linear symmetry group 中文意思是什麼

linear symmetry group 解釋
線對稱群
  • linear : adj. 1. 線的，直線的。2. 長度的。3. 【數學】一次的，線性的。4. 【動、植】線狀的；細長的。5. 由線條組成的，以線條為主的，強調線條的。
  • symmetry : n. 對稱；勻稱；調和；勻稱美。 bilateral symmetry 左右對稱。 radial symmetry 輻射對稱。
  • group : n 1 群；批，簇。2 集團，團體，小組。3 【化學】基，團，組；（周期表的）屬，族。4 （雕塑等的）群像...
  1. 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

    運用lie群變換方法討論了一維大應變非線性固結方程的對稱性，以及在該對稱性的意義下求解這類非線性偏微分方程解析解答的可能性，並就大應變非線性固結問題的多種情況求得了其完整的或者近似的解析解答，具體包括：基於有效應力與孔隙比以及滲透系數與孔隙比之間的關系的一些假定，採用李群變換求解考慮材料非線性和幾何非線性的半無限均質土體大變形固結非線性偏微分方程，得到了一個不考慮自重固結的完全解析解。
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