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首页> 外文期刊>Composite Structures >A nodal-based Lagrange multiplier/cohesive zone approach for dynamic interfacial cracking analysis of thin-walled laminated composite structures
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A nodal-based Lagrange multiplier/cohesive zone approach for dynamic interfacial cracking analysis of thin-walled laminated composite structures

机译：基于节点的拉格朗日倍增器/粘结区方法，用于薄壁层压复合结构的动态界面裂解分析

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摘要

Although the intrinsic cohesive zone models (CZMs) have become a popular approach for interfacial cracking analysis in laminated composite structures, they suffer from the so-called artificial compliance issue for the modelling of strong adhesion between laminate layers. The objective of this work is twofold: (1) to propose a novel nodal-based Lagrange multiplier/cohesive zone (LM/CZ) method to address such aforementioned non-physical numerical issue; (2) to focus the applications of interest on interfacial cracking of thin-walled laminated composites discretized with solid-shell elements. In sharp contrast to the penalty-based numerical treatment used in the intrinsic CZMs, our approach enforces the continuities across material interfaces via Lagrange multipliers (LMs) at finite element nodes before the onset of interfacial cracking. A smooth transition is guaranteed during the switch of interfacial constraints from LMs to cohesive forces at the time of crack onset. This approach employs a shifted traction-separation law to govern the gradual cohesive cracking process. Several numerical examples are performed to demonstrate the accuracy and capacity of the proposed approach.
机译：虽然内在的粘性区模型（CZMS）已成为层压复合结构中的界面裂解分析的流行方法，但它们患有所谓的人工顺应性问题，用于模拟层压层之间的强粘附性。这项工作的目的是双重的：（1）提出一种新的基于节点的拉格朗日倍增器/粘结区（LM / CZ）方法，以解决这种上述非物理数字问题; （2）重点关注利息对薄壁层压复合材料的界面裂缝的应用离散用固壳元件。与内在CZMS中使用的基于惩罚的数值治疗鲜明对比，我们的方法通过LAGRANG乘法器（LMS）在界面裂缝开始前通过拉格朗日乘法器（LMS）来实施跨材料接口的连续性。在裂缝发作时，在LMS到粘性力的界面限制的开关期间，保证了平滑的转换。这种方法采用变动的牵引分离法来控制逐渐粘性的裂缝过程。执行几个数值示例以展示所提出的方法的精度和容量。

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