A computational procedure for simulation of crack advance in arbitrary two-dimensional domains

1997 ◽  
Vol 20 (1-2) ◽  
pp. 133-138 ◽  
Author(s):  
M. M. Rashid
Keyword(s):  
Computational Procedure ◽  
Crack Advance ◽  
Two Dimensional

A Hybrid Marching Integration Procedure for the Prediction of Two-Dimensional Supersonic Boundary Layers

1977 ◽  
Vol 99 (1) ◽  
pp. 205-212 ◽  
Author(s):  
R. I. Issa ◽  
F. C. Lockwood
Keyword(s):  
Boundary Layer ◽  
Method Of Characteristics ◽  
Wave Interaction ◽  
Computational Procedure ◽  
Analytic Solutions ◽  
Pressure Waves ◽  
Two Dimensional ◽  
Inviscid Flows ◽  
Hyperbolic Component ◽  
Wall Flows

An economical, “parabolic/hyperbolic hybrid,” numerical prediction procedure, employing marching integration, is presented for the computation of supersonic flows of the boundary layer class in which embedded pressure waves are present. The hyperbolic component is based on the method of characteristics, while the computational procedure of Patankar and Spalding constitutes the parabolic component. The method is evaluated against analytic solutions for inviscid flows and against experiment for laminar and turbulent near-wall flows. Calculations for laminar and turbulent free shear flows are also presented. The method performs well when the viscous/wave interaction is not strong enough to induce significant “upstream influence.”

On Interface Crack Growth in Composite Plates

1992 ◽  
Vol 59 (3) ◽  
pp. 530-538 ◽  
Author(s):  
K.-F. Nilsson ◽  
B. Stora˚kers
Keyword(s):  
Crack Growth ◽  
Material Properties ◽  
Composite Structures ◽  
Plate Theory ◽  
Beam Theory ◽  
Composite Plates ◽  
Crack Advance ◽  
Two Dimensional ◽  
Singular Stress

Analysis of fracture growth, and in particular at interfaces, is pertinent not only to load-carrying members in composite structures but also as regards, e.g., adhesive joints, thin films, and coatings. Ordinarily linear fracture mechanics then constitutes the common tool to solve two-dimensional problems occasionally based on beam theory. In the present more general effort, an analysis is first carried out for determination of the energy release rate at general loading of multilayered plates with local crack advance either at interfaces or parallel to such. The procedure is accomplished for arbitrary hyperelastic material properties within von Karman plate theory and the results are expressed by aid of an Eshelby energy momentum tensor. By a feasible superposition it is then shown that the original nonlinear plate problem may be reduced to that of an equivalent beam in case of linear material properties. As a consequence of the so-established principle, the magnitude of mode-dependent singular stress amplitude factors is then directly determinable from earlier two-dimensional linear beam solutions for isotropic and anisotropic bimaterials and relevant at determination of cohesive and adhesive fracture. The procedure is illustrated by an analysis of combined buckling and crack growth of a delaminated plate having a nontrivial crack contour.

scholarly journals A New gH-Difference for Multi-Dimensional Convex Sets and Convex Fuzzy Sets

Axioms ◽  
2019 ◽  
Vol 8 (2) ◽  
pp. 48 ◽  
Author(s):  
Luciano Stefanini ◽  
Barnabas Bede
Keyword(s):  
Fuzzy Sets ◽  
Hausdorff Distance ◽  
Convex Sets ◽  
Compact Convex ◽  
Computational Procedure ◽  
Difference Set ◽  
Vector Spaces ◽  
Two Dimensional ◽  
Hukuhara Difference ◽  
The Difference

In the setting of Minkowski set-valued operations, we study generalizations of the difference for (multidimensional) compact convex sets and for fuzzy sets on metric vector spaces, extending the Hukuhara difference. The proposed difference always exists and allows defining Pompeiu-Hausdorff distance for the space of compact convex sets in terms of a pseudo-norm, i.e., the magnitude of the difference set. A computational procedure for two dimensional sets is outlined and some examples of the new difference are given.

scholarly journals Numerical Simulation of Fractional Zakharov–Kuznetsov Equation for Description of Temporal Discontinuity Using Projected Differential Transform Method

