MISC¶
Comparison explicit and implicit time integrations¶
Explicit method | Implicit method | |
---|---|---|
Target problems | Dynamic(transient) | Static and dynamic(transient) |
Damping | Artificial damping | Numerical damping |
Time stepping method | Matrix multiplication | Linear algebra equations |
Assemble stiffness matrix | No | Yes |
Data storage requirement | Small | Large |
Solving speed each step | Quick | Mediate |
Iteration convergence | No | Yes |
Solution | Certain solution | Could be uncertain solution |
Stability | Conditionally stable | Unconditionally stable |
Time step | Small | Large |
Accuracy | Low | High |
Strain-stress curve | Suitable Mooney-Rivlin model | Parameter requirement for positive definiteness |
---|---|---|
No inflection point (single curvature) | 2- or 3-parameter | C10 + C01 > 0 |
One inflection point (double curvature) | 5-parameter | C10 + C01 > 0 |
Two inflection points | 9-parameter | C10 + C01 > 0 |