A four-node plane parametric element based on quadrilateral area coordinate and its application to coupled solid-deformation/fluid-flow simulation for porous geomaterials

作者：Li; Gen

来源：International Journal for Numerical and Analytical Methods in Geomechanics, 2015, 39(3): 251-276.

DOI：10.1002/nag.2301

• quadrilateral area coordinate
• generalized conforming
• patch test
• finite element simulation
• fluid flow
• CSF
• porous geomaterials

A four-node plane parametric element AQG beta 6-I is constructed on the basis of the quadrilateral area coordinate, the generalized conforming principle and the projection technique with a penalty factor beta within an interval of 0-1. When beta = 0, the element has excellent bending performance. When beta = 1, the element can pass patch test strictly; its performance is as good as many famous elements. When beta value is between 0 and 1, such as beta = 0.5, the element can arrive at a compromise between (relatively) low sensitivity to mesh distortion and perfect convergence. The work provides an illuminating method to alleviate a difficult problem in finite element modelling using the four-node quadrilateral element, which can pass the strict patch test, but has poor performance in bending dominated problem; on the contrary, it has excellent performance in bending dominated problem but cannot pass the strong patch test.
The AQG beta 6-I with the convergence formulation (beta = 1) is then applied to coupled solid-deformation/fluid-flow simulation for porous geomaterials. The computational examples are carried out to demonstrate that the AQG beta 6-I (beta = 1) element is not only stable, reliable and efficient but also of high accuracy. The present study provides a good applicable element for finite element simulations of solid-deformation/fluid-flow for porous geomaterials.

• 出版日期2015-2-25
• 单位中山大学