A Simple High-Order Shear Deformation Triangular Plate Element with Incompatible Polynomial Approximation

作者：Gou, Yudan^*; Cai, Yongchang; Zhu, Hehua

来源：Applied Sciences-Basel, 2018, 8(6): 975.

DOI：10.3390/app8060975

• plate
• FSDT
• HSDT
• Mindlin
• incompatible approximation
• fracture

The High-order Shear Deformation Theories (HSDTs) which can avoid the use of a shear correction factor and better predict the shear behavior of plates have gained extensive recognition and made quite great progress in recent years, but the general requirement of C-1 continuity in approximation fields in HSDTs brings difficulties for the numerical implementation of the standard finite element method which is similar to that of the classic Kirchhoff-Love plate theory. As a strong complement to HSDTs, in this work, a series of simple High-order Shear Deformation Triangular Plate Elements (HSDTPEs) using incompatible polynomial approximation are developed for the analysis of isotropic thick-thin plates, cracked plates, and through-thickness functionally graded plates. The elements employ incompatible polynomials to define the element approximation functions u/v/w, and a fictitious thin layer to enforce the displacement continuity among the adjacent plate elements. The HSDTPEs are free from shear-locking, avoid the use of a shear correction factor, and provide stable solutions for thick and thin plates. A variety of numerical examples are solved to demonstrate the convergence, accuracy, and robustness of the present HSDTPEs.

• 出版日期2018-6
• 单位同济大学