SelectedWorks - G MacSithigh

Contact

Selected Works of G MacSithigh

Emeritus

Works
About

×

About G MacSithigh

Present	Emeritus, Missouri University of Science and Technology ‐ Mechanical and Aerospace Engineering
Institution Organization Position Type Position Title Time Period to Options Current Position Affiliate my profile with this Institution

Aerospace Engineering and Mechanical Engineering

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 ...

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 ...

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 ...

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

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 ...

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 ...

Discussion: Swerve During Three-Dimensional Impact of Rough Rigid Bodies

Journal of Applied Mechanics (1995)

G. P. Macsithigh

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 ...

Plane Motions of Elastic Pseudo-Rigid Bodies: An Example

Journal of Elasticity (1993)

H. Cohen and G. P. MacSithigh

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 ...

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 ...

Mathematical Elasticity Volume One: Three-Dimensional Elasticity

SIAM Review (1992)

G. P. MacSithigh

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 ...

Minimization in Nonlinear Elasticity Theory for Bodies Reinforced with Inextensible ...

Journal of Elasticity (1991)

Roger Fosdick and G. P. MacSithigh

Plane Motions of Elastic Pseudo-Rigid Bodies

Journal of Elasticity (1989)

H. Cohen and G. P. MacSithigh

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

Minimization in Incompressible Nonlinear Elasticity Theory

Journal of Elasticity (1986)

Roger Fosdick and G. P. MacSithigh

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. ...

Errata in Our Paper "Helical Shear of an Elastic, Circular ...

Archive for Rational Mechanics and Analysis (1984)

Roger Fosdick and G. P. MacSithigh

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 ...

Shearing Motions and the Formation of Shocks in an Elastic ...

Quarterly Journal of Mechanics & Applied Mathematics (1980)

Roger Fosdick and G. P. MacSithigh

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 ...

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 ...