复合材料层板精化理论两类推导方法的一致性

Identity of Two Kinds of Methods Deducing the Refined Theories for Composite Laminates

复合材料层板精化理论是一类变量少、精度高的理论,便于发展成有限元等数值方法,应用广泛。在推导精化理论时,由于位移场假设形式的不同,可以得到不同形式的理论,但其本质可能属于同一理论。从实例和理论两个方面予以论证,可以使以后的研究者避免重复性的工作。

The refined theories for composite laminates, boasting of few variables and high accuracy, can be conveniently adopted in such numerical methods as finite elements. The difference in the forms of assumed displacement fields may result in two kinds of refined theories with different forms. However, they may be the same theory in essence. Such a conclusion is proved theoretically and by existing examples, which may help researchers to avoid repeated work in future studies.