Deformation decomposition method of discrete element for irregular structures

Abstract

In order to satisfy the demand of quantitative analysis of deformation properties of arbitrary irregular structures, a deformation decomposition method for arbitrary triangular element and arbitrary tetrahedral element is proposed based on mechanical equilibrium and mathematical orthogonality. The projection coefficients of various basic deformations of the structure can be obtained by applying the deformation decomposition method to the model divided by triangular or tetrahedral element. The quantitative and visual analysis of the structural deformation performance are realized. The work can provide theoretical basis for the orthonormal decomposition of arbitrary irregular elements and greatly improve the orthonormal deformation decomposition method.

Keywords:

• Orthogonal decomposition
• basic deformation
• arbitrary triangular element
• arbitrary tetrahedral element
• irregular structures

Disclosure statement

The authors declare no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.

Additional information

Funding

This work was supported by the National Natural Science Foundation of China (Grant No. 52208322), the Postdoctoral Science Foundation of China (Grant No. 2022M712905), the Natural Science Foundation of Henan Province (Grant No. 222300420316) and the Key Research Projects of Henan Higher Education Institutions (Grant No. 22A560005).