A Generalized Micromechanics of Continuous-Filament Yarns. Part I: Underlying Formalism
A Generalized Micromechanics of Continuous-Filament Yarns. Part I: Underlying Formalism
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连续长丝纱线的广义微观力学。
DOI：
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发表时间：
2001
期刊：
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通讯作者：
T. Komori
中科院分区：
文献类型：
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作者：
T. Komori
提出了一种本构理论，根据结构参数和构成模量来预测加捻长丝纱在大伸长率下的应力应变行为。如果已知局部表观密度和纤维方向的初始分布以及任意应变下平行纤维束的几个弹性模量作为基本信息，该理论可以预测局部应力和应变的径向分布以及载荷与伸长率的关系。基础数学的发展是为了在指定纱线取向结构的特殊假设（例如圆柱螺旋模型、圆锥螺旋模型等）生效之前得到解决，并且避免大多数早期理论所存在的关键问题，即假设仅对无限小变形有效的近似对于有限伸长率的缺陷。
A constitutive theory is proposed to predict the stress-strain behavior of a twisted filament yarn under extensive elongation from the structural parameters and constituent moduli. This theory can predict the radial distributions of local stress and strain as well as the load-elongation relation, if the initial distributions of the local apparent density and fiber direction together with several elastic moduli of the parallel fiber bundle at any strain are known as the elemental information. The underlying mathematics is developed so as to be closed before a special assumption to specify the orientational structure of the yarn, such as the cylindrical-helix model, the conical-helix model, etc., is put in force, and furthermore to be free from the critical problem that most of the earlier theories have, i.e., the defect that an approximation valid only for an infinitesimal deformation is assumed for a finite elongation.