A justification of the Timoshenko beam model through Γ-convergence
2017 ◽
Vol 15
(02)
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pp. 261-277
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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 [Formula: see text]-convergence theory, in two steps: firstly, we construct a suitable sequence of energy functionals; secondly, we show that this sequence [Formula: see text]-converges to a functional representing the energy of a Timoshenko beam.
2017 ◽
Vol 30
(5)
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pp. 520-530
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2019 ◽
Vol 223
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pp. 110946
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2014 ◽
Vol 532
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pp. 398-401
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2006 ◽
Vol 46
(15)
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pp. 1901-1912
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