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arXiv · 2411.02786

The incompressible von K\'arm\'an theory for thin prestrained plates

Hui Li
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Abstract

We derive a new version of the von K\'arm\'an energy and the corresponding Euler-Langrange equations, in the context of thin prestrained plates, under the condition of incompressibility relative to the given prestrain. Our derivation uses the theory of $\Gamma$-convergence in the calculus of variations, building on prior techniques in [Conti, Dolzmann (2009)] and [Lewicka, Mahadevan, Pakzad (2011)].

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Hui Li. 2024-11-05. The incompressible von K\'arm\'an theory for thin prestrained plates. https://arxiv.org/abs/2411.02786

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