Analysis of Elastic Surface Cracks in Cylinders Using the Line-Spring Model and Shell Finite Element Method

1985 ◽  
Vol 107 (4) ◽  
pp. 403-411 ◽  
Author(s):  
V. Kumar ◽  
M. D. German ◽  
B. I. Schumacher
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Aspect Ratio ◽  
Spring Model ◽  
Aspect Ratios ◽  
Surface Flaws ◽  
Line Spring Model ◽  
Shell Finite Element ◽  
Flaw Location ◽  
Element Method

This paper presents elastic analysis of axial and circumferential semielliptical surface flaws in cylinders using the line-spring model of Rice and Levy [1-3] and a shell finite element method. Results for the stress intensity factor are obtained at various points along the crack front, and are compared in some cases against published literature solutions. A broad range of values for the cylinder radius-to-wall thickness ratio, flaw depth and aspect ratio are considered including surface flaws with very large aspect ratios. The critical values of aspect ratio at which the surface flaws can be treated as 2-dimensional cracks are determined. Effect flaw location (internal or external) and flaw shape (semielliptical, circular or rectangular) are also investigated. Finally, the significance of these results in the elastic-plastic fracture analysis procedures is discussed.

Mechanical Behavior of SiC Fiber Reinforced Al Matrix Composites: A Study Based on Finite Element Method

2011 ◽  
Vol 239-242 ◽  
pp. 2785-2789
Author(s):  
Chao Sun ◽  
Min Song ◽  
Ru Juan Shen ◽  
Yong Du
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Aspect Ratio ◽  
Plastic Region ◽  
Matrix Composites ◽  
Fiber Reinforced ◽  
Sic Fiber ◽  
Al Matrix Composites ◽  
Al Matrix ◽  
Element Method

The effects of SiC fiber shape, aspect ratio and loading direction on the deformation behavior of SiC fiber reinforced Al matrix composites were studied by finite element method using axisymmetric unit cell model. The results showed that the addition of reinforcements will cause constraint on the plastic flow of ductile matrix, and thus result in no-uniform stress distribution. The reinforcement shape has a pronounced effect on the overall plastic deformation of the metal matrix composites. The loading condition will cause different failure mechanisms of composites. Under tensile loading, the stress-bearing ability in the plastic region is increased with the fiber aspect ratio due to the increase in the interface between the reinforcement and matrix and the decrease in the inter-particle space.

Eigenvector and eigenvalue analysis of thick plates resting on elastic foundation with first order finite element

2018 ◽  
Vol 4 (2) ◽  
pp. 61
Author(s):  
Yaprak Itır Özdemir
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Aspect Ratio ◽  
Free Vibration ◽  
Vibration Analysis ◽  
Free Vibration Analysis ◽  
Winkler Foundation ◽  
Thick Plates ◽  
First Order ◽  
Element Method

The purpose of this paper is to study free vibration analysis of thick plates resting on Winkler foundation using Mindlin’s theory with first order finite element, to determine the effects of the thickness/span ratio, the aspect ratio, subgrade reaction modulus and the boundary conditions on the frequency parameters of thick plates subjected to free vibration. In the analysis, finite element method is used for spatial integration. Finite element formulation of the equations of the thick plate theory is derived by using first order displacement shape functions. A computer program using finite element method is coded in C++ to analyze the plates free, clamped or simply supported along all four edges. In the analysis, 4-noded finite element is used. Graphs are presented that should help engineers in the design of thick plates subjected to earthquake excitations. It is concluded that 4-noded finite element can be effectively used in the free vibration analysis of thick plates. It is also concluded that, in general, the changes in the thickness/span ratio are more effective on the maximum responses considered in this study than the changes in the aspect ratio.

