A fully coupled element-free Galerkin model for hydro-mechanical analysis of advancement of fluid-driven fractures in porous media

2016 ◽  
Vol 40 (16) ◽  
pp. 2178-2206 ◽  
Author(s):  
S. Samimi ◽  
A. Pak
Keyword(s):  
Porous Media ◽  
Mechanical Analysis ◽  
Element Free Galerkin ◽  
Element Free ◽  
Fully Coupled

Steady-State Response Evaluation of Shape Memory Alloy Wire Under Resistive Heating Using a Newly Developed Element-Free Galerkin Meshless Method

2006 ◽  
Author(s):  
A. Ghazavi ◽  
H. A. Sepiani ◽  
F. Ebrahimi ◽  
A. Rastgo
Keyword(s):  
Shape Memory ◽  
Meshless Method ◽  
Resistive Heating ◽  
State Response ◽  
Element Free Galerkin ◽  
Extended Application ◽  
Macro Scale ◽  
Element Free ◽  
Fully Coupled ◽  
Good Agreement

The studies on shape memory alloys show their much extended application field. Nowadays, many researches are carried out to solve constitutive equations of various models of SMAs. In this research, a macro-scale, phenomenological constitutive model for SMAs is used in conjunction with energy balance equations to study the evolution of temperature and deformation profiles seen in SMA wires under specific thermal and mechanical boundary conditions. In this way, the general fully-coupled thermomechanical formula for resistive heating of an SMA wire-initial detwined martensite leads to strain recovery on heating is used and numerical results are obtained with use of “Meshless” method. Comparisons have been made between the results predicted by proposed EFG method and available reference solutions in the literature, generated either analytically or numerically. A good agreement is obtained between the achieved results and the literature.

Application of an Element-free Galerkin Method to Water Wave Propagation Problems

2014 ◽  
Vol 60 (1-4) ◽  
pp. 87-105 ◽  
Author(s):  
Ryszard Staroszczyk
Keyword(s):  
Wave Propagation ◽  
Galerkin Method ◽  
Present Model ◽  
Free Surface Elevation ◽  
Element Free Galerkin Method ◽  
Plane Flow ◽  
Element Free Galerkin ◽  
Proposed Model ◽  
Sloping Bed ◽  
Element Free

Abstract The paper is concerned with the problem of gravitational wave propagation in water of variable depth. The problem is solved numerically by applying an element-free Galerkin method. First, the proposed model is validated by comparing its predictions with experimental data for the plane flow in water of uniform depth. Then, as illustrations, results of numerical simulations performed for plane gravity waves propagating through a region with a sloping bed are presented. These results show the evolution of the free-surface elevation, displaying progressive steepening of the wave over the sloping bed, followed by its attenuation in a region of uniform depth. In addition, some of the results of the present model are compared with those obtained earlier by using the conventional finite element method.

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