scholarly journals Stress distribution around an elliptic hole in a plate with ‘implicit’ and ‘explicit’ non-local models

2021 ◽  
Vol 256 ◽  
pp. 113003
Author(s):  
Meral Tuna ◽  
Patrizia Trovalusci
Keyword(s):  
Stress Distribution ◽  
Elliptic Hole ◽  
Local Models ◽  
Non Local ◽  
Implicit And Explicit

Consistent tangent operators for implicit non-local models of integral type

2014 ◽  
Vol 141 ◽  
pp. 59-73 ◽  
Author(s):  
F.X.C. Andrade ◽  
F.M. Andrade Pires ◽  
J.M.A. Cesar de Sa
Keyword(s):  
Local Models ◽  
Integral Type ◽  
Non Local

scholarly journals A space-jump derivation for non-local models of cell-cell adhesion and non-local chemotaxis

2016 ◽  
Author(s):  
Andreas Buttenschön ◽  
Thomas Hillen ◽  
Alf Gerisch ◽  
Kevin J. Painter
Keyword(s):  
Random Walk ◽  
Mean Field ◽  
Polarization Vector ◽  
Jump Process ◽  
Biological Properties ◽  
Cellular Adhesion ◽  
Cell Polarization ◽  
Local Models ◽  
A Cell ◽  
Non Local

AbstractCellular adhesion provides one of the fundamental forms of biological interaction between cells and their surroundings, yet the continuum modelling of cellular adhesion has remained mathematically challenging. In 2006, Armstrong et al. proposed a mathematical model in the form of an integro-partial differential equation. Although successful in applications, a derivation from an underlying stochastic random walk has remained elusive. In this work we develop a framework by which non-local models can be derived from a space-jump process. We show how the notions of motility and a cell polarization vector can be naturally included. With this derivation we are able to include microscopic biological properties into the model. We show that particular choices yield the original Armstrong model, while others lead to more general models, including a doubly non-local adhesion model and non-local chemotaxis models. Finally, we use random walk simulations to confirm that the corresponding continuum model represents the mean field behaviour of the stochastic random walk.

Non-local models of pion-nucleon, pion-hyperon interactions

1957 ◽  
Vol 5 (3) ◽  
pp. 666-683 ◽  
Author(s):  
P. Budini ◽  
L. Fonda
Keyword(s):  
Local Models ◽  
Pion Nucleon ◽  
Non Local

Stresses Around an Elliptic Hole in a Cylindrical Shell

1969 ◽  
Vol 36 (1) ◽  
pp. 39-46 ◽  
Author(s):  
M. V. V. Murthy
Keyword(s):  
Cylindrical Shell ◽  
Stress Distribution ◽  
Theoretical Analysis ◽  
Circular Cylindrical Shell ◽  
Elliptic Hole ◽  
Major Axis ◽  
Axial Tension ◽  
Method Of Solution ◽  
Bending Stresses ◽  
Curvature Parameter

A theoretical analysis is presented for the membrane and bending stresses around an elliptic hole in a long, thin, circular cylindrical shell with the major axis of the hole parallel to the axis of the shell. The analysis has been carried out for the case of axial tension. The method of solution involves a perturbation in a curvature parameter and the results obtained are valid, if the hole is small in size compared to the shell. Formulas, from which the complete stress distribution at the hole can be calculated, are presented.

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