Cross-sectional mapping for refined beam elements with applications to shell-like structures

Refined Shell Elements for the Analysis of Functionally Graded Structures

Functionally graded materials (FGMs), proposed in 1980s by the Japanese school of material science as thermal barrier materials [1], present a number of advantages that make them attractive in potential future applications, such a reduction of in-plane and transverse through-the-thickness stresses, an improved residual stress distribution, enhanced thermal properties, higher fracture toughness,...

Damage Detection in Beam-like Structures using Finite Volume Method

In this paper the damage location in beam like-structure is determined using static and dynamic data obtained using finite volume method. The change of static and dynamic displacement due to damage is used to establish an indicator for determining the damage location. In order to assess the robustness of the proposed method for structural damage detection, three test examples including a static...

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...

Optimization of Conformal Mapping Functions used in Developing Closed-Form Solutions for Underground Structures with Conventional cross Sections

Elastic solutions applicable to single underground openings usually suffer from geometry related simplification. Most tunnel shapes possess two axes of symmetry while a wide range of geometries used in tunneling practice involve only one symmetry axis. D-shape or horse-shoe shape tunnels and others with arched roof and floor are examples of the later category (one symmetry axis). In the present...

Core-shell Mie resonant structures for quantum computing applications