1.

What is the correct form of the principle of virtual displacements applied to plane finite elastic element If Ve is the volume of element and se is its surface?

A. 0= ( int_{V_e} )( <sub>ij</sub> <sub>ij</sub>+ u <sub>i</sub> u<sub>i</sub>)dV- ( int_{V_e} )f<sub>i</sub> u<sub>i</sub>dV- <sub>s<sub>e</sub></sub> ( hat{t_i} ) u<sub>i</sub>ds
B. 0= ( int_{V_e} )( <sub>ij</sub> <sub>ij</sub>+ u <sub>i</sub> u<sub>i</sub>)dV- ( int_{V_e} )f<sub>i</sub> u<sub>i</sub>dV- <sub>s<sub>e</sub></sub> ( hat{t_i} ) u<sub>i</sub>ds
C. 0= ( int_{V_e} )( <sub>ij</sub> <sub>ij</sub>+ u <sub>i</sub> u<sub>i</sub>)dV+ ( int_{V_e} )f<sub>i</sub> u<sub>i</sub>dV- <sub>s<sub>e</sub></sub> ( hat{t_i} ) u<sub>i</sub>ds
D. 0= ( int_{V_e} )( <sub>ij</sub> <sub>ij</sub>+ u <sub>i</sub> u<sub>i</sub>)dV ( int_{V_e} )f<sub>i</sub> u<sub>i</sub>dV+ <sub>s<sub>e</sub></sub> ( hat{t_i} ) u<sub>i</sub>ds
Answer» B. 0= ( int_{V_e} )( <sub>ij</sub> <sub>ij</sub>+ u <sub>i</sub> u<sub>i</sub>)dV- ( int_{V_e} )f<sub>i</sub> u<sub>i</sub>dV- <sub>s<sub>e</sub></sub> ( hat{t_i} ) u<sub>i</sub>ds


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