Parameters, Variables, & Functions Blog Posts
Fractals, Noise, and State Variables
Ever notice how the leaves of a fern seem to show a self-repeating pattern? Fractals are objects that exhibit some form of self-similarity at different scales. Learn how to model them here.
Keynote Video: Rapid Prototyping for Sonar Systems
Engineers at Northrop Grumman follow a 4-part rapid prototyping design phase: Design, manufacturing a prototype, testing and design verification, and manufacturing of the final design.
Accelerating Model Convergence with Symbolic Differentiation
Whenever you set up and solve a nonlinear problem in COMSOL Multiphysics, a symbolic differentiation engine is automatically used to ensure high robustness and accelerate model convergence.
Implementing a Damage Evolution Law for a Hyperelastic Material
By implementing a physically motivated damage evolution law for a hyperelastic material, you can incorporate material softening, creep, and stabilization of hysteresis curves during cycling.
Estimating Hyperelastic Material Parameters via a Lap Joint Shear Test
For rubber, polymers, and biological tissue, the relationship between stress and strain is nonlinear, even at small loads. The lap joint shear test can be used to determine material properties.
How to Use State Variables in COMSOL Multiphysics®
As of COMSOL Multiphysics® version 5.5, you can use state variables to track the state of your model; affect other fields, such as material properties; and even implement hysteresis.
How to Perform a Sensitivity Analysis in COMSOL Multiphysics®
How do the parameters of your design affect its performance? Understanding this relationship is a valuable part of the design process. By performing a sensitivity analysis, you can do just that.
Defeating Giant Movie Monsters Using Mathematical Modeling
The predator-prey equation can predict how we’d fare in a monster invasion, as well as real-world biology and ecology scenarios like shark overpopulation and tumor movement.
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