Exam 2 Quantative Flashcards
The Cauchy Stress Tensor is in what configuration
Deformed
The 1st PK is in what configuration
Both
The 2nd PK is in what configuration
Undeformed
Is the Cauchy Stress Tensor symmetric?
Yes
Is the 1st PK symmetric?
No
Is the 2nd PK symmetric?
Yes
The conjugate strain/deformation tensors to the Cauch Stress are
ε, B (left cauchy deformation tensor)
The conjugate strain/deformation tensors to the 1st PK are
F
The conjugate strain/deformation tensors to the 2nd PK are
E, C (right cauchy deformation tensor)
What is B called and what coordinate system is it in and how it is mapped
Left Cauchy Deformation Tensor;
Deformed (Current)
B = FF^T
What is C called and what coordinate system is it in and how it is mapped
Right Cauchy Deformation Tensor;
Undeformed (Reference)
C = F^TF
Graphically, the strain energy density is
The area under the stress strain curve
