EK702
Sometimes it becomes necessary in a model to combine different kinds of elements, such as beams and plane elements. The problem with combining these elements is that they have different […]
EK701
For a homogeneous soil mass, experience has shown that the influence of the footing becomes insignificant if the horizontal distance of the model is taken as approximately four to six […]
EK700
The stress is predicted to be infinite at the re-entrant corner. Hence, the finite element method based on linear elastic material models will never yield convergence (no matter how many […]
EK203
The entire procedure of the finite element method involves the following steps: The given body is subdivided into an equivalent system of finite elements. Suitable displacement function is chosen. Element […]
EK202
The finite element method is based on the representation of a body by an assemblage of subdivisions called finite elements. These elements are considered to be connected at nodes. Displacement […]
EK103
The secant stiffness method requires secant flexural and axial stiffnesses to be updated with each iterative cycle of the load step. This method differs to the Newton-Raphson and modified Newton-Raphson […]
EK102
Calculation procedures for the modified Newton-Raphson method are the same as for the Newton-Raphson method, except the stiffnesses for the first cycle are held constant for each iterative cycle of […]
EK101
In a Newton-Raphson method at the start of the load step, element stiffnesses are set to the values from the end of the previous step.
EK52
If the body has no abrupt changes in geometry, material properties and external conditions (e.g., load), the body can be divided into equal subdivisions and hence the spacing of the […]
EK50
In a static or steady-state problem without substitution of a minimum number of prescribed displacements to prevent rigid body movements of the structure, it is impossible to solve this system, […]
EK38
When field equations for the whole continuum are written, the new unknowns will be the nodal values of the field variable. By solving the field equations, the nodal values of […]
EK37
Since the actual variation of the field variable inside the continuum is not known, we assume that the variation of the field variable inside a finite element can be approximated […]
EK30
There are two major methods of “mesh” refinement. In the first, known as h-refinement “mesh” refinement refers to the process of increasing the number of elements used to model a […]
EK29
In finite element analysis, solution accuracy is judged in terms of convergence as the element “mesh” is refined.
EK28
The physical significance of the singular nature of the element stiffness matrix is found by reexamination that no displacement constraint whatever has been imposed on motion of the spring element; […]
EK27
Symmetry of the stiffness matrix is indicative of the fact that the body is linearly elastic and each displacement is related to the other by the same physical phenomenon.
EK25
The basic premise of the finite element method is to describe the continuous variation of the field variable in terms of discrete values at the finite element node.
EK24
The crux of the finite element method is that the values of the field variable computed at the nodes are used to approximate the values at non-nodal points in the […]
EK15
The equilibrium of the nonlinear model is achieved when the force imbalance is zero or sufficiently small. This equilibrium is obtained by an iterative procedure that consists of steps at […]
EK13
The Delaunay triangulation technique is based on Voronoi polygons. The Voronoi polygon, assigned to a certain point of a set of points in the plane, contains all the points that […]