摘要
本文以不同模量弹性平面问题为例,提出了不同模量弹性力学的有限元法,并指出此法与相同模量的有限元法的异同之处。根本不同点在于不同的弹性矩阵[D]和数值计算的试算法。本文还通过三个具体算例说明不同模量的影响,并与相同模量的有限元法结果加以比较,从中看出新型材料——玻璃钢、陶瓷、塑料、岩石、混凝土,某些特种金属材料等的不同模量性对其工程结构的力学影响。
This paper present a finite element method for elasticity with different moduli by means of a two-dimensional elastic example with different moduli of elasticity in tension and compression.It points out that the differences between the present method and the method for the identical modulus of elasticity are mainly the differences of the matrices of elasticity [D] as well as the trying methods in numerical calculation. Three concrete examples are given for indicating the effects because of the different moduli of elasticity, while the comparison between the results obtained from the finite element methods with different and identical moduli of elasticity are given too. It demonstrates that owing to the new materials such as glass fibre reinforced plastic, ceramic, plastic,rock,concrete and some special materials of metal having the properties of different moduli of elasticity in tension and compression, these properties show certainly the mechanical influernces to engineering structures.
