On the Bending and Twisting of Rods with Misfit
Source abstract
Abstract
We derive a one-dimensional variational problem representing the elastic energy of a rod with misfit, starting from a nonlinear, three-dimensional elastic energy with nontrivial preferred strain. Our approach to dimension reduction is to find a Gamma-limit as the thickness of the rod tends to 0. The limiting energy is a quadratic function of the rates at which the rod bends and twists, and we give explicit expressions for the preferred curvature and twist in the special case of isotropic elastic moduli.
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Research context
OpenAlex topics: Advanced Materials and Mechanics · Elasticity and Material Modeling · Structural Analysis and Optimization
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References (37)
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