Mechanics and geometry of nonlinear cracks: A complex stress-function approach
ORAL
Abstract
A central method for solving linear elastic problems in domains of low symmetry is by complexifying the elastic potential and using conformal maps to transform the domain of interest to a simpler one, e.g. from a crack to a circular hole. The elastic fields calculated at the vicinity of a crack in this approach are not small, and therefore question the validity of linear elasticity. Here we present a new method that allows us to generalise the complex function approach to nonlinear elasticity. We implement our method to solve the nonlinear problem of a crack, and upon comparing with earlier attempt to this problem we address open questions about the (un)ambiguity of this mechanical problem.
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Presenters
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Oran Szachter
The Racah Institute of Physics, Hebrew University of Jerusalem
Authors
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Oran Szachter
The Racah Institute of Physics, Hebrew University of Jerusalem
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Michael Moshe
Hebrew University, The Racah Institute of Physics, Hebrew University of Jerusalem
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Eytan Katzav
Hebrew University of Jerusalem, The Racah Institute of Physics, Hebrew University of Jerusalem