Abstract
A non-linear vector equilibrium/constitutive differential equation governing an elastica is directly simulated without decomposition. The solution is obtained using repeated applications of a truncated Taylor's expansion to advance along the elastica. Lacking a vector data type in Fortran 77, the complex data type is used for direct two-dimensional simulations. Rapid convergence and good accuracy are observed for sufficiently small increments using single precision. Numerical results for both nodal and undulating elastica are presented. Good agreement is shown with existing alternative solutions.
Original language | English (US) |
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Pages (from-to) | 201-211 |
Number of pages | 11 |
Journal | International Journal of Solids and Structures |
Volume | 25 |
Issue number | 2 |
DOIs | |
State | Published - 1989 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Modeling and Simulation
- General Materials Science
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
- Applied Mathematics