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Generalized Continua - From the Theory to Engineering Applications (2013)

Generalized Continua - from the Theory to Engineering Applications

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"Generalized Continua - from the Theory to Engineering Applications" by Holm Altenbach, Victor A. Eremeyev is a mathematics book and learning resource focused on Dynamics. Best for teachers, students, and readers looking for stronger mathematical understanding.

On the roots of continuum mechanics in differential geometry -- a review.- Cosserat media.- Cosserat-type shells.- Cosserat-type rods.- Micromorphic media.- Electromagnetism and generalized continua.- Computational methods for generalized continua. The need of generalized continua models is coming from practice. Complex material behavior sometimes cannot be presented by the classical Cauchy continua. At present the attention of the scientists in this field is focused on the most recent research items • new models, • application of well-known models to new problems, • micro-macro aspects, • computational effort, and • possibilities to identify the constitutive equations The new research directions are discussed in this volume - from the point of view of modeling and simulation, identification, and numerical methods.

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Best For: Researchers and engineers working in mechanical engineering, materials science, and applied mathematics.
Focus: Theoretical foundations and practical engineering applications of generalized continua in continuum mechanics.
Covers: Differential geometry foundations, Cosserat media, Cosserat-type shells and rods, micromorphic media, electromagnetism in generalized continua, and computational methods.
Why It Matters: Provides models that address complex material behaviors not captured by classical continuum theories, supporting advanced analysis and engineering design.

"Generalized Continua - from the Theory to Engineering Applications" by Holm Altenbach, Victor A. Eremeyev is a mathematics book and learning resource focused on Dynamics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Dynamics

Author: Holm Altenbach, Victor A. Eremeyev

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.

On the roots of continuum mechanics in differential geometry -- a review.- Cosserat media.- Cosserat-type shells.- Cosserat-type rods.- Micromorphic media.- Electromagnetism and generalized continua.- Computational methods for generalized continua. The need of generalized continua models is coming from practice. Complex material behavior sometimes cannot be presented by the classical Cauchy continua. At present the attention of the scientists in this field is focused on the most recent research items • new models, • application of well-known models to new problems, • micro-macro aspects, • computational effort, and • possibilities to identify the constitutive equations The new research directions are discussed in this volume - from the point of view of modeling and simulation, identification, and numerical methods.

AuthorHolm Altenbach, Victor A. Eremeyev
PublisherSpringer Science & Business Media
Published2012-10-18
ISBN-139783709113707
BindingHardcover
Pages403
LanguageEnglish
SubjectsTechnology & Engineering
TopicDynamics
SeriesCISM International Centre for Mechanical Sciences

Format: Hardcover

Length: 403 pages

Language: English

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