Numerical modelling of the stress and displacement fields around two- and three-dimensional cracks

1985 ◽  
Vol 22 (6) ◽  
pp. 171
Keyword(s):  
Numerical Modelling ◽  
Three Dimensional ◽  
Displacement Fields ◽  
Stress And Displacement Fields

Stress Interference in Three-Dimensional Torsion

1965 ◽  
Vol 32 (1) ◽  
pp. 21-25 ◽  
Author(s):  
R. A. Eubanks
Keyword(s):  
Stress Concentration ◽  
Displacement Field ◽  
Series Solution ◽  
Three Dimensional ◽  
Pure Torsion ◽  
Displacement Fields ◽  
Stress And Displacement Fields ◽  
Spherical Cavities ◽  
Infinite Extent ◽  
Axis Of Symmetry

An explicit series solution is presented for the stress and displacement fields in an elastic body of infinite extent containing two equidiameter spherical cavities. At large distances from the cavities the displacement field coincides with that which arises from pure torsion about the axis of symmetry. Numerical results are presented in graphs which demonstrate the interference of the two sources of stress concentration.

Shrink Fit of a Thick-Walled Cylinder With Contact Shear

1968 ◽  
Vol 35 (4) ◽  
pp. 729-736 ◽  
Author(s):  
L. R. Hill ◽  
A. S. Cakmak ◽  
R. Mark
Keyword(s):  
Coefficient Of Thermal Expansion ◽  
Mixed Boundary ◽  
Three Dimensional ◽  
Displacement Fields ◽  
Dual Integral Equations ◽  
Two Phase ◽  
Stress And Displacement Fields ◽  
Shrink Fit ◽  
Finite Band ◽  
Shear Condition

The shrink fit of a finite band on an infinite elastic thick-walled circular cylinder is formulated in terms of inhomogeneous dual integral equations. The solution is obtained by the series method for the case of a prescribed uniform radial displacement and an arbitrary contact shear. A three dimensional photoelastic experiment was performed to provide a realistic contact shear condition and to confirm the analytical solution. The model loading fixture was based on the high coefficient of thermal expansion and the two-phase character of epoxy. The resulting stress and displacement fields are compared with those of a similar mixed boundary value problem neglecting the contact shear.

Three-dimensional elasticity problems for the prismatic bar

2006 ◽  
Vol 462 (2070) ◽  
pp. 1877-1896 ◽  
Author(s):  
J.R Barber
Keyword(s):  
Three Dimensional ◽  
Elastic Problem ◽  
Displacement Fields ◽  
Recursive Procedure ◽  
Axial Coordinate ◽  
Linear Elastic ◽  
Stress And Displacement Fields ◽  
Elasticity Problems ◽  
Finite Power ◽  
Three Dimensional Elasticity

A general solution is given to the three-dimensional linear elastic problem of a prismatic bar subjected to arbitrary tractions on its lateral surfaces, subject only to the restriction that they can be expanded as finite power series in the axial coordinate z . The solution is obtained by repeated differentiation of the tractions with respect to z , establishing a set of sub-problems . A recursive procedure is then developed for generating the solution to from that for . This procedure involves three steps: integration of the stress and displacement fields with respect to z , using an appropriate Papkovich–Neuber (P–N) representation; solution of two-dimensional in-plane and antiplane corrective problems for the tractions in that are independent of z ; and expression of these corrective solutions in P–N form. The method is illustrated by an example.

Numerical Modeling of Partial Slip Contact Involving Inhomogeneous Materials

2012 ◽  
Author(s):  
Zhanjiang Wang ◽  
Xiaoqing Jin ◽  
Leon M. Keer ◽  
Qian Wang
Keyword(s):  
Half Space ◽  
Three Dimensional ◽  
Elastic Half Space ◽  
Partial Slip ◽  
Inhomogeneous Materials ◽  
Displacement Fields ◽  
Homogeneous Solutions ◽  
Equivalent Inclusion Method ◽  
Equivalent Inclusion ◽  
Stress And Displacement Fields

When solving the problems involving inhomogeneous materials, the influence of the inhomogeneity upon contact behavior should be properly considered. This research proposes a fast and novel method, based on the equivalent inclusion method where inhomogeneity is replaced by an inclusion with properly chosen eigenstrains, to simulate contact partial slip of the interface involving inhomogeneous materials. The total stress and displacement fields represent the superposition of homogeneous solutions and perturbed solutions due to the chosen eigenstrains. In the present numerical simulation, the half space is meshed into a number of cuboids of the same size, where each cuboid is has a uniform eigenstrain. The stress and displacement fields due to eigenstrains are formulated by employing the recent half-space inclusion solutions derived by the authors and solved using a three-dimensional fast Fourier transform algorithm. The partial slip contact between an elastic ball and an elastic half space containing a cuboidal inhomogeneity was investigated.

