Computational treatment of transient problems in nonlinear structural mechanics
The explicit treatment of transient structural problems is analysed. The advantage of an explicit time integration scheme is the possibility of testing equilibrium directly on the current configuration, considering the true (i.e. Cauchy) stresses acting on the structure. This is possible by an application of the virtual work principle in its original form, without any necessity for iterating. Due to the presence of history dependent (elasto-plastic) material behaviour, it is preferable to keep to the material points and a Lagrangian mesh description is used. To put the equations into a time discretised form requires attention, in particular for geometrically nonlinear problems. The integration of constitutive equations (stress update) is considered in the frame of elasto-plastic modelling and with respect to the presence of large rotations and large strains. Finally some considerations relative to program structure are made.
Bibliographic Reference: Article: Advances in Computational Nonlinear Mechanics, 1989, published by CISM-SPRINGER, Udine (IT)
Record Number: 198910578 / Last updated on: 1994-12-01
Original language: en
Available languages: en