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G MacSithigh
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Missouri University of Science and Technology
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Mechanical and Aerospace Engineering
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Research Works
Research Works
(23)
Article
Fully Explicit Agmon's Condition for General States of a ...
International Journal of Non-Linear Mechanics (2007)
G. P. MacSithigh
Agmon's condition arises as a necessary condition at the boundary for minimizers in compressible and incompressible elasticity. It is commonly ...
Link
Article
Agmon's Condition for Incompressible Elasticity: A Formulation of Mielke-Sprenger ...
Zeitschrift Fur Angewandte Mathematik und Physik (2007)
G. P. MacSithigh
Agmon's Condition for incompressible elasticity is recast in a tractable variational form analogous to that developed by Mielke and Sprenger ...
Link
Article
Necessary Conditions At the Boundary for Minimizers in Incompressible Finite ...
Journal of Elasticity (2005)
G. P. MacSithigh
New necessary conditions for energy-minimizing states of an incompressible, elastic body are found. These must hold at boundary points at ...
Link
Article
Agmon's Condition for Incompressible Elasticity: A Variational Formulation
Proceedings of the 21st International Congress of Theoretical and Applied Mechanics (2004, Warsaw, Poland) (2004)
G. P. MacSithigh
Article
The Graves Condition for Incompressible Finite Elasticity
Mathematics and Mechanics of Solids (2003)
G. P. MacSithigh
The Graves and Weierstrass necessary conditions for minimizers are of central importance in the study of elastic materials that can ...
Link
Article
Collisions of Pseudo-Rigid Bodies: A Brach-Type Treatment.
International Journal of Engineering Science (1996)
H. Cohen and G. P. MacSithigh
Difficulties arise in the modeling of impacts with friction of pseudo-rigid bodies. Specifically, these are the problems of contact velocity ...
Link
Article
Discussion: Swerve During Three-Dimensional Impact of Rough Rigid Bodies
Journal of Applied Mechanics (1995)
G. P. Macsithigh
Link
Article
Impulsive Motions of Elastic Pseudo-Rigid Bodies II: Further Results and ...
Journal of Elasticity (1994)
H. Cohen and G. P. MacSithigh
In this paper we study collisions of pseudo-rigid bodies. A new formulation of the problem is given which extends the ...
Link
Article
Plane Motions of Elastic Pseudo-Rigid Bodies: An Example
Journal of Elasticity (1993)
H. Cohen and G. P. MacSithigh
Link
Article
Bifurcation and Stability of an Incompressible Elastic Body under Homogeneous ...
Quarterly Journal of Mechanics & Applied Mathematics (1992)
G. P. MacSithigh and Yi-Chao Chen
We study the equilibrium problem for a homogeneous, isotropic incompressible, elastic body subject to homogeneous dead loads such that two ...
Link
Article
Bifurcation and Stability of an Incompressible Elastic Body under Homogeneous ...
Quarterly Journal of Mechanics & Applied Mathematics (1992)
G. P. MacSithigh and Yi-Chao Chen
We study the bifurcation and energy-stability of equilibria of a Mooney-Rivlin body subject to a system of homogeneous dead loads ...
Link
Article
Mathematical Elasticity Volume One: Three-Dimensional Elasticity
SIAM Review (1992)
G. P. MacSithigh
Link
Article
Symmetric And Asymmetric Roto-deformations Of A Symmetrical, Isotropic, Elastic Pseudo-rigid ...
International Journal of Non-Linear Mechanics (1992)
H. Cohen and G. (Gearoid) P. MacSithigh
We establish the existence of both symmetric and asymmetric steady roto-deformations of an axisymmetric, isotropic, elastic pseudo-rigid body and study ...
Link
Article
Minimization in Nonlinear Elasticity Theory for Bodies Reinforced with Inextensible ...
Journal of Elasticity (1991)
Roger Fosdick and G. P. MacSithigh
Link
Article
Plane Motions of Elastic Pseudo-Rigid Bodies
Journal of Elasticity (1989)
H. Cohen and G. P. MacSithigh
Link
Article
A Plane Nonlinear Shear for an Elastic Layer with a ...
International Journal of Solids and Structures (1986)
Roger Fosdick, G. P. MacSithigh and K. R. Rajagopal
Link
Article
Minimization in Incompressible Nonlinear Elasticity Theory
Journal of Elasticity (1986)
Roger Fosdick and G. P. MacSithigh
Link
Article
Energy-Minimal Finite Deformations of a Symmetrically Loaded Elastic Sheet
Quarterly Journal of Mechanics & Applied Mathematics (1984)
G. P. MacSithigh
We study the homogeneous finite deformations of a rectangular sheet of a Mooney–Rivlin material subjected to equal tensile dead loads. ...
Link
Article
Errata in Our Paper "Helical Shear of an Elastic, Circular ...
Archive for Rational Mechanics and Analysis (1984)
Roger Fosdick and G. P. MacSithigh
Link
Article
Helical Shear of an Elastic, Circular Tube with a Non-Convex ...
Archive for Rational Mechanics and Analysis (1983)
Roger Fosdick and G. P. MacSithigh
In 1949, in one of his pioneering studies on large elastic deformations, RIVLIN [1] applied the general theory of non-linear ...
Link
Article
Shearing Motions and the Formation of Shocks in an Elastic ...
Quarterly Journal of Mechanics & Applied Mathematics (1980)
Roger Fosdick and G. P. MacSithigh
Article
The Stability and Dissipation of Solutions for Shearing Flow of ...
Quarterly Journal of Mechanics & Applied Mathematics (1979)
P. K. Currie and G. P. MacSithigh
It is known that there is generally a multiplicity of solutions for simple shearing flow of nematic liquid crystals, according ...
Link
Article
Apparent Viscosity During Simple Shearing Flow of Nematic Liquid Crystals
Journal of Physics D: Applied Physics (1977)
G. P. MacSithigh and P. K. Currie
An experimentally useful relation for the dependence of the apparent viscosity on the shearing force is derived. Reasonable simplifying assumptions ...
Link