A material having the properties given in Problem 4.3 is subjected to a biaxial tension test, and
Question:
A material having the properties given in Problem 4.3 is subjected to a biaxial tension test, and the biaxial failure stress is found to be \(\sigma_{1}=\sigma_{2}=35 \mathrm{MPa}\). Determine the Tsai-Wu interaction parameter \(\mathrm{F}_{12}\) and then use the Tsai\(\mathrm{Wu}\) criterion to determine whether or not failure will occur for the stress condition \(\sigma_{1}=100 \mathrm{MPa}, \sigma_{2}=-50 \mathrm{MPa}\), and \(\sigma_{1}=90 \mathrm{MPa}\).
Problem 4.3
An orthotropic lamina has the following properties:
\[E_{1}=160 \mathrm{GPa} \quad s_{\mathrm{L}}^{(+)}=1800 \mathrm{MPa}\]
\[\begin{aligned} & E_{2}=10 \mathrm{GPa} \quad s_{\mathrm{L}}^{(-)}=1400 \mathrm{MPa} \\ & v_{12}=0.3 \quad s_{\mathrm{T}}^{(+)}=40 \mathrm{MPa} \\ & G_{12}=7 \mathrm{GPa} \quad s_{\mathrm{T}}^{(-)}=230 \mathrm{MPa} \\ & s_{\mathrm{LT}}=100 \mathrm{MPa} \end{aligned}\]
Construct the failure surfaces in the \(\sigma_{1}-\sigma_{2}\) stress space for this material according to:
• the maximum stress criterion,
• the maximum strain criterion, and
• the Tsai-Hill criterion.
Step by Step Answer:
Principles Of Composite Material Mechanics
ISBN: 9781498720694
4th Edition
Authors: Ronald F. Gibson