Nonlinear NMM analysis for large deformation and contact problems: Using full strain-rotation decomposition algorithm and augmented Lagrangian method enhanced open-closed iteration

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Engineering Analysis with Boundary Elements Pub Date : 2024-09-25 DOI:10.1016/j.enganabound.2024.105971

Wenshuai Han , Shuhong Wang , Wenfang Liu , Wenpan Sun , Qinkuan Hou

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Abstract

Nonlinear analysis deals with problems that involve large displacements, strains, rotations, and contact problems. Accurate results can be obtained by choosing a reasonable method for decomposing strain and rotation to avoid errors and ensure the correct contact force. A novel full strain-rotation (S-R) decomposition and an augmented Lagrangian enhanced contact model are established within the numerical manifold method (NMM) framework. Limitations in simplified S-R NMM are overcome using our redesigned resolution procedure. A new method has been applied to analyse beams with large deflections, block columns under compression, block sliding, rock falling, and semi-ring contact with block problems. Promising results from the analysis indicate that proposed method is more accurate and effective in theory and numerically than prior approaches when resolving contact problems and large deformations.

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大变形和接触问题的非线性 NMM 分析：使用全应变旋转分解算法和增强型拉格朗日法增强开闭迭代法

非线性分析处理的问题涉及大位移、大应变、大旋转和大接触问题。选择合理的应变和旋转分解方法可以避免误差并确保正确的接触力，从而获得精确的结果。在数值流形法（NMM）框架内，建立了新颖的全应变-旋转（S-R）分解和增强拉格朗日增强接触模型。利用我们重新设计的解析程序，克服了简化 S-R NMM 的局限性。新方法已被用于分析大挠度梁、受压块柱、块体滑动、落石以及块体半环接触问题。分析结果表明，在解决接触问题和大变形问题时，所提出的方法在理论上和数值上都比以前的方法更加精确和有效。

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来源期刊

Engineering Analysis with Boundary Elements 工程技术-工程：综合

CiteScore

5.50

自引率

18.20%

发文量

368

审稿时长

56 days

期刊介绍： This journal is specifically dedicated to the dissemination of the latest developments of new engineering analysis techniques using boundary elements and other mesh reduction methods. Boundary element (BEM) and mesh reduction methods (MRM) are very active areas of research with the techniques being applied to solve increasingly complex problems. The journal stresses the importance of these applications as well as their computational aspects, reliability and robustness. The main criteria for publication will be the originality of the work being reported, its potential usefulness and applications of the methods to new fields. In addition to regular issues, the journal publishes a series of special issues dealing with specific areas of current research. The journal has, for many years, provided a channel of communication between academics and industrial researchers working in mesh reduction methods Fields Covered: • Boundary Element Methods (BEM) • Mesh Reduction Methods (MRM) • Meshless Methods • Integral Equations • Applications of BEM/MRM in Engineering • Numerical Methods related to BEM/MRM • Computational Techniques • Combination of Different Methods • Advanced Formulations.