群变换 meaning in English
group translating
Examples
- With the method of the lie group transformation , the symmetry of the equation governing one dimensional finite strain consolidation is discussed and , from the point of the symmetry , the feasibility to obtain the analytical solution of these nonlinear partial differential equations is discussed . where - after exact or approximate analytical solutions focused on different consolidation problems are obtained , these including : under some assumptions of relations of the void ratio with coefficient of permeability and effective stress , the method of lie group transformation is applied to solve the non - linear partial differential equation of large strain consolidation of homogenous saturated clay soil in semi - infinite domain with the consideration of the material and geometrical nonlinearity during consolidation procession . the implicit exact solution without considering the effect of self - weight of soil is obtained
运用lie群变换方法讨论了一维大应变非线性固结方程的对称性，以及在该对称性的意义下求解这类非线性偏微分方程解析解答的可能性，并就大应变非线性固结问题的多种情况求得了其完整的或者近似的解析解答，具体包括：基于有效应力与孔隙比以及渗透系数与孔隙比之间的关系的一些假定，采用李群变换求解考虑材料非线性和几何非线性的半无限均质土体大变形固结非线性偏微分方程，得到了一个不考虑自重固结的完全解析解。