Weiming Guo, Guanghui Qing, Zhicheng Yong, Zhenyu Wang
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引用次数: 0
Abstract
Determining the optimal splitting factor is crucial for the efficient application of generalized mixed finite elements (GME). In GME, the splitting factor adjusts the proportion of strain and complementary energy in the functional, which directly affects the accuracy of the numerical solution. To improve the accuracy of distorted hexahedral elements in GME, an alternative method for optimizing the splitting factors is introduced. The deviation of the coefficient matrix between a distorted element and its corresponding standard element is quantified by the matrix norm. Accordingly, the splitting factor is obtained by minimizing the deviation. Rather than adopting a uniform splitting factor, the method determines individualized splitting factors for each element in the finite element model. Several representative examples with different geometric parameters, boundary conditions, and loads are used to validate the proposed method. Numerical examples demonstrate that, compared to adopting a uniform splitting factor of 0.75, the individualized splitting factors significantly improve the numerical accuracy of generalized mixed elements with distortion.
期刊介绍:
Archive of Applied Mechanics serves as a platform to communicate original research of scholarly value in all branches of theoretical and applied mechanics, i.e., in solid and fluid mechanics, dynamics and vibrations. It focuses on continuum mechanics in general, structural mechanics, biomechanics, micro- and nano-mechanics as well as hydrodynamics. In particular, the following topics are emphasised: thermodynamics of materials, material modeling, multi-physics, mechanical properties of materials, homogenisation, phase transitions, fracture and damage mechanics, vibration, wave propagation experimental mechanics as well as machine learning techniques in the context of applied mechanics.