期刊
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
卷 126, 期 -, 页码 67-78出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijmecsci.2017.02.017
关键词
Nonlocal-nonlocal second-order computational homogenization; C-1 finite element; Gradient boundary conditions; Aifantis strain gradient theory
资金
- Croatian Science Foundation under the project Multiscale Numerical Modeling of Material Deformation Responses from Macro- to Nanolevel [IP-11-2013, 2516]
Realistic description of heterogeneous material behavior demands more accurate modeling at macroscopic and microscopic scales. In this frame, the multiscale techniques employing homogenization scheme offer several solutions. Most recently developed two-scale scheme employing second-order homogenization requires the nonlocal theory at the macrolevel, while the classical local continuum theory is kept at the microlevel. In this paper, a new second-order computational homogenization scheme is proposed employing the higher-order theory at both macro- and microlevel. Discretization is performed by means of the C-1 finite element developed using the strain gradient theory. The new gradient boundary conditions employed on representative volume element (RVE) are derived. The relation between the internal length scale parameter and the RVE size has been found. The new procedure is tested on a benchmark example, where the results have been compared to the solutions obtained by the usual second-order homogenization using the local concept on the RVE.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据