论文标题
具有弱对称性的轴对称弹性方程的近似
Approximation of the Axisymmetric Elasticity Equations with Weak Symmetry
论文作者
论文摘要
在本文中，我们考虑了轴对称三维结构域中的线性弹性问题，该数据具有轴对称性并且具有零角分的数据。三维问题的弱公式将子午线域上的二维问题减少，涉及加权积分。该问题是在混合方法框架中提出的，其应力和位移被视为未知数。应力张量的对称条件弱施加。显示了连续弱公式及其离散化的良好姿势。讨论了两个近似空间，并提出了相应的数值计算。
In this article we consider the linear elasticity problem in an axisymmetric three dimensional domain, with data which are axisymmetric and have zero angular component. The weak formulation of the the three dimensional problem reduces to a two dimensional problem on the meridian domain, involving weighted integrals. The problem is formulated in a mixed method framework with both the stress and displacement treated as unknowns. The symmetry condition for the stress tensor is weakly imposed. Well posedness of the continuous weak formulation and its discretization are shown. Two approximation spaces are discussed and corresponding numerical computations presented.
