Variational formulations and general boundary conditions for sixth-order boundary value problems of gradient-elastic Kirchhoff plates
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- 作者：Jarkko Niiranena ; jarkko.niiranen@aalto.fi" class="auth_mail" title="E-mail the corresponding author ; Antti H. Niemib
- 关键词：Strain gradient elasticity ; Kirchhoff plates ; Variational formulation ; Existence ; Uniqueness ; Boundary conditions
- 刊名：European Journal of Mechanics - A/Solids
- 出版年：2017
- 出版时间：January-February 2017
- 年：2017
- 卷：61
- 期：Complete
- 页码：164-179
- 全文大小：909 K
文摘
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Variational formulation within an H3 Sobolev space setting is derived.
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Existence and uniqueness are established by proving continuity and coercivity.
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The main results are extended to a generalization of the studied strain gradient model.
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A comparison to modified strain gradient and couple stress models is accomplished.
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Relationship between natural boundary conditions and external loadings is analyzed.