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首页> 外文期刊>International journal of non-linear mechanics >A Fibre Smart Displacement Based (FSDB) beam element for the nonlinear analysis of reinforced concrete members
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A Fibre Smart Displacement Based (FSDB) beam element for the nonlinear analysis of reinforced concrete members

机译：基于纤维智能位移（FSDB）的梁单元，用于钢筋混凝土构件的非线性分析

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Beam finite elements for non linear plastic analysis of beam-like structures are formulated according to Displacement Based (DB) or Force Based (FB) approaches. DB formulations rely on modelling the displacement field by means of displacement shape functions. Despite the greater simplicity of DB over FB approaches, the latter provide more accurate responses for those requiring a coarser mesh. In order to fill the existing gap between the two approaches, improvement of the DB formulation without the introduction of mesh refinement, is necessary. To this aim, the authors recently provided a contribution to the improvement of the DB approach by proposing new enriched, adaptive displacement shape functions, leading to the Smart Displacement Based (SDB) beam element.In this paper the SDB element is extended to include the axial force-bending moment interaction, crucial for the analysis of reinforced concrete (r/c) cross sections. The proposed extension requires the formulation of discontinuous axial displacement shape functions which are dependent on the diffusion of plastic deformations. The stiffness matrix of the extended smart element is provided explicitly and is dependent on the displacement shape functions updating. The axial force-bending moment interaction is approached by means of a fibre discretisation of the r/c cross section. The extended element, addressed as Fibre Smart Displacement Based (FSDB) beam element, is shown to be accurate furthermore, it is accompanied by an optional procedure proposal in order to verify the strong equilibrium of the axial force along the beam element, which is not usually accomplished by DB beam elements. Given a fixed mesh discretisation, the performance of the FSDB beam element is compared with the DB approach to show the higher degree of accuracy in the proposed element.
机译：根据基于位移（DB）或基于力（FB）的方法，制定了用于梁状结构非线性塑性分析的梁有限元。 DB公式依赖于通过位移形状函数对位移场进行建模。尽管DB over FB方法更加简单，但后者为需要较粗网格的用户提供了更准确的响应。为了填补两种方法之间的现有空白，必须在不引入网格细化的情况下改进DB公式。为此，作者最近提出了新的，丰富的，自适应位移形状函数，为基于DB的改进提供了贡献，从而导致了基于智能位移（SDB）的梁单元。本文将SDB元素扩展为包括轴向力-弯矩相互作用，对于分析钢筋混凝土（r / c）截面至关重要。拟议的扩展要求制定不连续的轴向位移形状函数，该函数取决于塑性变形的扩散。显式提供了扩展智能元素的刚度矩阵，并且依赖于位移形状函数的更新。轴向力-弯矩相互作用通过r / c截面的纤维离散化来实现。此外，扩展的元件（称为基于光纤智能位移（FSDB）的梁元件）被证明是准确的，它伴随着可选的程序建议，以验证沿梁元件的轴向力的强平衡，而这并不是通常由DB梁单元完成。给定固定的网格离散度，将FSDB梁单元的性能与DB方法进行比较，以显示所提出单元的更高准确性。

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