论文标题
大量应变和大量位移问题的块耦合有限体积方法
A block-coupled Finite Volume methodology for problems of large strain and large displacement
论文作者
论文摘要
非线性块耦合有限体积方法是用于大型位移和大应变状态的。新方法使用在原始完全耦合的细胞中以线性弹性为中心的正常面部衍生化离散化方法，以实现线性弹性，这意味着可以轻松扩展现有的块耦合实现，以包括有限菌株。给出了新方法的详细信息，包括在使用线性动量方程定义的残留功能上使用牛顿 - 拉夫森程序。许多2D基准的情况表明，与隔离程序相比，新方法显示出较小数量级和更高收敛速率的误差。
A nonlinear block-coupled Finite Volume methodology is developed for large displacement and large strain regime. The new methodology uses the same normal and tangential face derivative discretisations found in the original fully coupled cell-centred Finite Volume solution methodology for linear elasticity, meaning that existing block-coupled implementations may easily be extended to include finite strains. Details are given of the novel approach, including use of the Newton-Raphson procedure on a residual functional defined using the linear momentum equation. A number of 2-D benchmark cases have shown that, compared with a segregated procedure, the new approach exhibits errors with many orders of magnitude smaller and a much higher convergence rate.
