Page 213 - Introduction to Continuum Mechanics
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198 Stress
Example 4.10.1
The deformed configuration of a body is described by
If the Cauehy stress tensor for this body is
(a) What is the corresponding first Piola-Kirchhoff stress tensor.
(b) What is the corresponding second Piola-Kirchhoff stress tensor.
Solution. From Eqs. (i), we have
detF = 1
Thus, from Eq. (4.10.6a), we have, the first Piola-Kirchhoff stress tensor:
The second Piola-Kirchhoff stress tensor is, from Eq. (4.10.11)
