Symplectic solution for three dimensional couple stress problem and its variational principle

• 来源期刊: 力学学报（英文版）
• 年，卷（期）: 2005,（1）
• 页码范围: 70-75
• 页数: 6页
• 语种: 英文

摘要

A new state vector is presented for symplectic solution to three dimensional couple stress problem. Without relying on the analogy relationship, the dual PDEs of couple stress problem are derived by a new state vector. The duality solution methodology in a new form is thus extended to three dimensional couple stress. A new symplectic orthonormality relationship is proved. The symplectic solution to couple stress theory based a new state vector is more accordant with the custom of classical elasticity and is more convenient to process boundary conditions. A Hamilton mixed energy variational principle is derived by the integral method.