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Principles of Hyperplasticity: An Approach to Plasticity Theory Based on Thermodynamic Principles

Principles of Hyperplasticity

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"Principles of Hyperplasticity" by Guy T. Houlsby, Alexander M. Puzrin is a physics book focused on Dynamics. Best for students, educators, and scientifically curious readers.

The approach to plasticity theory developed here is firmly rooted in thermodynamics. Emphasis is placed on the use of potentials and the derivation of incremental response, necessary for numerical analysis. The derivation of constitutive models for irreversible behaviour entirely from two scalar potentials is shown. The use of potentials allows models to be very simply defined, classified and, if necessary, developed and it permits dependent and independent variables to be interchanged, making possible different forms of a model for different applications. The theory is extended to include treatment of rate-dependent materials and a powerful concept, in which a single plastic strain is replaced by a plastic strain function, allowing smooth transitions between elastic and plastic behaviour is introduced. This monograph will benefit academic researchers in mechanics, civil engineering and geomechanics and practising geotechnical engineers; it will also interest numerical analysts in engineering mechanics.

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Best For: Students and professionals in physics and engineering focusing on material behavior under stress
Focus: Thermodynamic principles applied to plasticity theory using scalar potentials
Covers: Derivation of constitutive models for irreversible behavior and incremental response for numerical analysis
Why It Matters: Provides a thermodynamically consistent framework for modeling plastic deformation, facilitating clearer model definition and development

"Principles of Hyperplasticity" by Guy T. Houlsby, Alexander M. Puzrin is a physics book focused on Dynamics. Best for students, educators, and scientifically curious readers.

Topic: Dynamics

Author: Guy T. Houlsby, Alexander M. Puzrin

Who this is for:

  • Physics students
  • Science-minded readers
  • Readers building technical understanding

Why this book matters: It provides structured coverage of physics concepts in a way that supports deeper understanding and continued study.

The approach to plasticity theory developed here is firmly rooted in thermodynamics. Emphasis is placed on the use of potentials and the derivation of incremental response, necessary for numerical analysis. The derivation of constitutive models for irreversible behaviour entirely from two scalar potentials is shown. The use of potentials allows models to be very simply defined, classified and, if necessary, developed and it permits dependent and independent variables to be interchanged, making possible different forms of a model for different applications. The theory is extended to include treatment of rate-dependent materials and a powerful concept, in which a single plastic strain is replaced by a plastic strain function, allowing smooth transitions between elastic and plastic behaviour is introduced. This monograph will benefit academic researchers in mechanics, civil engineering and geomechanics and practising geotechnical engineers; it will also interest numerical analysts in engineering mechanics.

AuthorGuy T. Houlsby, Alexander M. Puzrin
PublisherSpringer
Published2010-10-13
ISBN-139781849965637
BindingPaperback
LanguageEnglish
SubjectsTechnology & Engineering
TopicDynamics

Format: Paperback

Language: English

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