Stress Solutions of some Axisymmetric and Non-Axisymmetric Cases with the Principles of Elasticity: A Review

2012 ◽  
Vol 215-216 ◽  
pp. 1026-1032
Author(s):  
Suhas Ankalkhope ◽  
Nilesh Jadhav ◽  
Sunil Bhat
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Shear Stress ◽  
Excellent Agreement ◽  
Stress Function ◽  
Structural Member ◽  
Numerical Results ◽  
Airy’S Stress Function ◽  
Element Method

Stress solutions are reviewed for some typical cases of axisymmetric and non-axisymmetric loads over a structural member with the principles of elasticity. A curved bar is chosen for the analysis. Tangential, radial and shear stress are determined analytically using Airy’s stress function. The curved bar is also modelled by finite element method to obtain numerical values of stress. Analytical and numerical results are in excellent agreement with each other.

A Numerical Analysis for Cracks Emanating from a Quarter-Spherical Cavity on the Edge of an Elastic Body

2012 ◽  
Vol 499 ◽  
pp. 243-247
Author(s):  
Long Hai Yan ◽  
Bao Liang Liu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Analysis ◽  
Elastic Body ◽  
Spherical Cavity ◽  
Numerical Results ◽  
Shielding Effect ◽  
Corner Crack ◽  
Element Method

This note is specifically concerned with cracks emanating from a quarter-spherical cavity on the edge in an elastic body (see Fig.1) by using finite element method. The numerical results show that the existence of the cavity has a shielding effect of the corner crack. In addition, it is found that the effect of boundaries parallel to the crack on the SIFs is obvious when.H/R≤3

The Semi-Discrete Finite Element Method for the Cauchy Equation

2014 ◽  
Vol 668-669 ◽  
pp. 1130-1133
Author(s):  
Lei Hou ◽  
Xian Yan Sun ◽  
Lin Qiu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Results ◽  
Cauchy Equation ◽  
The Time Domain ◽  
Nicolson Scheme ◽  
Discrete Finite Element ◽  
Better Than ◽  
Element Method ◽  
Crank Nicolson

In this paper, we employ semi-discrete finite element method to study the convergence of the Cauchy equation. The convergent order can reach. In numerical results, the space domain is discrete by Lagrange interpolation function with 9-point biquadrate element. The time domain is discrete by two difference schemes: Euler and Crank-Nicolson scheme. Numerical results show that the convergence of Crank-Nicolson scheme is better than that of Euler scheme.

Numerical Study of Hydrodynamic Forces on a Submarine Piggyback Pipeline Under Wave Action

2012 ◽  
Author(s):  
Xiaofei Cheng ◽  
Yongxue Wang ◽  
Bing Ren ◽  
Guoyu Wang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Model ◽  
Stokes Equations ◽  
Numerical Study ◽  
Hydrodynamic Forces ◽  
Wave Action ◽  
Numerical Results ◽  
Physical Model Test ◽  
Element Method

In the paper, a 2D numerical model is established to simulate the hydrodynamic forces on a submarine piggyback pipeline under regular wave action. The two-dimensional Reynolds-averaged Navier-Stokes equations with a κ-ω turbulence model closure are solved by using a three-step Taylor-Galerkin finite element method (FEM). A Computational Lagrangian-Eulerian Advection Remap Volume of Fluid (CLEAR-VOF) method is employed to simulate free surface problems, which is inherently compatible with unstructured meshes and finite element method. The numerical results of in-line force and lift (transverse) force on the piggyback pipeline for e/D = G/D = 0.25 and KC = 25.1 are compared with physical model test results, which are conducted in a marine environmental flume in the State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, China. It is indicated that the numerical results coincide with the experimental results and that the numerical model can be used to predict the hydrodynamic forces on the piggyback pipeline under wave action. Based on the numerical model, the surface pressure distribution and the motion of vortices around the piggyback pipeline for e/D = G/D = 0.25, KC = 25.1 are investigated, and a characteristic vortex pattern around the piggyback pipeline denoted “anti-phase-synchronized” pattern is recognized.

