硬化材料弹塑性高精元二次规划解的自校正理论及应用

建立了自校正参变量势能变分原理，并建立起相应的高精有限元计算格式；在推导各向同性硬化材料的加载面线化方程的基础上，建立起弹塑性问题的高精元二次规划解格式；该算法方案涉及大规模数值计算，由此，对大规模二次规划求解策略进行了研究，并由算例验证了其正确性和可行性。提出的理论与算法体系对于计算大型工程机械产品的构件内力与形变有广泛的应用前景。

Self-corrective Theory of Quadratic Programming Solution for High-Precise Finite Element in Isotropic Hardening Elasto-Plastic Materials

This paper puts forward a new self-corrective parameterized variational principle, and designs a numerical procedure for high-precise finite element computation under this principle. Based on rigorously deducing the linear loading face of isotropic hardening materials, a quadratic programming solution format of high-precise finite element for elasto-plastic problem is suggested, which involves with large scale numerical computation. Therefore, the computer solving algorithm and techniques for the quadratic programming problem are worked in details, and the correctness and applicability for this numerical procedure is validated through a hole centered plate under uniform Ioadings.