where \((X, Y)\) are coordinates of the material points in initial undeformed state and \((x, y)\) are that at
the deformed state after surgical transplant. Consider the dimension of the skin graft is 1 cm x 1 cm
in its initial undeformed state.
A) Draw a sketch showing the geometry of the skin graft in its initial undeformed and that at the
deformed state after the transplant,
B) Find the Greens Strain components for the skin graft,
C) Calculate the small strain components,
D) What are the % errors with the use of small strain
E) What are the (engineering) assumptions you need for your answers supporting the validity of
your calculated strains?

1. (10 points) Given the deformation of a skin graft described as
x = √(2X + 0.8Y)
y = 1.5Y
where (X, Y) are coordinates of the material points in initial undeformed state and (x, y) are that at
the deformed state after surgical transplant. Consider the dimension of the skin graft is 1 cm x 1 cm
in its initial undeformed state.
A) Draw a sketch showing the geometry of the skin graft in its initial undeformed and that at the
deformed state after the transplant,
B) Find the Greens Strain components for the skin graft,
C) Calculate the small strain components,
D) What are the % errors with the use of small strain
E) What are the (engineering) assumptions you need for your answers supporting the validity of
your calculated strains?

Added by John F.

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