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A 6-Parameter Nonlinear Shell Formulation Without Rotational Parametrization by a Hierarchical Quadrature Element Method
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DOI：10.1002/nme.70340.png)
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Abstract
En 中文
Thickness stretching is indispensable for shell formulations when local three-dimensional effects are significant. However, a curvature thickness locking phenomenon occurs, and the multiplicative decomposition scheme or assumed strain method is required for the conventional low-order finite element method. In this article, a 6-parameter nonlinear shell formulation with extensible thickness is presented. The director field is interpolated directly so that the need for finite rotation parameterization is avoided. To ensure practical applicability, a new robust scheme for applying bending and twisting moments is developed. Benefiting from the high-order characteristic of the hierarchical quadrature element method adopted in the present formulation, no locking issues (especially the curvature thickness locking) occur. Both Saint-Venant Kirchhoff and neo-Hookean models are incorporated to demonstrate the robustness and generality of the proposed formulation. Numerical examples show that it is a reliable and efficient tool for the nonlinear analysis of shells.
Keywords:
curvature thickness locking
hierarchical quadrature element method
hyperelasticity
nonlinear shell formulation
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2.9
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419
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2.2W
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