Constrained shell finite element method for elastic buckling analysis of thin-walled members

2019 ◽  
Vol 145 ◽  
pp. 106409 ◽  
Author(s):  
Sheng Jin ◽  
Zhanjie Li ◽  
Fang Huang ◽  
Dan Gan ◽  
Rui Cheng ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Buckling Analysis ◽  
Elastic Buckling ◽  
Thin Walled ◽  
Shell Finite Element ◽  
Element Method

Effects of Footfall Induced Vibrations on Concrete and Composite Floors

2015 ◽  
Vol 802 ◽  
pp. 155-160
Author(s):  
Chuen Keit Leing ◽  
Anwar Mohammed Parvez ◽  
Wael Elleithy
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Frame Structure ◽  
The Finite Element Method ◽  
Aspect Ratios ◽  
Floor Slabs ◽  
Vibration Responses ◽  
Element Method ◽  
Composite Floors

This paper investigates the effects of footfall induced vibrations on the floors of a 3-storey sub-frame structure. Composite and concrete floors were examined. Variables involved are floor widths, floor thicknesses, floor aspect ratios and column heights. Models are generated and analysed using the finite element method. The vibration responses were represented in terms of displacements and accelerations. Results show that higher vibration responses occurs on longer floor widths, thinner floor slabs and higher floor aspect ratios for both composite and concrete floors.

Finite Element Simulation of Performance Characteristics of Infinitely Wide Plane Pad Slider Bearing

2009 ◽  
Vol 62-64 ◽  
pp. 637-642 ◽  
Author(s):  
M.H. Oladeinde ◽  
John A. Akpobi
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Finite Element Simulation ◽  
Frictional Force ◽  
Maximum Point ◽  
The Finite Element Method ◽  
Slider Bearing ◽  
Aspect Ratios ◽  
Element Simulation ◽  
Element Method

The paper describes the results of a numerical study using Galerkin’s finite element method on an infinitely wide slider bearing. The analysis is based upon the generalized Reynolds equation with the assumption that the pressure gradient in the lubricating film is negligible in the axial direction. Detailed results for bearing characteristics including pressure, load capacity, frictional force, frictional coefficient as a function of film thickness ratio (aspect ratio), and velocity of slider show that these parameters have a strong influence on the bearing behavior. Specifically, it has been shown that friction coefficient and frictional force increases with lower aspect ratios. Also, higher load carrying and maximum pressure is obtained with increased speed of the slider Point wise comparison of the results obtained using the Finite Element Method and that obtained with second order Finite Difference marching Method using base parameters show that the latter simulation has a maximum point wise error of 0.46% in comparison to 0.32% for Finite Element simulation. It has been shown that the Finite Element Method produces more accurate results. The results are in tabular and graphical forms.

Thermo-mechanical induced vibration characteristics of shear deformable functionally graded ceramic—metal plates using finite element method

2010 ◽  
Vol 225 (1) ◽  
pp. 50-65 ◽  
Author(s):  
M Talha ◽  
B N Singh
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Temperature Field ◽  
Boundary Conditions ◽  
Vibration Characteristics ◽  
Functionally Graded ◽  
Thickness Direction ◽  
Aspect Ratios ◽  
Shear Deformable ◽  
Element Method

This paper deals with the thermomechanical-induced vibration characteristics of shear deformable functionally graded material (FGM) plates. Theoretical formulations are based on higher-order shear deformation theory with a significant improvement in the transverse displacement using finite-element method. The mechanical properties of the plate are assumed to be temperature-dependent and graded in the thickness direction according to a power-law distribution in terms of the volume fractions of the constituents. The temperature field is ascertained to be a uniform distribution over the plate surface and varied in the thickness direction only. The fundamental equations for FGM plates are derived using variational approach by considering traction-free boundary conditions on the top and bottom faces of the plate. A C0 continuous isoparametric Lagrangian finite-element with 13 degrees of freedom (DOF) per node have been used to accomplish the results. Convergence and comparison studies have been performed for square plates to demonstrate the efficiency of the present model. The numerical results are obtained for different thickness ratios, aspect ratios, volume fraction index, and temperature rise with different boundary conditions. The results reveal that the temperature field and the gradient in the material properties have significant effect on the vibration characteristics of the FGM plates.

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