Result: Using constraint satisfaction as a means for modelling parallel folding evolution

Title:
Using constraint satisfaction as a means for modelling parallel folding evolution
Authors:
EDMUNDS, R, HICKS, B. J, MULLINEUX, G
Source:
Reflections in nonlinear mechanicsIMA journal of applied mathematics. 76(1):169-192
Publisher Information:
Oxford: Oxford University Press, 2011.
Publication Year:
2011
Physical Description:
print, 1 p.3/4
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Mechanics acoustics, Mécanique et acoustique, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Combinatoire. Structures ordonnées, Combinatorics. Ordered structures, Combinatoire, Combinatorics, Plans d'expériences et configurations, Designs and configurations, Analyse mathématique, Mathematical analysis, Calcul des variations et contrôle optimal, Calculus of variations and optimal control, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Méthodes numériques en programmation mathématique, optimisation et calcul variationnel, Numerical methods in mathematical programming, optimization and calculus of variations, Optimisation et calcul variationnel numériques, Numerical methods in optimization and calculus of variations, Analyse numérique, Numerical analysis, Análisis numérico, Calcul variationnel, Variational calculus, Cálculo de variaciones, Coefficient frottement, Friction coefficient, Coeficiente roce, Géométrie, Geometry, Geometría, Mathématiques appliquées, Applied mathematics, Matemáticas aplicadas, Modèle linéaire, Linear model, Modelo lineal, Méthode optimisation, Optimization method, Método optimización, Méthode séquentielle, Sequential method, Método secuencial, Programmation mathématique, Mathematical programming, Programación matemática, 05Bxx, 49XX, 65K10, 65Kxx, constraints, design optimization, energy methods, friction, parallel folding, structural geology
Document Type:
Academic journal Article
File Description:
text
Language:
English
Author Affiliations:
Department of Mechanical Engineering, Innovative Design and Manufacturing Research Centre, University of Bath, Bath BA2 7AY, United Kingdom
ISSN:
0272-4960
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=23933791
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.23933791
Database:
PASCAL Archive

Further Information

This paper uses constraint satisfaction and optimization to find least energy solutions of a solid, elastic frictional model for parallel folding. Such a model is representative of multilayer geological systems undergoing buckling deformation and modelling the evolution of folds poses a significant problem. Simplifying the model down to a two-layer formulation and, assuming the geometry of the whole layered material is governed by this, the behaviour of the central interface is modelled using a number of points whose movement is constrained. The small-deflection model, with a linear foundation and no apparent lock-up criteria, closely matches the sequential nature seen in experiments. By adding a hardening non-linear foundation stiffness and linearly increasing the overburden pressure, the destabilization and restabilization of the experimental load-deflection plots is clearly observed.