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Classes | |
class | oomph::DisplacementControlElement |
Displacement control element: In the "normal" formulation of solid mechanics problems, the external load is given and the displacement throughout the solid body is computed. For highly nonlinear problems it is sometimes helpful to re-formulate the problem by prescribing the position of a selected control point and treating the (scalar) load level required to achieve this deformation as an unknown. As an example consider the buckling of pressure-loaded, thin-walled elastic shells. The load-displacement characteristics of such structures tend to be highly nonlinear and bifurcations from the structure's pre-buckling state often occur via sub-critical bifurcations. If we have some a-priori knowledge of the expected deformation (for example, during the non-axisymmetric buckling of a circular cylindrical shell certain material points will be displaced radially inwards), it is advantageous to prescribe the radial displacement of a carefully selected control point and treat the external pressure as an unknown. More... | |
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