An inverse transformation for quadrilateral isoparametric elements" Analysis and application
ثبت نشده
چکیده
The coordinate transformation for quadrilateral isoparametric elements is well-defined in the finite element literature. However, a corresponding inverse transformation is not found. In fact, it has been commonly believed that no explicit solutions to the inverse transformation problem exist. This paper shows that if geometric considerations are used, a complete set of general solutions to the inverse transformation problem can be derived. An application of the inverse transformation for slope stability analysis is also presented.
منابع مشابه
Two-Dimensional Fixed Grid Based Finite Element Structural Analysis
This paper introduces a new fixed mesh structural analysis technique based on isoparametric formulations from classic finite element analysis. Fixed mesh methods are popular in boundary based optimisation as they avoid mesh distortion problems and reanalysis is simple and efficient. The area ratio based fixed grid method is often employed due to its favourable simplicity in implementation. Howe...
متن کاملTorsion Analysis of High-Rise Buildings using Quadrilateral Panel Elements with Drilling D.O.F.s
Generally, the finite element method is a powerful procedure for analysis of tall buildings. Yet, it should be noted that there are some problems in the application of many finite elements to the analysis of tall building structures. The presence of artificial flexure and parasitic shear effects in many lower order plane stress and membrane elements, cause the numerical procedure to converge in...
متن کامل2 . Notation and Results for Affine Elements 11
Anisotropic local interpolation error estimates are derived for quadrilateral and hexahedral Lagrangian nite elements with straight edges. These elements are allowed to have diameters with diierent asymptotic behaviour in diierent space directions. The case of aane elements (parallelepipeds) with arbitrarily high degree of the shape functions is considered rst. Then, a careful examination of th...
متن کاملTwo New Quadrilateral Elements Based on Strain States
In this paper, two new quadrilateral elements are formulated to solve plane problems. Low sensitivity to geometric distortion, no parasitic shear error, rotational invariance, and satisfying the Felippa pure bending test are characteristics of these suggested elements. One proposed element is formulated by establishing equilibrium equations for the second-order strain field. The other suggested...
متن کاملThe Invertibility of the Isoparametric Mapping for Pyramidal and Prismatic Nite Elements
We consider the isoparametric transformation, which maps a given reference element onto a global element given by its vertices, for multi-linear nite elements on pyramids and prisms. We present easily computable conditions on the position of the vertices, which ensure that the isoparametric transformation is bijective.
متن کامل