6 citations · 8 across the 8 of their papers we have counts for
11 papers
Design of resilient structures by randomization and bistability
Debdeep Bhattacharya, Tyler P. Evans, Andrej Cherkaev
This paper examines various ways of improving the impact resilience of protective structures. Such structures' purpose is to dissipate an impact's energy while avoiding cracking an…
Compatibility Conditions for Discrete Planar Structure
Andrejs Treibergs, Andrej Cherkaev, Predrag Krtolica
Compatibility conditions are investigated for planar network structures consisting of nodes and connecting bars; these conditions restrict the elongations of bars and are analogous…
Dynamics and stationary configurations of heterogeneous foams
Dong Wang, Andrej Cherkaev, Braxton Osting
We consider the variational foam model, where the goal is to minimize the total surface area of a collection of bubbles subject to the constraint that the volume of each bubble is…
Phase transformations surfaces and exact energy lower bounds
Mikhail A. Antimonov, Andrej Cherkaev, Alexander Freidin
The paper investigates two-phase microstructures of optimal 3D composites that store minimal elastic energy in a given strain field. The composite is made of two linear isotropic m…
Variational Methods for Optimal Multimaterial Composites and Optimal Design
Andrej Cherkaev
The paper outlines novel variational technique for finding microstructures of optimal multimaterial composites, bounds of composites properties, and multimaterial optimal designs.…
A Note on Optimal Design of Multiphase Elastic Structures
Nathan Briggs, Andrej Cherkaev, Grzegorz Dzierzanowski
The paper describes the first exact results in optimal design of three-phase elastic structures. Two isotropic materials, the "strong" and the "weak" one, are laid out with void in…