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Serge Preston
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Professor, Fariborz Maseeh Department of Mathematics and Statistics
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Ph.D. 1978 Steklov Institute of Mathematics (USSR)
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About Serge Preston
Ph.D. 1978 Steklov Institute of Mathematics (USSR)
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Portland State University
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Fariborz Maseeh Department of Mathematics and Statistics
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Mathematics
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Differential geometry
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Variational calculus
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Thermodynamics
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Articles
Contributions to Books
Articles
(19)
Article
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 ...
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Article
Supplementary Balance Laws for Cattaneo Heat Propagation
Mathematics and Statistics Faculty Publications and Presentations (2013)
Serge Preston
In this work we determine for the Cattaneo heat propagation system all the supplementary balance laws (conservation laws ) of ...
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Article
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 ...
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Article
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 ...
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Article
Balance Systems and the Variational Bicomplex
Symmetry, Integrability and Geometry: Methods and Applications (2011)
Serge Preston
In this work we show that the systems of balance equations (balance systems) of continuum thermodynamics occupy a natural place ...
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Article
Supplementary Balance Laws and the Entropy Principle
Mathematics and Statistics Faculty Publications and Presentations (2010)
Serge Preston
In this work we study the mathematical aspects of the development in the continuum thermodynamics known as the “Entropy Principle”. ...
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Article
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 ...
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Article
Variational Theory of Balance Systems
Mathematics and Statistics Faculty Publications and Presentations (2009)
Serge Preston
In this work we apply the Poincare-Cartan formalism of the Classical Field Theory to study the systems of balance equations ...
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Article
Multisymplectic Theory of Balance Systems, I
Mathematics and Statistics Faculty Publications and Presentations (2008)
Serge Preston
In this paper we are presenting the theory of balance equations of the Continuum Thermodynamics (balance systems) in a geometrical ...
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Article
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 ...
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Article
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 ...
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Article
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 ...
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Article
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 ...
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Article
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 ...
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Article
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 ...
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Article
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 ...
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Article
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 ...
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Article
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 ...
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Article
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 ...
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Contributions to Books
(2)
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 ...
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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 ...
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