板壳多变量变分原理

对平面弹性及板弯曲提出了多变量变分原理，两方面互相模拟。多变量变分原理涵盖了平衡、位移－应变、协调、应用－应力函数，物性五类方程，将胡－鹫变分原理及类胡鹫变分原理融合为一体。在此基础上综合两者给出了扁壳的多变量变分原理。

Multi variable variational principles for plates and shells

Firstly, the multi variable variational principles are presented for plane elasticity and plate bending problems, and the analogy relationship is shown for both sides. The variational principle covers five classes of equaitons of displacementstrain, compatibility, equilibrium, stress function stress, and constitutive relations, and also combines the Hu Washizu as well as Pro HW variational principles into one. Then based on both the plane elasticity and plate bending ones, the shallow shell multi variable variational principle is proposed.