FINITE ELEMENT ANALYSIS USING SHELL ELEMENTS ON RETICULATED 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...

Integrated modeling, finite-element analysis, and engineering design for thin-shell structures using subdivision

Many engineering design applications require geometric modeling and mechanical simulation of thin flexible structures, such as those found in the automotive and aerospace industries. Traditionally, geometric modeling, mechanical simulation, and engineering design are treated as separate modules requiring different methods and representations. Due to the incompatibility of the involved represent...

Analysis of Thin-Walled Structures Using Torsional-Bending Elements

In this paper a new element for analysis of thin-walled structures is presented, and the effects of secondary shear stresses on longitudinal displacements are examined. Since the Interpolation Functions are based on non-uniform torsional differential equations, the analysis of stiffness matrix is facilitated. Therefore, its ability to produce accurate results with the least number of elements i...

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,...

Finite Element Analysis of Multi-Stable Structures