Research Statement
I am working on
- Nonconvex variational problems, especially on structural optimization. Particularly, he optimal layout of materials in a composite, an optimal layout of three and more materials, and related problems of quasiconvex envelopes for multiwell Lagrangians.
- Robust optimization in uncertain conditions, minimax approach.
- Damage propagation in lattice structures, resilient structures, optimization of impacted structures, and compatibility conditions in dense lattices.
Full text of the majority of publications in
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Research Keywords
- Structural optimization
- Optimal microstructure of multiphase composites
- Nonconvex variational problems
- Modeling of structural self-organization
- Dynamics of destructable structures