...
首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >Geometrically non-linear elastic model for a thin composite layer with wavy surfaces
【24h】

Geometrically non-linear elastic model for a thin composite layer with wavy surfaces

机译:带波浪表面的薄复合层的几何非线性弹性模型

获取原文
获取原文并翻译 | 示例
           

摘要

The geometrically non-linear elastic thin composite layer model is developed through the application of the modified asymptotic homogenization method. The set of local unit cell problems and the analytical formulae for the effective stiffness moduli of the non-linear homogenized plate accounting the higher order terms of the asymptotic expansions are derived. They make it possible to gain useful insight into the manner in which the geometrical and mechanical properties of the individual constituents affect the elastic properties of the composite layer with wavy surfaces. It is shown that in the limiting case of a homogeneous layer of constant thickness the derived asymptotic homogenization model converges to the geometrically non-linear mean-flexure plate theory. And the obtained expressions for the mid-surface strains converge to von Kármán's formulae. The derived non-linear homogenization model is illustrated by an example of a laminated plate.
机译:通过应用改性渐近均质化方法,开发了几何非线性弹性薄复合层模型。 派对局部单位细胞问题和非线性均质板的有效刚度模量的分析公式占渐近扩展的高阶项。 它们可以使有用的见解成为各个成分的几何和力学性能影响复合层的具有波浪表面的弹性性能的方式。 结果表明,在恒定厚度的均匀层的限制情况下,衍生的渐近均化模型会聚到几何非线性平均弯曲板理论。 所获得的中表面菌株的表达会聚到vonKármán的公式。 通过层压板的示例说明了衍生的非线性均匀化模型。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号