Acta Mechanica Solida Sinica

, Volume 28, Issue 6, pp 668–681

# Linear and Geometrically Nonlinear Analysis with 4-Node Plane Quasi-Conforming Element with Internal Parameters

• Changsheng Wang
• Xiangkui Zhang
• Ping Hu
• Zhaohui Qi
Article

## Abstract

A linear 4-node quadrilateral quasi-conforming plane element with internal parameters is proposed. The element preserves advantages of the quasi-conforming technique, including an explicit stiffness matrix, which can be applied to nonlinear problems. The weak patch test guarantees the convergence of the element. Then the linear element is extended to the geometrically nonlinear analysis in the framework of Total Lagrangian (TL) formulation. The numerical tests indicate that the present element is accurate and insensitive to mesh distortion.

## Key Words

quasi-conforming internal parameters plane element geometrically nonlinear

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© The Chinese Society of Theoretical and Applied Mechanics and Technology 2015

## Authors and Affiliations

• Changsheng Wang
• 1
• 2
• Xiangkui Zhang
• 1
• 2
• Ping Hu
• 1
• 2
• Zhaohui Qi
• 2
• 3
1. 1.School of Automotive EngineeringDalian University of TechnologyDalianChina
2. 2.State Key Laboratory of Structural Analysis for Industrial EquipmentDalian University of TechnologyDalianChina
3. 3.Department of Engineering MechanicsDalian University of TechnologyDalianChina