...
首页> 外文期刊>Mathematics and mechanics of solids: MMS >Modeling the collagen fibril network of biological tissues as a nonlinearly elastic material using a continuous volume fraction distribution function
【24h】

Modeling the collagen fibril network of biological tissues as a nonlinearly elastic material using a continuous volume fraction distribution function

机译:使用连续体积分数分布函数将生物组织的胶原纤维网络建模为非线性弹性材料

获取原文
获取原文并翻译 | 示例
           

摘要

Despite distinct mechanical functions, biological soft tissues have a common microstructure in which a ground matrix is reinforced by a collagen fibril network. The microstructural properties of the collagen network contribute to continuum mechanical tissue properties that are strongly anisotropic with tensile-compressive asymmetry. In this study, a novel approach based on a continuous distribution of collagen fibril volume fractions is developed to model fibril reinforced soft tissues as nonlinearly elastic and anisotropic material. Compared with other approaches that use a normalized number of fibrils for the definition of the distribution function, this representation is based on a distribution parameter (i.e. volume fraction) that is commonly measured experimentally while also incorporating pre-stress of the collagen fibril network in a tissue natural configuration. After motivating the form of the collagen strain energy function, examples are provided for two volume fraction distribution functions. Consequently, collagen second-Piola Kirchhoff stress and elasticity tensors are derived, first in general form and then specifically for a model that may be used for immature bovine articular cartilage. It is shown that the proposed strain energy is a convex function of the deformation gradient tensor and, thus, is suitable for the formation of a polyconvex tissue strain energy function.
机译:尽管具有独特的机械功能,生物软组织仍具有共同的微观结构,其中的胶原蛋白原纤维网络可增强地面基质。胶原蛋白网络的微观结构性质有助于具有拉伸-压缩不对称性的强烈各向异性的连续机械组织性质。在这项研究中,开发了一种基于胶原原纤维体积分数连续分布的新方法,以将原纤维增强的软组织建模为非线性弹性和各向异性的材料。与使用归一化数量的原纤维来定义分布函数的其他方法相比,此表示基于通常通过实验测量的分布参数(即体积分数),同时还将胶原原纤维网络的预应力纳入了组织的自然形态。在激发胶原应变能函数的形式之后,提供了两个体积分数分布函数的例子。因此,首先以一般形式,然后是针对可用于未成熟牛关节软骨的模型,导出了第二胶原-Piola Kirchhoff应力和弹性张量。结果表明,所提出的应变能是形变梯度张量的凸函数,因此适合于形成多凸组织应变能函数。

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