非线性系统
经典力学
弹性(物理)
有限元法
动作(物理)
自由度(物理和化学)
物理
非线性弹性
有限应变理论
数学分析
数学
机械
几何学
量子力学
热力学
作者
Marcelo Epstein,Mohammadjavad Javadi
标识
DOI:10.1016/j.ijengsci.2023.103827
摘要
Budiansky’s nonlinear shell theory is particularized to a 2D setting, and thereupon generalized to a fully nonlinear, statically and kinematically exact, theory of strain-gradient elasticity of beams. The governing equations are displayed in their weak and strong forms. A suitable finite element is used to accommodate the new degrees of freedom emanating from the theory and several numerical examples with large geometrical nonlinearities are displayed showing the relative influence of the strain gradient. The numerical apparatus is then applied to permanently magnetized bodies under the action of external magnetic fields.
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