Optimizing properties on the critical rigidity manifold of underconstrained central-force networks

This dataset can be used to generate the figures from the article of the same name published in Physical Review E. These include images of examples of optimized network configurations, distributions and size scaling of several metrics describing network structure and elastic response, optimization time series data, and movies of the optimization process for several objective functions.
Our goal is to develop a design framework for multifunctional mechanical metamaterials that can tune their rigidity while optimizing other desired properties. Towards this goal, we first demonstrate that underconstrained central force networks possess a critical rigidity manifold of codimension one in the space of their physical constraints. We describe how the geometry of this manifold generates a natural parameterization in terms of the states of self-stress, and then use this parameterization to numerically generate disordered network structures that are on the critical rigidity manifold and also optim..., This dataset was generated by in-house simulations and analysis of disordered networks written in C++ and Python using standard computing packages (Eigen, NumPy, SciPy)., , # Optimizing properties on the critical rigidity manifold of underconstrained central-force networks

[https://doi.org/10.5061/dryad.m0cfxppf1](https://doi.org/10.5061/dryad.m0cfxppf1)

## Description of the data and file structure

This dataset was generated by in-house simulations and analysis of disordered networks written in C++ and Python using standard computing packages (Eigen, NumPy, SciPy). It contains examples of network configurations that have been optimized for various objective functions, distributions and size scaling of several metrics describing network structure and elastic response, optimization time series data, and sequences of configurations from the optimization process.

### Files and variables

#### NetworkConfigs/

The directory NetworkConfigs/ contains the data used in Figure 3, which shows multiple optimized configurations of a given network structure. It contains the following files:

These two files describe the topology of the network, which is common for ...