A two dimensional VCFEM formulated with plastic, creep and thermal strain for simulate fatigue of porous material

2020 ◽  
Vol 252 ◽  
pp. 112598
Author(s):  
WenYu Hao ◽  
Ran Guo ◽  
Ning Han
Keyword(s):  
Porous Material ◽  
Thermal Strain ◽  
Two Dimensional ◽  
Plastic Creep

Convection fluid dynamics in a model of a fault zone in the earth's crust

1978 ◽  
Vol 88 (4) ◽  
pp. 769-792 ◽  
Author(s):  
D. R. Kassoy ◽  
A. Zebib
Keyword(s):  
Fluid Dynamics ◽  
Rayleigh Number ◽  
Porous Material ◽  
Fault Zone ◽  
Slug Flow ◽  
Tectonic Activity ◽  
Two Dimensional ◽  
Core Flow ◽  
Number Flow ◽  
Large Rayleigh Number

Faulted regions associated with geothermal areas are assumed to be composed of rock which has been heavily fractured within the fault zone by continuous tectonic activity. The fractured zone is modelled as a vertical, slender, two-dimensional channel of saturated porous material with impermeable walls on which the temperature increases linearly with depth. The development of an isothermal slug flow entering the fault at a large depth is examined. An entry solution and the subsequent approach to the fully developed configuration are obtained for large Rayleigh number flow. The former is characterized by growing thermal boundary layers adjacent to the walls and a slightly accelerated isothermal core flow. Further downstream the development is described by a parabolic system. It is shown that a class of fully developed solutions is not spatially stable.

Bridging Gaps in Laser Transmission Welding of Thermoplastics

2007 ◽  
Vol 129 (6) ◽  
pp. 1011-1018 ◽  
Author(s):  
James D. Van de Ven ◽  
Arthur G. Erdman
Keyword(s):  
Thermal Strain ◽  
Three Dimensional ◽  
Industrial Applications ◽  
Weld Strength ◽  
Operating Parameters ◽  
Two Dimensional ◽  
Dimensional Model ◽  
Three Dimensional Model ◽  
Laser Transmission Welding ◽  
Absorbing Material

Gaps at part interfaces pose a major challenge for laser transmission welding (LTW) of thermoplastics due to the reliance on contact conduction between the absorptive and transmissive parts. In industrial applications, gaps between parts can occur for a variety of tolerance and process control reasons. Previous experimental and modeling work in LTW has focused on gap-free joints, with little attention to bridging a gap with thermal expansion of the absorbing material. A two-dimensional comprehensive numerical model simulated bridging gaps in LTW. Using the model, operating parameters were selected for welding across a 12.7μm gap and a 25.4μm gap by creating sufficient thermal strain to bridge the gap and form a weld. Using these operating parameters, PVC samples were welded in a T-joint geometry with a designed gap. The quality of the welds was assessed visually, by destructive force testing and by measuring the weld size to quantify the weld strength. All the experimental samples, for the two gap sizes, bridged the gap and formed welds. The average weld strength of the 12.7μm gap samples was 16.1MPa, while the 25.4μm gap samples had an average strength of 10.0MPa. Gaps were successfully bridged with LTW by using a two-dimensional model to design the operating parameters. To achieve higher modeling accuracy, a three-dimensional model might better simulate the thermal diffusion in the direction of laser travel.

Approximate and Analytic Solutions for Deformation of Finite Porous Filters

1997 ◽  
Vol 64 (4) ◽  
pp. 929-934 ◽  
Author(s):  
S. I. Barry ◽  
G. N. Mercer ◽  
C. Zoppou
Keyword(s):  
Fluid Flow ◽  
Steady State ◽  
Porous Material ◽  
Deformation Behavior ◽  
Fluid Velocity ◽  
Approximate Solutions ◽  
Analytic Solutions ◽  
Two Dimensional ◽  
Solid Stress ◽  
Side Walls

The deformation, using linear poroelasticity, of a two-dimensional box of porous material due to fluid flow from a line source is considered as a model of certain filtration processes. Analytical solutions for the steady-state displacement, pressure, and fluid velocity are derived when the side walls of the filter have zero solid stress. A numerical solution for the case where the porous material adheres to the side walls is also found. It will be shown, however, that simpler approximate solutions can be derived which predict the majority of the deformation behavior of the filter.

scholarly journals An Eigenvalues Approach for a Two-Dimensional Porous Medium Based Upon Weak, Normal and Strong Thermal Conductivities

Symmetry ◽  
2020 ◽  
Vol 12 (5) ◽  
pp. 848
Author(s):  
Faris Alzahrani ◽  
Aatef Hobiny ◽  
Ibrahim Abbas ◽  
Marin Marin
Keyword(s):  
Porous Medium ◽  
Porous Material ◽  
Volume Fraction ◽  
Numerical Results ◽  
Two Dimensional ◽  
Temperature Stresses ◽  
Symmetric Geometry ◽  
Thermal Conductivities

This work is devoted to the investigation of a two-dimensional porous material under weak, strong and normal conductivity, using the eigenvalues method. By using Laplace–Fourier transformations with the eigenvalues technique, the variables are analytically obtained. The derived technique is assessed with numerical results that are obtained from the porous mediums using simplified symmetric geometry. The results, including the displacements, temperature, stresses and the change in the volume fraction field, are offered graphically. Comparisons are made among the outcomes obtained under weak, normal and strong conductivity.

A Numerical Study of the Diffusion Performance of a Terraced Classroom

2011 ◽  
Vol 97 (5) ◽  
pp. 890-899
Author(s):  
Zhaorong Zhang ◽  
C. M. Mak ◽  
Jianliang Li
Keyword(s):  
Boundary Element Method ◽  
Porous Material ◽  
Sound Wave ◽  
Sound Pressure ◽  
Numerical Study ◽  
Quadratic Residue ◽  
Pressure Level ◽  
Two Dimensional ◽  
Rear Wall ◽  
Dimensional Boundary

The acoustic diffusion performance of a terraced classroom was investigated using a two-dimensional boundary element method. Quadratic residue diffuser (QRD) and porous material were employed on the ceiling and rear wall, respectively, to improve the diffusion performance. The diffusion gains of various models were calculated to compare the diffusion performance. It is found that terraces in a rectangular classroom raise the lowest sound pressure level and provide slight diffusion improvement. The QRD ceiling enhances the diffusion by scattering the sound wave to be more evenly distributed, but at some frequencies the diffusion improvement is minor or even negative. The absorption rear wall provides useful diffusion gain mainly at higher frequencies by absorbing parts of the reflected sound. When the parameters of the QRD ceiling and porous material change, the diffusion improvement first increases and then begins to decrease. In a terraced classroom with both treatments, the diffusion at lower frequencies is similar to that with the QRD ceiling, while at higher frequencies it resembles that with the absorption rear wall. The results clearly indicate that the combination of the two treatments produces the most desirable diffusion performance of the tested models.

Two-dimensional finite-difference time-domain analysis of sound propagation in rigid-frame porous material based on equivalent fluid model

2019 ◽  
Vol 146 ◽  
pp. 204-212 ◽  
Author(s):  
Jing Zhao ◽  
Zhifei Chen ◽  
Ming Bao ◽  
Hyojin Lee ◽  
Shinichi Sakamoto
Keyword(s):  
Finite Difference ◽  
Porous Material ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
Sound Propagation ◽  
Fluid Model ◽  
Time Domain Analysis ◽  
Two Dimensional ◽  
Rigid Frame ◽  
Difference Time
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