1.

In FEM, which option is the correct weak form of the following momentum equation?
( frac{ partial v_x}{ partial t}- frac{ partial sigma _{xx}}{ partial x}- frac{ partial sigma_{xy}}{ partial y}-f_x )=0

A. l ( int_{ Omega_e}[ rho w_1 frac{ partial v_x}{ partial t}+ frac{ partial w_1}{ partial x} sigma_{xx}+ frac{ partial w_1}{ partial y} sigma_{xy}-w_1 f_x] )dxdy+ <sub> <sub>c</sub></sub> w<sub>1</sub>( <sub>xx</sub>n<sub>x</sub>+ <sub>xy</sub>n<sub>y</sub>)ds=0
B. l ( int_{ Omega_e}[ rho w_1 frac{ partial v_x}{ partial t}+ frac{ partial w_1}{ partial x} sigma_{xx}+ frac{ partial w_1}{ partial y} sigma_{xy}-w_1 f_x] )dxdy=0
C. l ( int_{ Omega_e}[ rho w_1 frac{ partial v_x}{ partial t}+ frac{ partial w_1}{ partial x} sigma_{xx}+ frac{ partial w_1}{ partial y} sigma_{xy}-w_1 f_x] )dxdy+ <sub> <sub>c</sub></sub> w<sub>1</sub>( <sub>xx</sub>+ <sub>xy</sub>)ds=0
D. l ( int_{ Omega_e} w_1[ rho frac{ partial v_x}{ partial t}- frac{ partial sigma_{xx}}{ partial x}- frac{ partial sigma_{xy}}{ partial y}-f_x] )dxdy++ <sub> <sub>c</sub></sub> w<sub>1</sub>( <sub>xx</sub>n<sub>x</sub>+ <sub>xy</sub>n<sub>y</sub>)ds=0
Answer» B. l ( int_{ Omega_e}[ rho w_1 frac{ partial v_x}{ partial t}+ frac{ partial w_1}{ partial x} sigma_{xx}+ frac{ partial w_1}{ partial y} sigma_{xy}-w_1 f_x] )dxdy=0


Discussion

No Comment Found

Related MCQs