Topology optimization is concerned with determining optimal layout of a specified amount of given materials within a design domain that optimizes the desired performance measures. Performance can be measured in terms of compliance (maximizing stiffness), energy absorption capacity, wave propagation properties, etc.
- Topology optimization of nonlinear systems.
- Metamaterial designs using topology optimization.
- Multiscale material design using topology optimization.
- Development of novel material systems using additive manufacturing.
- Isogeometric methods in topology optimization.
- Geometric and material nonlinearities in topology optimization.
- Sensitivity analyses of complex nonlinear coupled transient systems.
- Uncertainty quantification in topology optimization.
- Level set methods for topology optimization.
- Dual methods for nonconvex topology optimization.