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On the basis of classical lamination theory and large deflection hypotheses of plate, the equilibrium and compatibility equations of simply supported composite laminated plates were obtained. The nonlinear partial differential equations are transformed into the ordinary differential equations of Kronecker tensor product by series expansion and solved numerically by the fourth-order Runge-Kutta method.
基於经典的层合板理论及板的大挠度基本假设,得到四边简支层合板的非线性运动方程及变形协调方程;用级数展开把非线性偏微分方程组化为易於求解的Kronecker张量积形式的二阶常微分方程组,并由四阶Runge-Kutta法数值求解。
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In the process of investigation on the torsional effect of quartz crystal, mirror symmetric conservative law is applied to ascertain the connection between the physical characteristics of leftwards spiral crystals and rightwards spiral crystals.
面对工程界对左旋石英晶体压电性质的描述不统一的现状,从晶体螺旋对称的本质出发,应用宇称不变性明确地建立了左、右旋晶体这两种客观实在物质的物理性质之间的联系,给出了建立这种联系的方法,并应用到了左旋石英晶体的三阶压电张量和四阶弹性张量的确定中。
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A comment of criterions of microcrack sliding is given; then a new sliding criterion in this thesis is put forward.
应用能量原理推导了张拉微裂纹的四阶均匀化刚度张量和四阶切线均匀化刚度张量。
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tetradic:四阶张量
tetrad 四个 | tetradic 四阶张量 | tetradymite 辉碲铋矿