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Dianchen Lu ◽  
Muhammad Suleman ◽  
Jamshaid Ul Rahman ◽  
Samad Noeiaghdam ◽  
Ghulam Murtaza
Keyword(s):  
Iterative Procedure ◽  
Computational Procedure ◽  
Absolute Error ◽  
Two Dimensional ◽  
Transform Method ◽  
The Core ◽  
Temporal Discontinuity ◽  
Surface Plot ◽  
Differential Transform ◽  
Linear And Nonlinear

The core aim of this study is to propose a novel computational procedure, namely, Elzaki transform iterative method to work out two-dimensional nonlinear time-fractional Zakharov–Kuznetsov equation numerically. We execute the suggested iterative procedure on two models and results are presented graphically in the form of surface plot and absolute error is compared with the VIM and HPM to show that the method is more powerful than VIM and HPM and deduce that the offered numerical pattern is more efficient in simulating linear and nonlinear fractional order models.

Simplified and Efficient Method of Computing Generalized Two-Dimensional Correlation Spectra

1996 ◽  
Vol 50 (7) ◽  
pp. 861-865 ◽  
Author(s):  
Jean-René Burie
Keyword(s):  
Efficient Method ◽  
Correlation Method ◽  
Computational Procedure ◽  
Two Dimensional ◽  
Time Axis ◽  
Practical Limitation ◽  
Overlapping Peaks ◽  
Physical Variables ◽  
New Formula

A very powerful generalized two-dimensional correlation method applicable to various types of spectroscopy involving signals dependent on various physical variables (e.g., time) was recently developed and reported. In order to obtain an easy computational procedure, the effect of the practical limitation of the data along the time axis to N is considered. This information gives rise to a new formula for the disrelation spectrum. This modified disrelation spectrum is shown to still be useful in the differentiation of overlapping peaks, even when N is small.

scholarly journals Electron Transport Using the Quantum Corrected Hydrodynamic Equations

VLSI Design ◽  
1995 ◽  
Vol 3 (2) ◽  
pp. 179-200 ◽  
Author(s):  
J. P. Kreskovsky ◽  
H. L. Grubin
Keyword(s):  
Electron Transport ◽  
Quantum Well ◽  
Semiconductor Device ◽  
Computational Procedure ◽  
Two Dimensional ◽  
Hydrodynamic Equations ◽  
One Dimensional ◽  
Device Structures ◽  
Hemt Structure ◽  
Sharp Interfaces

Transport in one- and two-dimensional semiconductor device structures is considered using a set of quantum corrected hydrodynamic equations. Simple one-dimensional simulations demonstrate the need to include quantum effects in structures with sharp interfaces. Application to a two-dimensional quantum well HEMT structure is then considered. A brief discussion of the computational procedure is also presented.

Spectrophotometric measurements of objective-prism spectra

1966 ◽  
Vol 24 ◽  
pp. 118-119
Author(s):  
Th. Schmidt-Kaler
Keyword(s):  
Progress Report ◽  
Two Dimensional ◽  
Objective Prism ◽  
Made In

I should like to give you a very condensed progress report on some spectrophotometric measurements of objective-prism spectra made in collaboration with H. Leicher at Bonn. The procedure used is almost completely automatic. The measurements are made with the help of a semi-automatic fully digitized registering microphotometer constructed by Hög-Hamburg. The reductions are carried out with the aid of a number of interconnected programmes written for the computer IBM 7090, beginning with the output of the photometer in the form of punched cards and ending with the printing-out of the final two-dimensional classifications.

Introductory paper

1966 ◽  
Vol 24 ◽  
pp. 3-5
Author(s):  
W. W. Morgan
Keyword(s):  
Line Intensity ◽  
Classification Scheme ◽  
Two Dimensional ◽  
Spectral Classification ◽  
Dimensional Array ◽  
Rr Lyrae ◽  
Metallic Line ◽  
Introductory Paper ◽  
Parameter Varying ◽  
Definition Of

1. The definition of “normal” stars in spectral classification changes with time; at the time of the publication of theYerkes Spectral Atlasthe term “normal” was applied to stars whose spectra could be fitted smoothly into a two-dimensional array. Thus, at that time, weak-lined spectra (RR Lyrae and HD 140283) would have been considered peculiar. At the present time we would tend to classify such spectra as “normal”—in a more complicated classification scheme which would have a parameter varying with metallic-line intensity within a specific spectral subdivision.

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