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Bounds on Precipitate Hardening of Line and Surface Defects in Solids
Luca Courte, Kaushik Bhattacharya, Patrick Dondl
The yield behavior of crystalline solids is determined by the motion of defects like dislocations, twin boundaries and coherent phase boundaries. These solids are hardened by intro…
Optimal design of a model energy conversion device
Lincoln Collins, Kaushik Bhattacharya
Fuel cells, batteries, thermochemical and other energy conversion devices involve the transport of a number of (electro-)chemical species through distinct materials so that they ca…
Effective behavior of nematic elastomer membranes
Pierluigi Cesana, Paul Plucinsky, Kaushik Bhattacharya
We derive the effective energy density of thin membranes of liquid crystal elastomers as the Gamma-limit of a widely used bulk model. These membranes can display fine-scale feature…
Plates with incompatible prestrain
Kaushik Bhattacharya, Marta Lewicka, Mathias Schäffner
We study the effective elastic behavior of incompatibly prestrained plates, where the prestrain is independent of thickness as well as uniform through the thickness. We model such…
Effective behavior of an interface propagating through a periodic elastic medium
Patrick W. Dondl, Kaushik Bhattacharya
We consider a moving interface that is coupled to an elliptic equation in a heterogeneous medium. The problem is motivated by the study of displacive solid-solid phase transformati…