| A transformation matrix is provided in a 3 x 3 axis. If the transformation is a, what does the element a(sub12) indicates? | Given two distinct coordinate systems, the second CS can be defined given the cosine value (relationship) between every axis of the original CS and every axis of the new CS. Given the 2 CS has 3 coordinates, the transformation matrix (a) should have a size of 3 x 3, where cos (a(sub12) is the cosine value between axis 1 of original CS and axis 2 of new CS |
| Given c indicates a component in a matrix, if there are 2 independent indices in 3 dimensional space. What is e(sub ij) representing and how many independent entities are there? | e(ij) = e11 + e12 + e13 + e21 + e22 ...... 3 ^ 2 = 9 entities |
| The strain energy/elastic potential energy function is dependent on? | Deformation gradient tensor and a constant determined experimentally |
| What is meant by Isotropy | The quality of a property which does not depend on the direction |
| What is meant by a second order tensor? How many entities/components? How about a 3rd order tensor? | It's by doing a tensor product of two vectors which gives 3^2 (3 as in 3D space, 2 independent indexes hence second order?) = 9 entities |
| What is meant by the invariants/eigenvalues of tensors? | They have the same value in every coordinate system. |
| Why is the linear elastic model not a suitable model for soft tissues | Most soft tissues undergo strains that qualify as large deformation. The stiffness of a soft tissue will change with deformation, unlike a linear elastic model where the stiffness is constant as long as the material is in the elastic range. |
| constitutive equation | a mathematical model used to describe the relationship between stress and deformation |
Drag corresponding items onto each other to make them disappear.
Start Game