An alternative explicit formulation for the DKT plate‐bending element

Abstract

SUMMARYThe stiffness matrix for the DKT plate-bending element is formulated explicitly in a global co-ordinate system. This approach avoids transformations of stiffness, and elasticity properties for anisotropic materials, from local to global co-ordinates, which were required in previous formulations. A FORTRAN listing of the algorithm is appended for potential users.

Development of DKT Finite Element Formulation for Thermal Bending of Thin Plate

“…[8] and Fortran coding which can be used in computer programming directly appears in Ref. [19]. The nodal force vector due to the uniform pressure load p, F p , is defined by lumped loads acting at each node as [7],…”

Formulation and evaluation of new triangular, quadrilateral, pentagonal and hexagonal discrete Kirchhoff plate/shell elements

“…Its convergence rate has been studied theoretically in References [39; 40]. Some authors have proposed modiÿcations to improve the DKT9 element at the price of increasing the complexity of the formulation or with the introduction of adjustable coe cients [23][24][25]. Another nine dof elements was formulated in Reference [41] using incompatible orthogonal modes.…”

Analyses and measurements on bending performance of gas-assisted injection molded parts

“…This approach has been utilized for the 15,16 warpage analysis of thin parts molded by conven-17 tional injection molding. A schematic of VRT and DKT elements is depicted in Figure 6.…”