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Continuum Thermomechanics (2005)

Continuum Thermomechanics

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"Continuum Thermomechanics" by Alfredo Bermúdez de Castro is a mathematics book and learning resource focused on Thermal Effects. Best for teachers, students, and readers looking for stronger mathematical understanding.

The general goal of this book is to deduce rigorously, from the first principles, the partial differential equations governing the thermodynamic processes undergone by continuum media under forces and heat. Solids and fluids are considered in a unified framework. Reacting mixtures of fluids are also included for which general notions of thermodynamics are recalled, such as the Gibbs equilibrium theory. Linear approximate models are mathematically obtained by calculating the derivatives of the constitutive response functions. They include the classical models for linear vibrations of thermoelastic solids and also for wave propagation in fluids (dissipative and non-dissipative acoustics and internal gravity waves).

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Best For: Students and researchers in environmental physics and continuum mechanics
Focus: Deriving partial differential equations for thermodynamic processes in continuum media
Covers: Thermodynamics of solids and fluids, reacting fluid mixtures, Gibbs equilibrium theory, and linear approximate models
Why It Matters: Provides a rigorous mathematical foundation for understanding thermodynamic behavior in continuous media under forces and heat

"Continuum Thermomechanics" by Alfredo Bermúdez de Castro is a mathematics book and learning resource focused on Thermal Effects. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Thermal Effects

Author: Alfredo Bermúdez de Castro

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

The general goal of this book is to deduce rigorously, from the first principles, the partial differential equations governing the thermodynamic processes undergone by continuum media under forces and heat. Solids and fluids are considered in a unified framework. Reacting mixtures of fluids are also included for which general notions of thermodynamics are recalled, such as the Gibbs equilibrium theory. Linear approximate models are mathematically obtained by calculating the derivatives of the constitutive response functions. They include the classical models for linear vibrations of thermoelastic solids and also for wave propagation in fluids (dissipative and non-dissipative acoustics and internal gravity waves).

AuthorAlfredo Bermúdez de Castro
PublisherSpringer Science & Business Media
Published2005-06-16
ISBN-139783764372651
BindingHardcover
Pages232
LanguageEnglish
SubjectsScience
TopicThermal Effects
SeriesProgress in Mathematical Physics

Format: Hardcover

Length: 232 pages

Language: English

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