Question

MC Hw\# 12 Verity the row in \( \left[T_{3}\right] \) and \( \left[T_{3}^{}\right] \) witing the tensitr strees and strain dranstormations \[ \begin{array}{l} v_{k l}^{\prime}=\sigma_{i j} l_{k i} l_{\ell j} \\ \varepsilon_{k l}^{\prime}=\varepsilon_{i j} \ell_{k i} l_{j} \end{array} \] notice \( \gamma_{i j}=2 \varepsilon_{i j} \) for the \( t_{3}^{} \) madoux

          MC Hw\# 12
Verity the row in \( \left[T_{3}\right] \) and \( \left[T_{3}^{*}\right] \) witing the tensitr strees and strain dranstormations
\[
\begin{array}{l}
v_{k l}^{\prime}=\sigma_{i j} l_{k i} l_{\ell j} \\
\varepsilon_{k l}^{\prime}=\varepsilon_{i j} \ell_{k i} l_{j}
\end{array}
\]
notice \( \gamma_{i j}=2 \varepsilon_{i j} \) for the \( t_{3}^{*} \) madoux

MC Hw# 12
Verity the row in [T3] and [T3^*] witing the tensitr strees and strain dranstormations

vk l^'=σi j lk i lℓ j
εk l^'=εi jℓk i lj

notice γi j=2 εi j for the t3^* madoux

Added by Jonathan M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Adi S

Step 1

\[ v_{kl}' = \sigma_{ij} l_{ki} l_{\ell j} \] \[ \varepsilon_{kl}' = \varepsilon_{ij} l_{ki} l_{j} \] Show more…

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MC Hw\# 12 Verity the row in \( \left[T_{3}\right] \) and \( \left[T_{3}^{*}\right] \) witing the tensitr strees and strain dranstormations \[ \begin{array}{l} v_{k l}^{\prime}=\sigma_{i j} l_{k i} l_{\ell j} \\ \varepsilon_{k l}^{\prime}=\varepsilon_{i j} \ell_{k i} l_{j} \end{array} \] notice \( \gamma_{i j}=2 \varepsilon_{i j} \) for the \( t_{3}^{*} \) madoux