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A hierarchic isogeometric hyperelastic solid-shell
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DOI：10.1007/s00466-024-02452-w.png)
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摘要
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The present study aims to develop an original solid-like shell element for large deformation analysis of hyperelastic shell structures in the context of isogeometric analysis (IGA). The presented model includes a new variable to describe the thickness change of the shell and allows for the application of unmodified three-dimensional constitutive laws defined in curvilinear coordinate systems and the analysis of variable thickness shells. In this way, the thickness locking affecting standard solid-shell-like models is cured by enhancing the thickness strain by exploiting a hierarchical approach, allowing linear transversal strains. Furthermore, a patch-wise reduced integration scheme is adopted for computational efficiency reasons and to annihilate shear and membrane locking. In addition, the Mixed-Integration Point (MIP) format is extended to hyperelastic materials to improve the convergence behaviour, hence the efficiency, in Newton iterations. Using benchmark problems, it is shown that the proposed model is reliable and resolves locking issues that were present in the previously published isogeometric solid-shell formulations.
Keyword:
Large deformations
Isogeometric analysis
Solid-shells
Large Strains
MIP Newton
Hyperelastic materials
期刊
IF:
3.8
论文数:
3.2K
被引数:
9.0K
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Selective and reduced numerical integrations for NURBS-based isogeometric analysis基于NURBS的等几何分析的选择性和减少的数值积分
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