An elastic–viscoplastic constitutive law is implemented in the formulations of a curved quadrilateral element based on thin shell theory. The element surface is defined using variable‐order polynomials allowing representation of a wide range of shell geometries. The large displacement effects are included by using an incremental stiffness procedure together with the Lagrangian mode of description of motion. The time rate effects may be treated by using explicit, semi‐explicit or implicit time marching schemes. A scheme for automatic calculation of time step is used. By allowing steady‐state conditions to be reached, plasticity solutions are obtained. Both perfect plasticity and strain hardening are considered. The Von Mises yield rule and the associated flow rule are used to determine plastic deformation. The spread of plasticity in the thickness direction is allowed by using a layered model. The procedures developed are applied to solve elastic‐plastic, small and large displacement problems of thin plates and shells and the results obtained are compared with existing solutions to illustrate the validity and accuracy of the present developments.
|Original language||English (US)|
|Number of pages||13|
|Journal||International Journal for Numerical Methods in Engineering|
|State||Published - Jan 1 1985|
All Science Journal Classification (ASJC) codes
- Applied Mathematics
- Numerical Analysis