scholarly journals Stress and Strain Analysis of Functionally Graded Rectangular Plate with Exponentially Varying Properties

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Amin Hadi ◽  
Abbas Rastgoo ◽  
A. R. Daneshmehr ◽  
Farshad Ehsani
Keyword(s):  
Rectangular Plate ◽  
Three Dimensional ◽  
Strain Analysis ◽  
Functionally Graded ◽  
Stress And Strain ◽  
Governing Equations ◽  
Displacement Fields ◽  
Stress And Displacement Fields ◽  
Graded Material ◽  
Three Dimensional Elasticity

The bending of rectangular plate made of functionally graded material (FGM) is investigated by using three-dimensional elasticity theory. The governing equations obtained here are solved with static analysis considering the types of plates, which properties varying exponentially along direction. The value of Poisson’s ratio has been taken as a constant. The influence of different functionally graded variation on the stress and displacement fields was studied through a numerical example. The exact solution shows that the graded material properties have significant effects on the mechanical behavior of the plate.

Three-dimensional numerical modelling of the behaviour of a pile subjected to cyclic lateral loading

2010 ◽  
Vol 37 (7-8) ◽  
pp. 999-1007 ◽  
Author(s):  
E. Bourgeois ◽  
M.H.J. Rakotonindriana ◽  
A. Le Kouby ◽  
P. Mestat ◽  
J.F. Serratrice
Keyword(s):  
Numerical Modelling ◽  
Three Dimensional ◽  
Lateral Loading

A Stress Singularity Parameter Approach for Evaluating the Interfacial Reliability of Plastic Encapsulated LSI Devices

1989 ◽  
Vol 111 (4) ◽  
pp. 243-248 ◽  
Author(s):  
T. Hattori ◽  
S. Sakata ◽  
G. Murakami
Keyword(s):  
Adhesive Strength ◽  
Evaluation Method ◽  
Stress Singularity ◽  
The Finite Element Method ◽  
Displacement Fields ◽  
Stress And Displacement Fields ◽  
Ni Alloy ◽  
Base Resin ◽  
Interfacial Reliability ◽  
Parameter Approach

Since the stress and displacement fields near a bonding edge show singularity behaviors, the adhesive strength evaluation method, using maximum stresses calculated by a numerical stress analysis such as the finite element method, is generally not valid. In this paper, a new method, which uses two stress singularity parameters, is presented for evaluating adhesive strength. This method is applied to several kinds of molded models, composed of epoxy base resin and Fe-Ni alloy sheets, and plastic encapsulated LSI models. Predictions about the initiation and extension of delamination are compared with the results of observations made by scanning acoustic tomography on these models.

Preliminary results of numerical simulation of submarine landslide-generated waves

2021 ◽  
Author(s):  
Ramtin Sabeti ◽  
Mohammad Heidarzadeh
Keyword(s):  
Numerical Simulation ◽  
Numerical Modelling ◽  
Numerical Solutions ◽  
Numerical Technique ◽  
Source Region ◽  
Three Dimensional ◽  
Terminal Velocity ◽  
Sensitivity Analyses ◽  
Physical Experiments ◽  
Set Up

<p>Landslide-generated waves have been major threats to coastal areas and have led to destruction and casualties. Their importance is undisputed, most recently demonstrated by the 2018 Anak Krakatau tsunami, causing several hundred fatalities. The accurate prediction of the maximum initial amplitude of landslide waves (<em>η<sub>max</sub></em>) around the source region is a vital hazard indicator for coastal impact assessment. Laboratory experiments, analytical solutions and numerical modelling are three major methods to investigate the (<em>η<sub>max</sub></em>). However, the numerical modelling approach provides a more flexible and cost- and time-efficient tool. This research presents a numerical simulation of tsunamis due to rigid landslides with consideration of submerged conditions. In particular, this simulation focuses on studying the effect of landslide parameters on <em>η<sub>max</sub>.</em> Results of simulations are compared with our conducted physical experiments at the Brunel University London (UK) to validate the numerical model.</p><p>We employ the fully three-dimensional computational fluid dynamics package, FLOW-3D Hydro for modelling the landslide-generated waves. This software benefit from the Volume of Fluid Method (VOF) as the numerical technique for tracking and locating the free surface. The geometry of the simulation is set up according to the wave tank of physical experiments (i.e. 0.26 m wide, 0.50 m deep and 4.0 m). In order to calibrate the simulation model based on the laboratory measurements, the friction coefficient between solid block and incline is changed to 0.41; likewise, the terminal velocity of the landslide is set to 0.87 m/s. Good agreement between the numerical solutions and the experimental results is found. Sensitivity analyses of landslide parameters (e.g. slide volume, water depth, etc.) on <em>η<sub>max </sub></em>are performed. Dimensionless parameters are employed to study the sensitivity of the initial landslide waves to various landslide parameters.</p>

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