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首页> 外文期刊>International Journal of Solids and Structures >Modeling thin films applying an extended continuum theory based on a scalar-valued order parameter. Part I: isothermal case
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Modeling thin films applying an extended continuum theory based on a scalar-valued order parameter. Part I: isothermal case

机译:使用基于标量值阶数参数的扩展连续体理论对薄膜进行建模。第一部分:恒温箱

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In the current work we develop a thermo-mechanically consistent model describing the behavior of thin polymeric films. In industrial applications of such thin films, e.g. in bonding metal sheets in automotive industry, boundary layers and, as a further result, scale effects depending on the thickness of the film are observed (see e.g. [Toney et a]., 1995; Frank et al., 1996; J. Polym. Sci., Part B: Polym. Phys. 40 (2001) 2343-2353]). In contrast to the well-analyzed size effects in many other micro-structured materials, e.g. granular materials, porous materials or foams (see e.g. [Int. J. Mech. Sci. 43 (2001) 701-713] or [Proc. R. Soc. London A 458 (2002) 2869-2883]), the macroscopic behavior of the former material differs completely from an experimental point of view. In the analyzed polymeric films a weaker zone at the boundary of the film is observed in comparison with the stiffer material behavior of the bulk material. To capture these and more general types of boundary layer effects, we develop an extended continuum model based on a scalarvalued order parameter following the line of [Continua with Microstructures. Vol. 35 of Springer Tracts in Natural Philosophy. Springer, New York, 1980; Meccanica 17 (1982) 80-84; Ann. Mater. Pura Appl. 135 (1983) 1-25; Continuum Mech. Thermodyn. 4 (1999) 247-262]. (C) 2004 Elsevier Ltd. All rights reserved.
机译:在当前的工作中,我们开发了一个热力学一致的模型,该模型描述了聚合物薄膜的行为。在这样的薄膜的工业应用中,例如。在汽车工业的金属板粘合中,观察到边界层,并进一步观察到取决于薄膜厚度的结垢效应(参见[Toney等,1995; Frank等,1996; J.Polym (Sci。,B部分:Polym.Phys.40(2001)2343-2353])。与许多其他微结构材料中的尺寸分析结果相反,例如颗粒状材料,多孔材料或泡沫材料(例如,参见[Int。J. Mech。Sci。43(2001)701-713]或[Proc。R. Soc。London A 458(2002)2869-2883]),宏观行为从实验的角度来看,前一种材料的完全不同。在所分析的聚合物膜中,与块状材料的较硬的材料行为相比,在膜的边界处观察到较弱的区域。为了捕获这些以及更多类型的边界层效应,我们基于标量值有序参数,沿着[具有微结构的连续体]的线,开发了一个扩展的连续体模型。卷《自然哲学史》中的35条。纽约,施普林格,1980年; Meccanica 17(1982)80-84;安母校普拉应用135(1983)1-25;连续机械。 Thermodyn。 4(1999)247-262]。 (C)2004 Elsevier Ltd.保留所有权利。

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