Abstract
Stress fields varying in time are typical for dynamic wave problems. Nonclassic problems involve changing of structure properties, especially wave reflection zones or dissipative zones. Stress field propagation requires a variable mesh that allows one to approach the phenomenon with the smallest error in each time step. The space-time approximation of the differential equation of motion enables the modification of the spatial partition into finite elements in a continuous way. Error estimation was the reason to refine and coarsen the spatial partition, moving the nodes towards the zone of higher error. Applying the simplex-shaped space-time elements one can gain the triangular form of coefficient matrix directly in the element matrix assembly process. Consistent characteristic matrices are used. The approach presented was successfully applied for bar, beam and plane strain analysis. The method is more powerful for materially nonlinear cases for which element matrices should be calculated in each time step. Good accuracy of the movable mesh approach was proved in several testing examples.
Published Version
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