Quasistatic evolution in the theory of perfect elasto-plastic plates. Part II: Regularity of bending moments
A. Demyanov
SISSA, Via Beirut 2-4, 34014 Trieste, Italy
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Abstract
We study differentiability of solutions of quasistatic problems for perfect elasto-plastic plates. We prove that in the isotropic case bending moments has locally square-integrable first derivatives: . The result is based on discretization of time and uniform estimates of solutions of the incremental problems, which generalize the estimates in the static case of perfect elasto-plastic plates.
Cite this article
A. Demyanov, Quasistatic evolution in the theory of perfect elasto-plastic plates. Part II: Regularity of bending moments. Ann. Inst. H. Poincaré Anal. Non Linéaire 26 (2009), no. 6, pp. 2137–2163
DOI 10.1016/J.ANIHPC.2009.01.006