(a) in Rectangular Cartesian Coordinates with unit base vectors e1, e2, e3 a state of stress...

 

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(a) in Rectangular Cartesian Coordinates with unit base vectors e1, e2, e3 a state of stress at a point within the material is given by Cauchy stress tensor 100 a b a 100 C C 100 Determine the constants a, b, c so that the stress vector O on the octahedral plane becomes zero. [ (b) The figure below shows load-displacement curves for biological tissue subjected to uniaxial tension. All tissue samples were circular in shape and experimentally tested at one of three orientations: 0°, 450 and 90°. Solid lines and discrete points indicate the finite element predictions and experimental measurements respectively. Diamonds, crosses and triangles indicate measurements taken at 0°, 45° and 90° respectively. 1.5- Centre 1- point 0.5- 6. Relative displacement of grips (mm) Identify a type of constitutive model (isotropic elastic, anisotropic elastic, isotropic hyperelastic, anisotropic hyperelastic) that would be the most appropriate to simulate the mechanical behaviour of this biological tissue. Justify your choice. [4 marks) Load on grip (N) (a) in Rectangular Cartesian Coordinates with unit base vectors e1, e2, e3 a state of stress at a point within the material is given by Cauchy stress tensor 100 a b a 100 C C 100 Determine the constants a, b, c so that the stress vector O on the octahedral plane becomes zero. [ (b) The figure below shows load-displacement curves for biological tissue subjected to uniaxial tension. All tissue samples were circular in shape and experimentally tested at one of three orientations: 0°, 450 and 90°. Solid lines and discrete points indicate the finite element predictions and experimental measurements respectively. Diamonds, crosses and triangles indicate measurements taken at 0°, 45° and 90° respectively. 1.5- Centre 1- point 0.5- 6. Relative displacement of grips (mm) Identify a type of constitutive model (isotropic elastic, anisotropic elastic, isotropic hyperelastic, anisotropic hyperelastic) that would be the most appropriate to simulate the mechanical behaviour of this biological tissue. Justify your choice. [4 marks) Load on grip (N)

Answer rating: 100% (QA)

Solution b Clearly from the plots the material behavior is different in all three directions H... View the full answer