首页> 外文期刊>Computers & Structures >A generalized micromorphic approach accounting for variation and dispersion of preferred material directions
【24h】

A generalized micromorphic approach accounting for variation and dispersion of preferred material directions

机译:占优选材料方向变化和分散的广义微观方法

获取原文
获取原文并翻译 | 示例

摘要

Materials exhibiting a heterogeneous and non-uniform composition in terms of elastic and anisotropic properties such as biological tissues require special efforts to accurately describe their constitutive behavior. In contrast to classical models, micromorphic formulations can predict the macroscopically observable material response as originated from distinct scale-dependent micro-structural deformation mechanisms. This is facilitated by additional independent degrees of freedom and associated additional strain and stress quantities. Here, a generalized continuum is mathematically constructed from a macro-continuum and a micro-continuum which are both adequately coupled on kinematics and constitutive levels as well as by micro-boundary conditions. In view of biomechanical modeling, the potential of the formulation is studied for a number of academic examples characterized by an anisotropic material composition to elucidate the micromorphic material response as compared with the one obtained using a classical continuum mechanics approach. The results demonstrate the ability of the generalized continuum approach to address non-affine elastic reorientation of the preferred material direction in the macro-space and its dispersion in the micro-space as affecting deformation, strain and stress on the macroscopic level. In particular, if the anisotropy in the micromorphic formulation is solely linked to the extra degrees of freedom and associated strain and stress measures, the deformation for small and large strains is shown to be distinctly different to the classical response. Together with the ability to implicitly account for scale-dependent higher-order deformation effects in the constitutive law the proposed generalized micromorphic formulation provides an advanced description, especially for fibrous biological materials. (C) 2017 Elsevier Ltd. All rights reserved.
机译:在弹性和各向异性特性(如生物组织)方面表现出异构和非均匀组合物的材料需要特别努力准确描述其本构体行为。与经典模型相反,微晶体制剂可以预测宏观观察的材料响应,从不同的尺度依赖性微结构变形机构相比。通过额外的独立自由度和相关的额外应变和应力量来促进这一点。这里,广义连续体是由宏 - 连续体的数学构建和微连续体,其既充分耦合在运动学和本构体含量和微边界条件上。考虑到生物力学建模,研究了配方的潜力,其特征在于各向异性材料组合物,其与使用经典连续式机械方法获得的各向异性材料组合物相比,阐明微观材料响应。结果证明了广义连续方法在微观空间中解决优选的材料方向的非仿射物弹性重新定向的能力,以及在微空间中的分散,因为影响宏观水平的变形,应变和应力。特别地,如果微观配方中的各向异性单独连接到额外的自由度和相关的应变和应力测量,则显示小型和大菌株的变形明显不同于经典反应。在本组则法中隐含地解释规模依赖性高阶变形效果的能力,所提出的广义微观制剂提供了高级描述,特别是对于纤维生物材料。 (c)2017 Elsevier Ltd.保留所有权利。

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