plane elasticity
2.Based on the theory of plane elasticity,the stresses of double layer bar are represented by two arbitrary functions. By using the variational principle of minimum complementary energy,the stresses of double layer bar are obtained with thermal variance,a pair of tensile forces and a pair of couples acting at two ends of the lower layer. The interlaminar stresses are distributed at the ends of the bar.
3.Hamiltonian system for plane anisotropic elasticity and analytical solutions of Saint|Venant problem
4.Firstly, the mixed energy variational principle and Hamiltonian dual equations are presented for plane anisotropic elasticity, which is based on the Hellinger|Reissner variational principle, so the method of separation of variable and eigenfunction expansion method are derived to solve the anisotropic elasticity, i.e. a new systematic methodology for plane anisotropic elasticity is presented. Then direct method with zero eigenfunction expansion is derived to solve the analytical solution of Saint|Venant for plane anisotropic elasticity in strip domain.
6.First of all,Laurent series expansions of stress and displacement fields satisfying all of the governing equations of plane problems in theory of elasticity are derived.
