A Lagrangian for von Karman Equations of Large Deflection Problem of Thin Circular Plate

By the semi-inverse method proposed by He, a Lagrangian is established for the large deflection problem of thin circular plate. Ritz method is used to obtain an approximate analytical solution of the problem. First order approximate solution is obtained, which is similar to those in open literature. By Mathematica a more accurate solution can be deduced.

关于Müller冷度理论的几点注记

<正> 1.引言自六十年代初Coleman-Noll 的开创性工作以来,连续介质热力学蓬勃发展,其中一项重要进展就是冷度(coldness,中译见文,郭仲衡译)概念的引入.西德学者I.Müller 首先提出,人们通常广泛采用(包括Coleman-Noll 的工作)的经典熵流表达式(?)=(?)/T(θ) (1)其中(?)为热流向量,θ为经验温度,T(θ)为绝对温度,可能只适用于热静力学或最简单物质.在热动力学情形,对更一般的介质,熵流(?)应设为待定本构量,因而应当与其他本构函数一样由本构限制(特别是熵不等式)来导出其可能的形式,而没有任何特殊理由先验地