SelectedWorks - Serge Preston

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Selected Works of Serge Preston

Professor, Fariborz Maseeh Department of Mathematics and Statistics

Ph.D. 1978 Steklov Institute of Mathematics (USSR)

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About Serge Preston

Ph.D. 1978 Steklov Institute of Mathematics (USSR)

Present	Professor, Portland State University ‐ Fariborz Maseeh Department of Mathematics and Statistics
Institution Organization Position Type Position Title Time Period to Options Current Position Affiliate my profile with this Institution

Differential geometry, Variational calculus, and Thermodynamics

Articles (19)

Continuously Defective Crystals with a Prescribed Defectiveness

International Journal Geometric Methods in Modern Physics (2014)

Marek Elźanowski and Serge Preston

We analyze some aspects of the kinematic theory of non-uniformly defective elastic crystals. Concentrating on the problem of identifying continuous ...

Supplementary Balance Laws for Cattaneo Heat Propagation

Mathematics and Statistics Faculty Publications and Presentations (2013)

In this work we determine for the Cattaneo heat propagation system all the supplementary balance laws (conservation laws ) of ...

On Continuously Defective Elastic Crystals

Miskolc Mathematical Notes (2013)

Marek Elźanowski and Serge Preston

We analyze mathematical underpinnings of Davini's theory of defective crystals when the defectiveness of a kinematic state may be material ...

Entropy Form and the Contact Geometry of the Material Point ...

International Journal of Geometric Methods in Modern Physics (2012)

Marina Dolfin, Mauro Francaviglia, Serge Preston and Liliana Restuccia

In this work we investigate a material point model (MP-model) and exploit the geometrical meaning of the "entropy form" introduced ...

Balance Systems and the Variational Bicomplex

Symmetry, Integrability and Geometry: Methods and Applications (2011)

In this work we show that the systems of balance equations (balance systems) of continuum thermodynamics occupy a natural place ...

Supplementary Balance Laws and the Entropy Principle

Mathematics and Statistics Faculty Publications and Presentations (2010)

In this work we study the mathematical aspects of the development in the continuum thermodynamics known as the “Entropy Principle”. ...

On the Integrability of Orthogonal Distributions in Poisson Manifolds

Balkan Journal of Geometry and Its Applications (2010)

Daniel Fish and Serge Preston

We study conditions for the integrability of the distribution defined on a regular Poisson manifold as the orthogonal complement (with ...

Variational Theory of Balance Systems

Mathematics and Statistics Faculty Publications and Presentations (2009)

In this work we apply the Poincare-Cartan formalism of the Classical Field Theory to study the systems of balance equations ...

Multisymplectic Theory of Balance Systems, I

Mathematics and Statistics Faculty Publications and Presentations (2008)

In this paper we are presenting the theory of balance equations of the Continuum Thermodynamics (balance systems) in a geometrical ...

The Indefinite Metric of R. Mrugala and the Geometry of ...

Atti dell’Accademia Peloritana dei Pericolanti Classe di Scienze Fisiche, Matematiche e Naturali (2008)

Serge Preston and James Vargo

We study an indefinite metric G which was introduced by R. Mrugala and is defined on the contact phase space ...

Uniform Materials and the Multiplicative Decomposition of the Deformation Gradient ...

Journal of Non-Equilibrium Thermodynamics (2008)

Vincenzo Ciancio, Marina Dolfin, Mauro Francaviglia and Serge Preston

In this work we analyze the relation between the multiplicative decomposition F = F e F p of the deformation ...

A Model of the Self-Driven Evolution of a Defective Continuum

Mathematics and Mechanics of Solids (2007)

Marek Elźanowski and Serge Preston

A model of the self-driven evolution law of a defective anelastic continuum is presented. Two-dimensional examples are discussed and the ...

4D Geometrical Modeling of A Material Aging

International Journal of Geometric Methods in Modern Physics (2006)

Alexander Chudnovsky and Serge Preston

The 4-dim intrinsic (material) Riemannian metric G of the material 4-D space-time continuum P is utilized as the characteristic of ...

Curvature of the Weinhold Metric for Thermodynamical Systems with 2 ...

Mathematics and Statistics Faculty Publications and Presentations (2005)

Manuel Santoro and Serge Preston

In this work the curvature of Weinhold (thermodynamical) metric is studied in the case of systems with two thermodynamical degrees ...

On the Geometrical Characteristics of Chaotic Dynamics, I

International Journal of Engineering Science (2003)

Serge Preston, I. Kunin, Y.E. Gliklikh and G. Chernykh

We introduce some geometrical structures in the phase space of a dynamical system, naturally defined by the system. We study ...

Configurational Mechanics of Necking Phenomena in Engineering Thermoplastics

Mechanics Research Communications (2002)

Alexander Chudnovsky and Serge Preston

Necking is a significant part of the yielding process in many thermoplastics. It starts as strain localization associated with microshear ...

Conformal Laplacian and Conical Singularities

Mathematics and Statistics Faculty Publications and Presentations (2002)

Boris Botvinnik and Serge Preston

We study a behavior of the conformal Laplacian operator $\L_g$ on a manifold with \emph{tame conical singularities}: when each singularity ...

Geometrical Modeling of Material Aging

Extracta Mathematicae (1996)

Alexander Chudnovsky and Serge Preston

Material aging is understood as changes of material properties with time. The aging is usually observed as an improvement of ...

On Non-Holonomic Second-Order Connections with Applications to Continua with Microstructure

Extracta Mathematicae (1996)

Marek Elźanowski and Serge Preston

Motivated by the theory of uniform elastic structures we try to determine the conditions for the local flatness of locally ...

Contribution to Book

Material Uniformity and the Concept of the Stress Space

Continuous Media with Microstructure (2010)

Serge Preston and Marek Elźanowski

The notion of the stress space, introduced by Schaefer, and further developed by Kröner in the context of materials free ...

Contribution to Book

Variational Formulation of a Material Ageing Model

Configurational Mechanics of Materials (2001)

Serge Preston and Alexander Chudnovsky

In several applications it is well recognized that all materials, on some scale, cannot be regarded as perfect continua. They ...