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Underplane strain condition, what is the value of εyy if the problem is characterized by the displacement field ux=2x+3y, uy=5y2, and uz=0?a) 10yb) 5yc) 3d) 0 5.For a plane strain problem, the relation between stress and strain components for an orthotropic material is σ=Cε. Which option is the correct structure of the matrix C?

A. 10yb) 5yc) 3d) 0 5.For a plane strain problem, the relation between stress and strain components for an orthotropic material is σ=Cε. Which option is the correct structure of the matrix C?a) \(\begin{pmatrix}\bar{c}_{11} & \bar{c}_{12} & 0 \\\bar{c}_{12} & \bar{c}_{22} & 0 \\0 & 0 & \bar{c}_{66} \end{pmatrix}\)
B. 5yc) 3d) 0 5.For a plane strain problem, the relation between stress and strain components for an orthotropic material is σ=Cε. Which option is the correct structure of the matrix C?a) \(\begin{pmatrix}\bar{c}_{11} & \bar{c}_{12} & 0 \\\bar{c}_{12} & \bar{c}_{22} & 0 \\0 & 0 & \bar{c}_{66} \end{pmatrix}\) b) \(\begin{pmatrix}\bar{c}_{11} & 0 & \bar{c}_{13} \\\bar{c}_{12} & \bar{c}_{22} & 0 \\0 & 0 & \bar{c}_{66} \end{pmatrix}\)
C. 3d) 0 5.For a plane strain problem, the relation between stress and strain components for an orthotropic material is σ=Cε. Which option is the correct structure of the matrix C?a) \(\begin{pmatrix}\bar{c}_{11} & \bar{c}_{12} & 0 \\\bar{c}_{12} & \bar{c}_{22} & 0 \\0 & 0 & \bar{c}_{66} \end{pmatrix}\) b) \(\begin{pmatrix}\bar{c}_{11} & 0 & \bar{c}_{13} \\\bar{c}_{12} & \bar{c}_{22} & 0 \\0 & 0 & \bar{c}_{66} \end{pmatrix}\) c) \(\begin{pmatrix}\bar{c}_{11} & \bar{c}_{12} & 0 \\-\bar{c}_{12} & \bar{c}_{22} & 0 \\0 & 0 & \bar{c}_{66} \end{pmatrix}\)
D. 0 5.For a plane strain problem, the relation between stress and strain components for an orthotropic material is σ=Cε. Which option is the correct structure of the matrix C?a) \(\begin{pmatrix}\bar{c}_{11} & \bar{c}_{12} & 0 \\\bar{c}_{12} & \bar{c}_{22} & 0 \\0 & 0 & \bar{c}_{66} \end{pmatrix}\) b) \(\begin{pmatrix}\bar{c}_{11} & 0 & \bar{c}_{13} \\\bar{c}_{12} & \bar{c}_{22} & 0 \\0 & 0 & \bar{c}_{66} \end{pmatrix}\) c) \(\begin{pmatrix}\bar{c}_{11} & \bar{c}_{12} & 0 \\-\bar{c}_{12} & \bar{c}_{22} & 0 \\0 & 0 & \bar{c}_{66} \end{pmatrix}\) d) \(\begin{pmatrix}\bar{c}_{11} & -\bar{c}_{12} & 0 \\\bar{c}_{12} & \bar{c}_{22} & 0 \\0 & 0 & \bar{c}_{66} \end{pmatrix}\) View Answer
Answer» B. 5yc) 3d) 0 5.For a plane strain problem, the relation between stress and strain components for an orthotropic material is σ=Cε. Which option is the correct structure of the matrix C?a) \(\begin{pmatrix}\bar{c}_{11} & \bar{c}_{12} & 0 \\\bar{c}_{12} & \bar{c}_{22} & 0 \\0 & 0 & \bar{c}_{66} \end{pmatrix}\) b) \(\begin{pmatrix}\bar{c}_{11} & 0 & \bar{c}_{13} \\\bar{c}_{12} & \bar{c}_{22} & 0 \\0 & 0 & \bar{c}_{66} \end{pmatrix}\)


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