Elastic Mechanics Analysis of Prestressing Force in Round Structure Caused by Manufacture Discrepancy;

Memory law of radial coordinates formula of elastic mechanics;

Study of the elastic mechanics problem in narrow rectanglar girder by the singularity function;

Utilize differential equation to find out the solutions of plane problems in elasticity;

Boundary contour method based on the eqvivalent BIE of two dimensional linear elasticity;

Reproducing kernel particle method with complex variables for elasticity;

Cellular automata for analysis of plane problems in theory of elasticity;

While Hamiltonian system was led to solution of elastic theory a new systematic methodology for theory of elasticity was established and a symplectic orthogonality relationship was presented (Zhong Wanxie, 1995).

In a new systematic methodology for theory of elasticity a new dual differential matrix is presented by changing the order of the dual vectors in reference and a new orthogonality relationship is found and proved for isotropic problems of three-dimensional theory of elasticity.

The method of sum function to solve plane problem of mechanics of elasticity has also been complemented,and the area of practicle problem to be solved by means of mechanics of elasticity has .

By expressing the non-continuous loads of a plane problem in the mechanics of elasticity in terms of derivate or integral of δ function and expanding them into Fourier series,such loads can be transformered into continuous surface forces a long the whole boundary, that much simplify the solution of the boundary conditions and the problem itself.

In this paper the importance of stress positive-negative regularity on tilt section in plane problem of mechanics of elasticity is introduced and the regularity is proved.