Numerical methods for extracting edge stress intensity functions in anisotropic three-dimensional domains

2007 ◽  
Vol 196 (37-40) ◽  
pp. 3624-3649 ◽  
Author(s):  
Zohar Yosibash ◽  
Netta Omer
Keyword(s):  
Stress Intensity ◽  
Numerical Methods ◽  
Three Dimensional ◽  
Edge Stress ◽  
Intensity Functions

scholarly journals Edge Stress Intensity Functions in Polyhedral Domains and their Extraction by a Quasidual Function Method

2005 ◽  
Vol 136 (1-4) ◽  
pp. 37-73 ◽  
Author(s):  
Zohar Yosibash ◽  
Netta Omer ◽  
Martin Costabel ◽  
Monique Dauge
Keyword(s):  
Stress Intensity ◽  
Function Method ◽  
Edge Stress ◽  
Intensity Functions

A Quasi-Dual Function Method for Extracting Edge Stress Intensity Functions

2004 ◽  
Vol 35 (5) ◽  
pp. 1177-1202 ◽  
Author(s):  
Martin Costabel ◽  
Monique Dauge ◽  
Zohar Yosibash
Keyword(s):  
Stress Intensity ◽  
Function Method ◽  
Dual Function ◽  
Edge Stress ◽  
Intensity Functions

Singular asymptotic expansion of the elastic solution along an edge around which material properties depend on the angular coordinate

2016 ◽  
Vol 22 (12) ◽  
pp. 2288-2308 ◽  
Author(s):  
Netta Omer ◽  
Zohar Yosibash
Keyword(s):  
Finite Element ◽  
Asymptotic Expansion ◽  
Stress Intensity ◽  
Asymptotic Solution ◽  
Finite Element Methods ◽  
Material Properties ◽  
Three Dimensional ◽  
Angular Coordinate ◽  
Angular Direction ◽  
Intensity Functions

The solution to the elasticity problem in three-dimensional polyhedral domains in the vicinity of an edge around which the material properties depend on the angular angle is addressed. This asymptotic solution involves a family of eigenpairs and their shadows which are being computed by means of p-finite element methods. In particular the examples we give explicitly provide the asymptotic solution for cracks and V-notch edges and explore the eigenvalues as a function of the change in material properties in the angular direction. We demonstrate that the singular exponents may change considerably by changing the material properties variation in the angular direction. These eigenpairs are necessary to allow the extraction of the edge stress intensity functions.

scholarly journals Edge stress intensity functions in 3-D anisotropic composites

2008 ◽  
Vol 68 (5) ◽  
pp. 1216-1224 ◽  
Author(s):  
Z YOSIBASH ◽  
N OMER ◽  
M DAUGE
Keyword(s):  
Stress Intensity ◽  
Edge Stress ◽  
Intensity Functions

Optimization of the Navy’s three-dimensional mine impact burial prediction simulation model, Impact35, using high-order numerical methods

2021 ◽  
pp. 154851292110286
Author(s):  
Athanasios Donas ◽  
Ioannis Famelis ◽  
Peter C Chu ◽  
George Galanis
Keyword(s):  
Numerical Analysis ◽  
Numerical Methods ◽  
Prediction Model ◽  
Simulation Model ◽  
Three Dimensional ◽  
Simulation System ◽  
High Order ◽  
Alternative Methodology ◽  
Runge Kutta ◽  
Fifth Order

The aim of this paper is to present an application of high-order numerical analysis methods to a simulation system that models the movement of a cylindrical-shaped object (mine, projectile, etc.) in a marine environment and in general in fluids with important applications in Naval operations. More specifically, an alternative methodology is proposed for the dynamics of the Navy’s three-dimensional mine impact burial prediction model, Impact35/vortex, based on the Dormand–Prince Runge–Kutta fifth-order and the singly diagonally implicit Runge–Kutta fifth-order methods. The main aim is to improve the time efficiency of the system, while keeping the deviation levels of the final results, derived from the standard and the proposed methodology, low.

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