Michell truss type theories as a Γ-limit of optimal design in linear elasticity
(2022) Advances in Calculus of Variations — Vol. 15, n° 2, p. 305-322 (2022)
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- Abstract
- We show how to derive (variants of) Michell truss theory in two and three dimensions rigorously as the vanishing weight limit of optimal design problems in linear elasticity in the sense of Γ-convergence. We improve our results from [Olb17] in that our treatment here includes the three dimensional case and that we allow for more general boundary conditions and applied forces.
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Olbermann, H. (2022). Michell truss type theories as a Γ-limit of optimal design in linear elasticity. Advances in Calculus of Variations, 15(2), 305-322. https://doi.org/10.1515/acv-2019-0074 (Original work published 2022)