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Length-scale effect in stability problems for thin biperiodic cylindrical shells: extended tolerance modelling
Continuum Mechanics and Thermodynamics ( IF 2.6 ) Pub Date : 2020-10-22 , DOI: 10.1007/s00161-020-00937-6
B. Tomczyk , M. Gołąbczak , A. Litawska , A. Gołąbczak

Thin linearly elastic Kirchhoff–Love-type circular cylindrical shells of periodically micro-inhomogeneous structure in circumferential and axial directions (biperiodic shells) are investigated. The aim of this contribution is to formulate and discuss a new averaged nonasymptotic model for the analysis of selected stability problems for these shells. This, so-called, general nonasymptotic tolerance model is derived by applying a certain extended version of the known tolerance modelling procedure. Contrary to the starting exact shell equations with highly oscillating, noncontinuous and periodic coefficients, governing equations of the tolerance model have constant coefficients depending also on a cell size. Hence, the model makes it possible to investigate the effect of a microstructure size on the global shell stability (the length-scale effect).



中文翻译:

薄型双周期圆柱壳在稳定性问题中的尺度效应:扩展公差模型

薄线弹性基尔霍夫-爱型圆筒在圆周方向和轴向方向(周期性微结构不均匀的壳双周期壳)进行了研究。该贡献的目的是为了制定和讨论一种新的平均非渐近模型,用于分析这些壳体的选定稳定性问题。通过应用已知公差建模过程的某个扩展版本,可以得出所谓的一般非渐近公差模型。与具有高振荡,不连续和周期系数的起始精确壳方程相反,公差模型的控制方程具有常数,也取决于像元大小。因此,该模型使研究微观结构尺寸对整体壳体稳定性的影响(长度尺度效应)成为可能。

更新日期:2020-10-30
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