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The mechanical modelling of nonhomogeneous reinforced structural systems by a coupled BEM formulation

机译：通过耦合BEM公式对非均质增强结构系统进行机械建模

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摘要

This study presents an accurate numerical formulation for the mechanical modelling of nonhomogeneous reinforced structures. Structural systems complex and efficient utilise such composition, which are largely observed in mechanical, naval and automotive industries, for instance. The Boundary Element Method (BEM) represents mechanically the plane nonhomogeneous domains in the formulation, in which viscous and time independent mechanical behaviours are accounted. The reinforcements are modelled by 1D truss elements, which are either represented by the Finite Element Method (FEM) or the BEM. The reinforcements allow for elastoplasticity behaviour. The 1D BEM approach leads to accurate and stable results in comparison with classical FEM modelling. The proposed formulation is applied in the mechanical analysis of four complex nonhomogeneous reinforced structural systems. The results achieved by the proposed formulation are compared against the responses of equivalent numerical models available in the literature. The accuracy, stability and robustness of the proposed formulation, particularly when domains and reinforcements are represented by the BEM, are illustrated.
机译：这项研究为非均质钢筋结构的力学建模提供了精确的数值公式。复杂而有效的结构系统利用了这种成分，例如，在机械，海军和汽车工业中通常会看到这种成分。边界元方法（BEM）机械地表示配方中的平面非均质域，其中考虑了粘性和时间独立的机械行为。钢筋由一维桁架元素建模，这些元素可以用有限元方法（FEM）或BEM表示。增强材料允许弹塑性行为。与经典的FEM建模相比，一维BEM方法可产生准确，稳定的结果。拟议的公式应用于四个复杂的非均质增强结构系统的力学分析。通过拟议的公式实现的结果与文献中可用的等效数值模型的响应进行了比较。说明了所提出配方的准确性，稳定性和鲁棒性，尤其是当边界元和增强层由BEM表示时。

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