Bending of a plate from a functionally heterogeneous material in the presence of large deformations

Details and elements of structures, which are made functionally heterogeneous materials have the property shape memory behave pseudo-elastically, may be under influence complex loads in process manufacturing operation. Uneven heating bodies combination with force factors can lead to large deformations material deformation processes. The existing models behavior such do not take into account nonlinearity geometric relationships unsuitable for use deformations.
 article deals bending a plate finite dimensions from presence plastic deformations. simulation is based on nonlinear phenomenological model that describes properties alloys thermos-pseudo-plastic at point. A diagram pseudo-elastic consisting three curved sections used.
 first feature formulation problem specifying area boundary conditions around support. If linear they set only along support line, then refine geometrically solution, zero vertical displacements points and, accordingly, speed movement were vicinity contact second refinement significant reduction number coordinate integration steps (up 5%). At same time, order fulfill condition stability, proportional step over time necessary. For reliable comparison results, it necessary increase while decreasing by coordinates. This was solved using sequence numerical experiments. third consists solving additional interpolation required values nodes new finer grid corresponding value main grid. two-dimensional spline function.