Elasticity/Kinematic admissibility
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Kinematically admissible displacement field[edit | edit source]
Consider a body with a boundary with an applied body force field .
Suppose that displacement BCs are prescribed on the part of the boundary .
Suppose also that traction BCs are applied on the portion of the boundary .
A displacement field is kinematically admissible if
- satisfies the displacement boundary conditions on .
- is continuously differentiable, i.e. .
- .
A kinematically admissible displacement field needs only to satisfy compatibility condition and the displacement boundary conditions - but not the traction boundary conditions or equilibrium.
Recall that a kinematically admissible displacement field is used to define the principle of minimum potential energy.