An anisotropic fibre-matrix material model at finite elastic-plastic strains
An anisotropic fibre-matrix material model at finite elastic-plastic strains
复制标题
有限弹塑性应变下的各向异性纤维基材料模型
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
W. Wagner
中科院分区：
文献类型：
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作者：
Sven Klinkel;C. Sansour;W. Wagner
本文提出了一个各向异性有限应变塑性本构模型，它考虑了基体-纤维材料宏观行为的主要影响。作为基本特征，基质和纤维被分开处理，这允许根据需要尽可能多的纤维束。自由能函数被相加地分成与基质相关的部分和与纤维对应的部分。自由能函数通常由主变量和结构张量的完整基定义，导致数值格式复杂。这里，连续体被认为是各向同性矩阵和进一步的一维连续体的叠加，它们中的每一个代表一束纤维。变形梯度应用于引入约束的所有连续体，该约束连接不同的连续体。该模型最显著的特点之一是它适合于数值处理。
In this paper a constitutive model for anisotropic finite strain plasticity, which considers the major effects of the macroscopic behaviour of matrix-fibre materials, is presented. As essential feature matrix and fibres are treated separately, which allows as many bundles of fibres as desired. The free energy function is additively split into a part related to the matrix and in parts corresponding to the fibres. Usually the free energy function is defined by the integrity basis of the main variable and structural tensors, which leads to complicated numerical schemes. Here, the continuum is considered as superimposed of the isotropic matrix and further one-dimensional continua each of them represents one bundle of fibres. The deformation gradient applies to all continua introducing a constraint, which links the different continua. One of the most striking features of the model is its suitability for a numerical treatment.