Performance of gravity caisson on sand compaction piles

2008 ◽  
Vol 45 (3) ◽  
pp. 393-407
Author(s):  
Chun Fai Leung ◽  
Rui Fu Shen
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Field Study ◽  
Tilt Angle ◽  
Back Analysis ◽  
Numerical Results ◽  
Container Port ◽  
The Finite Element Method ◽  
Quay Cranes ◽  
Element Method

Gravity caissons were employed as part of the wharf front structures for a container port terminal in Singapore. This paper reports the movements of eight consecutive gravity caissons supported on sand compaction piles (SCPs) with highly variable lengths of penetration. It is established that the caisson movements increase with an increase in the length of the SCP, as longer SCPs are necessary when hard strata are at greater depth. The large caisson movements observed during caisson infilling and backfilling do not pose a concern because the wharf deck beams connecting adjacent caissons can be adjusted. However, the caisson movements under service loads would affect the operation of the overlying quay cranes on top of the caissons. The present field study reveals that preloading the caissons is effective in reducing the caisson movements under service loads because the observed caisson movements are insignificant during subsequent unloading–reloading of the caissons. Back-analysis using the finite element method (FEM) shows that the observed caisson movements at different construction stages can be reasonably replicated. The numerical results are also used to evaluate the caisson tilt angle, which could not be measured in the present field study. The caisson tilt is found to be independent of the length of SCPs underneath a caisson.

Parallel Multiblock Mixed Finite Element Method for Elliptic Problems on Unstructured Grids

2002 ◽  
Author(s):  
Darrell W. Pepper ◽  
Jichun Li
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Unstructured Grids ◽  
Mixed Finite Element ◽  
Elliptic Problems ◽  
Mixed Finite Element Method ◽  
Numerical Results ◽  
2D And 3D ◽  
Element Method

In this paper, we develop a general multiblock mixed finite element method for solving 2D and 3D elliptic problems by different unstructured grids on both serial and parallel platforms. Detailed implementations and numerical results are presented.

Effect of Internal Pressure on Flexibility Factors in Pipe Elbows With End Constraints

1985 ◽  
Vol 107 (1) ◽  
pp. 60-63 ◽  
Author(s):  
R. Natarajan ◽  
S. Mirza
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stress Distribution ◽  
Internal Pressure ◽  
Numerical Results ◽  
Flexibility Factor ◽  
Bend Angles ◽  
Element Method

Finite element method has been used in the present work to study the stress distribution in an elbow with end constraints subjected to in-plane moment and pressure. Elbows of short radius (R/r) with varying pipe factors and bend angles have been considered. Present numerical results show for all elbow angles that follower pipe factors (thin pipes) the internal pressure reduces the flexibility factor by a larger amount than for elbows having larger pipe factors. These results are in line with the conclusions published earlier.

The Influence on Lining Moment of Tunnel under the Local Weakening of Structural Strength of Loess

2011 ◽  
Vol 250-253 ◽  
pp. 3872-3875
Author(s):  
Rong Jian Li ◽  
Wen Zheng ◽  
Juan Fang ◽  
Gao Feng Che
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Structural Strength ◽  
Numerical Results ◽  
The Finite Element Method ◽  
Loess Area ◽  
Element Method

The influence of structural strength on the lining moment of tunnel should be properly evaluated in order to meet the engineering demand in loess area. It is essential to analyze and evaluate the lining moment of tunnel by means of the finite element method under the condition of the different local weakening of structural strength in loess. Firstly, some researches on the structural strength of loess tunnel are reviewed. Then, some different cases of the local weakening of structural strength in loess are analyzed in this paper. Numerical results not only indicate that the lining moment of tunnel tends to change obviously with the different local weakening of the structural strength, but also reveal that the weakening location of structural strength has important effect on the distribution and redistribution of the lining moment of tunnel.

Closed-Form Approximate Formulas for Torsional Analysis of Hollow Tubes with Straight and Circular Edges

2009 ◽  
Vol 25 (4) ◽  
pp. 401-409 ◽  
Author(s):  
A. Doostfatemeh ◽  
M. R. Hematiyan ◽  
S. Arghavan
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Closed Form ◽  
Cross Section ◽  
Stress Function ◽  
Analytical Formulas ◽  
The Cross ◽  
Torsional Analysis ◽  
Approximate Formulas ◽  
Element Method

ABSTRACTSome analytical formulas are presented for torsional analysis of homogeneous hollow tubes. The cross section is supposed to consist of straight and circular segments. Thicknesses of segments of the cross section can be different. The problem is formulated in terms of Prandtl's stress function. The derived approximate formulas are so simple that computations can be carried out by a simple calculator. Several examples are presented to validate the formulation. The accuracy of formulas is verified by accurate finite element method solutions. It is seen that the error of the formulation is small and the formulas can be used for analysis of thin to moderately thick-walled hollow tubes.

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