Finite Element Methods

Isobaric ✘ Isentropic ✘ Isothermal ✘ Isochoric ✔

Path equilibrium process ✘ Cycle equilibrium process ✘ Phase equilibrium process ✘ Quasi-state or quasi-equilibrium process ✔

∂σx/∂x+∂τxy/∂y+∂τxz/∂z =0

✘

∂τxy/∂x+∂σy/∂y+∂τyz/∂z =0

✘

∂τxz/∂x+∂τyz/∂y+∂σz/∂x =0

✘ No such equation exists ✔

Control mass ✘ Control volume ✘ Control energy ✘ Control temperature ✔

Cycle ✘ Path ✘ Phase ✘ Either Path or phase ✔

Mechanical and phase ✘ Thermal and chemical ✘ Thermal, mechanical and chemical ✘ Thermal, phase, mechanical and chemical ✔

1 ✘ 2 ✘ 3 ✘ 4 ✔

In the absence of errors it yields exact solution ✘ Errors arising from round off and truncation may give useless results ✘ Gaussian elimination method is an example ✘ Starts with an initial approximation ✔

Convergence yields a good approximate solution ✘ Insensitive to the growth of round-off errors ✘ Gaussian elimination method is an example ✘ Starts with an initial approximation ✔

Displacements are infinitesimally small ✘ Material is linearly elastic ✘ Externally applied loads are a function of time ✘ Applied loads are not a function of time ✔