BMO and Elasticity: Korn’s Inequality; Local Uniqueness in Tension

Daniel E. Spector, Scott J. Spector*

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

1 引文 斯高帕斯(Scopus)

摘要

In this manuscript two BMO estimates are obtained, one for Linear Elasticity and one for Nonlinear Elasticity. It is first shown that the BMO-seminorm of the gradient of a vector-valued mapping is bounded above by a constant times the BMO-seminorm of the symmetric part of its gradient, that is, a Korn inequality in BMO. The uniqueness of equilibrium for a finite deformation whose principal stresses are everywhere nonnegative is then considered. It is shown that when the second variation of the energy, when considered as a function of the strain, is uniformly positive definite at such an equilibrium solution, then there is a BMO-neighborhood in strain space where there are no other equilibrium solutions.

原文英語
頁(從 - 到)85-109
頁數25
期刊Journal of Elasticity
143
發行號1
DOIs
出版狀態已發佈 - 2021 一月
對外發佈

ASJC Scopus subject areas

  • 材料科學(全部)
  • 材料力學
  • 機械工業

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