A Geometric Approach to Thermomechanics of Dissipating Continua - Progress in Mathematical Physics Vol 31

Rakotomanana, L. R.

ISBN 10: 0817642838 / ISBN 13: 9780817642839

Edité par Birkhauser, Secaucus, New Jersey, U.S.A., 2004

A propos de cet article

261 Pages Indexed. Blue glossy laminated boards. No defects noted. Interior text is faultless. This monograph focuses on the modeling of continua that exhibit the property of singularities in fields. A rational theory of continuum thermomechanics that takes into account the existence and distribution of scalar and vector discontinuities is presented. Guiding the work is the notion that discontinuities should be modeled by the torsion and curvature tensors (Cartan), thus forming an attractive alternative way of representing dissipating continua with singularities. Also emphasized in this study is the relationship between singularities and certain irreversible properties that occur in solid and fluid models. The required mathematical background is given in several appendices, although some basic understanding of differential geometry and tensor analysis would be helpful. The book is largely self-contained and should serve a readership of graduate students, researchers, and engineers in applied mathematics, mechanics, and physics.

N° de réf. du vendeur 13337

Détails bibliographiques

• Titre: A Geometric Approach to Thermomechanics of Dissipating Continua - Progress in Mathematical Physics Vol 31
• Éditeur: Birkhauser, Secaucus, New Jersey, U.S.A.
• Date de parution: 2004
• Langue: anglais
• ISBN à 10 chiffres: 0817642838
• ISBN à 13 chiffres: 9780817642839
• Reliure: Hard Back
• Édition: First Printing
• État de l'article: Very Good
• État de la jaquette: No Dust Jacket As Published

A propos de ce titre

Synopsis

This monograph focuses on the modeling of continua that exhibit the property of singularities in fields. A rational theory of continuum thermomechanics that takes into account the existence and distribution of scalar and vector discontinuities is presented. The required mathematical background is given; basic understanding of differential geometry and tensor analysis is helpful. Largely self-contained work should serve a readership of graduate students, researchers, and engineers in applied mathematics, mechanics, and physics.

Présentation de l'éditeur

This monograph focuses on the modeling of continua that exhibit the property of singularities in fields. A rational theory of continuum thermomechanics that takes into account the existence and distribution of scalar and vector discontinuities is presented. Guiding the work is the notion that discontinuities should be modeled by the torsion and curvature tensors (Cartan), thus forming an attractive alternative way of representing dissipating continua with singularities. Also emphasized in this study is the relationship between singularities and certain irreversible properties that occur in solid and fluid models. The required mathematical background is given in several appendices, although some basic understanding of differential geometry and tensor analysis would be helpful. The book is largely self-contained and should serve a readership of graduate students, researchers, and engineers in applied mathematics, mechanics, and physics.