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Hybrid IG-FE method applied to cohesive fracture/contact in particle-filled elastomeric composites
International Journal of Mechanics and Materials in Design ( IF 2.7 ) Pub Date : 2019-05-18 , DOI: 10.1007/s10999-019-09459-9
Saeed Maleki Jebeli , Mahmoud Musavi Mashhadi , Mostafa Baghani

In this paper, employing a new numerical framework, a 2D investigation is conducted on the effect of fiber-matrix contact/debonding on the stress–strain response of fiber-reinforced elastomeric composites. The analysis is carried out in the framework of large deformation/sliding. The main novelty of this work resides in using hybrid IsoGeometric-Finite Element (IG-FE) technique to discretize the domain where interfaces together with a band around them are represented by NURBS patches. These patches are coupled to the surrounding Lagrangian domain thanks to the transition elements. Interfaces’ discontinuity is readily induced through knot insertion capability within IGA. Moreover, contact constraints together with cohesive behavior are incorporated in the numerical model employing a unified mortar framework with appropriate definitions of potentials. Two numerical examples are considered within the proposed context and results are discussed in terms of stress–strain curves and stress contours. Due to proven higher accuracy of IGA in modeling contact/cohesive interfaces under large deformation and efficient use of NURBS around discontinuities, the proposed numerical methodology seems to be an appropriate (yet efficient) candidate to model such kind of highly nonlinear problems.



中文翻译:

混合IG-FE方法应用于颗粒填充弹性体复合材料的内聚断裂/接触

在本文中,采用新的数值框架,对纤维-基体接触/剥离对纤维增强的弹性体复合材料的应力-应变响应的影响进行了二维研究。分析是在大变形/滑动的框架内进行的。这项工作的主要新颖之处在于使用混合等几何有限元(IG-FE)技术离散化域,其中接口及其周围的带由NURBS补丁表示。由于过渡元素,这些面片耦合到周围的拉格朗日域。接口的不连续性很容易通过IGA中的结插入功能引起。此外,接触约束和内聚行为被结合到数值模型中,采用统一的砂浆框架并适当定义电势。在提议的上下文中考虑了两个数值示例,并根据应力-应变曲线和应力轮廓讨论了结果。由于在大变形下接触/内聚界面建模以及在不连续点附近有效使用NURBS方面,IGA的精度更高,因此所提出的数值方法似乎是一种合适的(至今仍是高效的)模型,用于建模此类高度非线性的问题。

更新日期:2020-04-21
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