论文标题
用于投影对负半金融对称张量的圆锥体的半决赛编程方法，并应用于固体力学
A semidefinite programming approach for the projection onto the cone of negative semidefinite symmetric tensors with applications to solid mechanics
论文作者
论文摘要
我们提出了一种算法，用于计算对称二阶张量的投影在负半意味着对称性张量的锥度相对于由指定的积极确定的四阶张量定义的内部产品的投影提出了Mehrotra的预测 - 矫正器方法。基于直接方法的实现是在理论上和数值上研究的，这些量子在类似砌体的材料的建模中产生了张量。
We propose an algorithm for computing the projection of a symmetric second-order tensor onto the cone of negative semidefinite symmetric tensors with respect to the inner product defined by an assigned positive definite symmetric fourth-order tensor C. The projection problem is written as a semidefinite programming problem and an algorithm based on a primal-dual path-following interior point method coupled with a Mehrotra's predictor-corrector approach is proposed. Implementations based on direct methods are theoretically and numerically investigated taking into account tensors C arising in the modelling of masonry-like materials.
