论文标题
梯度弹性梁的大变形
Large deformations of gradient elastic beams
论文作者
论文摘要
Budiansky的非线性壳理论专门针对2D设置，因此在静态和运动学上概括了梁的应变梯度弹性理论。管理方程式以其弱和强的形式显示。合适的有限元素用于适应该理论中产生的新自由度，显示出较大的几何非线性的数值示例显示了应变梯度的相对影响。然后，在外部磁场的作用下，将数值设备应用于永久磁化物体。
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.
