Shakedown analysis of incompressible materials under cyclic loads: A locking-free CS-FEM-Q5 numerical approach

IF 2.8 3区 工程技术 Q2 MECHANICS International Journal of Non-Linear Mechanics Pub Date : 2024-10-28 DOI:10.1016/j.ijnonlinmec.2024.104932
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Abstract

Volumetric locking may occur in plastic analysis of incompressible materials using low-order finite elements due to incompressibility constraints. This study presents a locking-free smoothed five-node quadrilateral element-based approach for plastic analysis in structural engineering. The proposed Q5-element employing four cell-based smoothing domains effectively alleviates the volumetric locking issues, here in the problems under plane strain conditions. The resulting large-scale optimization problem is formulated in a conic programming form, enabling efficient use of the interior-point optimizer. Numerical investigations demonstrate the method’s effectiveness in alleviating volumetric locking, accurately predicting collapse and shakedown limits, and generating interaction diagrams for load-carrying capacity and structural collapse mechanisms.
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循环载荷下不可压缩材料的晃动分析:无锁定 CS-FEM-Q5 数值方法
由于不可压缩性的限制,使用低阶有限元对不可压缩材料进行塑性分析时可能会出现体积锁定。本研究提出了一种基于平滑五节点四边形元素的无锁定方法,用于结构工程中的塑性分析。所提出的 Q5 元素采用四个基于单元的平滑域,有效缓解了平面应变条件下的体积锁定问题。由此产生的大规模优化问题采用圆锥编程形式,从而可以高效地使用内点优化器。数值研究表明,该方法能有效缓解体积锁定问题,准确预测坍塌和晃动极限,并生成承载能力和结构坍塌机制的相互作用图。
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来源期刊
CiteScore
5.50
自引率
9.40%
发文量
192
审稿时长
67 days
期刊介绍: The International Journal of Non-Linear Mechanics provides a specific medium for dissemination of high-quality research results in the various areas of theoretical, applied, and experimental mechanics of solids, fluids, structures, and systems where the phenomena are inherently non-linear. The journal brings together original results in non-linear problems in elasticity, plasticity, dynamics, vibrations, wave-propagation, rheology, fluid-structure interaction systems, stability, biomechanics, micro- and nano-structures, materials, metamaterials, and in other diverse areas. Papers may be analytical, computational or experimental in nature. Treatments of non-linear differential equations wherein solutions and properties of solutions are emphasized but physical aspects are not adequately relevant, will not be considered for possible publication. Both deterministic and stochastic approaches are fostered. Contributions pertaining to both established and emerging fields are encouraged.
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