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A Justification of the Timoshenko Beam Model through $\boldsymbolΓ$-Convergence (1502.01552v1)
Published 5 Feb 2015 in math-ph and math.MP
Abstract: We validate the Timoshenko beam model as an approximation of the linear-elasticity model of a three-dimensional beam-like body. Our validation is achieved within the framework of $\Gamma$-convergence theory, in two steps: firstly, we construct a suitable sequence of energy functionals; secondly, we show that this sequence $\Gamma$-converges to a functional representing the energy of a Timoshenko beam.
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