Matrix and Finite Element Displacement Analysis of Structures

Appropriate Loading Techniques in Finite Element Analysis of Underground Structures

Stability of underground structures is assessed by comparing rock strength with induced stresses resulted from ground stresses. Rock mass surrounding the opening may fail either by fracture or excessive deformation caused. Accurate calculation of induced stresses is therefore fundamental in the stability analysis of an opening. Although numerical methods, particularly finite element method, are...

Finite Element Analysis of Solids and Structures

The finite element method is a numerical method for obtaining approximate solutions for boundary value problems that are defined in terms of a set of governing mathematical equations, boundary and/or initial conditions, constitutive laws and other secondary relations such as the strain-displacement relations. In general, any one of a number of different principles (e.g., virtual work principle,...

A Simple Finite Element Procedure for Free Vibration and Buckling Analysis of Cracked Beam-Like Structures

In this study, a novel and very simple finite element procedure is presented for free vibration and buckling analysis of slim beam-like structures damaged by edge cracks. A cracked region of a beam is modeled using a very short element with reduced second moment of area (I). For computing reduced I in a cracked region, the elementary theory of bending of beams and local flexibility approach are...

Finite Element Analysis of Multi-Stable Structures

A boundary element/finite difference analysis of subsidence phenomenon due to underground structures

Analysis of the stresses, displacements, and horizontal strains of the ground subsidence due to underground excavation in rocks can be accomplished by means of a hybridized higher order indirect boundary element/finite difference (BE/FD) formulation. A semi-infinite displacement discontinuity field is discretized (numerically) using the cubic displacement discontinuity elements (i.e. each highe...