Micro-macro constitutive modeling and finite element analytical-based formulations for fibrous materials: A multiscale structural approach for crimped fibers
Micro-macro constitutive modeling and finite element analytical-based formulations for fibrous materials: A multiscale structural approach for crimped fibers
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DOI：
10.1016/j.cma.2018.10.016
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发表时间：
2019-02-01
影响因子：
7.2
通讯作者：
Wriggers, Peter
中科院分区：
文献类型：
--
作者：
Marino, Michele;Wriggers, Peter
具有卷曲纤维的材料具有特殊的性能，只有使用微观-宏观视角才能有效地探索。在这个框架中，一个新的本构模型的基础上的多尺度结构原理。材料微观力学，取决于纤维矫直机制，介绍了梁模型驱动材料模型的响应。这一基本原理导致了一个准分析配方，耦合纯分析和计算方法的优点。此外，我们还建立了一个有限元公式，并通过与多尺度本构关系相关联的准解析核来丰富该有限元公式。不同的解决方案的策略进行了测试，以优化数值性能的精度，鲁棒性和成本。此外，一个混合有限元公式的基础上，简化运动学各向异性（SKA）。对于所测试的边值问题，SKA单元是位移和纤维应力收敛行为的最佳选择，特别是对于粗网格。(C)2018爱思唯尔B. V.保留所有权利。
Materials with crimped fibers have special properties that can be effectively explored only when using a micro-macro perspective. In this framework, a novel constitutive model based on a multiscale structural rationale is introduced. Material micromechanics, depending on fiber straightening mechanisms, is described introducing a beam model which drives material model response. This rationale leads to a quasi-analytical formulation, coupling the advantages of purely-analytical and computational approaches. The proposed model is also proven to be polyconvex.Furthermore, a finite-element formulation is developed, enriched by a quasi-analytical core associated with the multiscale constitutive formulation. Different solution strategies are tested in order to optimize the numerical performances in terms of accuracy, robustness and cost. Moreover, a mixed finite element formulation based on a simplified-kinematics-for-anisotropy (SKA) is introduced. For the tested boundary value problems, the SKA-element is an optimal choice in terms of displacement and fiber stress convergence behavior, especially for coarse meshes. (C) 2018 Elsevier B.V. All rights reserved.