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Multi-field modelling and simulation of fibre reinforced polymers

纤维增强聚合物的多场建模与仿真

基本信息

批准号：
380995129
负责人：
Dr.-Ing. Maik Dittmann
金额：
--
依托单位：
Lehrstuhl für Numerische Mechanik
依托单位国家：
德国
项目类别：
Research Grants
财政年份：
2017
资助国家：
德国
起止时间：
2016-12-31 至 2021-12-31
项目状态：
已结题

来源：
https://gepris.dfg.de/gepris/projekt/380995129?language=en
关键词：
Multi field modelling simulation fibre

项目摘要

The overall goal of this project is to develop a numerical framework for the simulation of thermomechanical damage and fracture in fibre reinforced polymers under large deformations and displacements. This will help us to predict and understand transient fracture mechanisms as they arise in high-velocity and high-energy impact situations. To this end, several novel and sophisticated numerical methods have to be developed and combined. A phase-field fracture formulation taking into account the anisotropic material behaviour as well as local damage and thermal effects has to be introduced for a realistic prediction of complex three-dimensional fracture patterns. Higher-order phase-field formulations increase the accuracy of the evaluation of the fracture energy but necessitates spatial discretization schemes which fulfil the required continuity conditions. In this context, the concept of isogeometric analysis is able to provide sufficient continuous approximations and has to be considered along with a hierarchical refinement scheme to resolve local features. Advanced mixed variational principles satisfying the polyconvexity condition in the sense of Ball have to be developed for a stable and robust numerical framework. This promising approaches enable great flexibility and clarity for the development of new multi-field formulations, since the constitutive laws can be solved as separate field. Mortar based contact formulations have shown to be superior against classical collocation type methods and thus they have to be considered for the three-dimensional multi-physical contact interface. Eventually, stable and second order accurate implicit time integration schemes have to be developed. In this context,structure-preserving integrators allow for comparatively large time steps, raising the efficiency and robustness of the simulation of the given problem at hand dramatically. We will combine all different approaches in a unified numerical framework and conduct several static as well as transient benchmark tests for verification purposes and apply this framework finally to realistic industrial applications.

该项目的总体目标是开发一个数值框架，用于模拟大变形和位移下纤维增强聚合物的热机械损伤和断裂。这将有助于我们预测和理解瞬态断裂机制，因为它们出现在高速和高能量的冲击情况。为此，必须开发和组合几种新颖而复杂的数值方法。一个相场断裂配方考虑到各向异性材料的行为以及局部损伤和热效应，必须引入一个现实的预测复杂的三维断裂模式。高阶相场公式提高了断裂能的评价精度，但需要满足所需连续性条件的空间离散化方案。在这种情况下，等几何分析的概念是能够提供足够的连续近似，并考虑沿着与分层细化方案，以解决当地的特点。先进的混合变分原理，满足球意义下的多凸性条件，必须开发一个稳定和强大的数值框架。这种有前途的方法，使新的多场制剂的发展具有很大的灵活性和清晰度，因为本构关系可以解决作为单独的字段。基于砂浆的接触公式已被证明是上级对经典的配置类型的方法，因此，他们必须考虑三维多物理接触界面。最后，稳定的和二阶精度的隐式时间积分格式的发展。在这种情况下，结构保持积分器允许相对较大的时间步长，提高了效率和鲁棒性的模拟给定的问题显着。我们将结合联合收割机在一个统一的数值框架，并进行几个静态以及瞬态基准测试验证的目的，并最终将此框架应用到现实的工业应用。

项目成果

期刊论文数量（4）

专著数量（0）

科研奖励数量（0）

会议论文数量（0）

专利数量（0）

Isogeometric analysis of fiber reinforced composites using Kirchhoff–Love shell elements

DOI：
10.1016/j.cma.2020.112845
发表时间：
2020-04
期刊：
Computer Methods in Applied Mechanics and Engineering
影响因子：
7.2
作者：
J. Schulte;M. Dittmann;S. Eugster;S. Hesch;T. Reinicke;F. dell’Isola;C. Hesch
通讯作者：
J. Schulte;M. Dittmann;S. Eugster;S. Hesch;T. Reinicke;F. dell’Isola;C. Hesch

Multidimensional coupling: A variationally consistent approach to fiber-reinforced materials

多维耦合：纤维增强材料的变异一致方法