Principles of Hyperplasticity: An Approach to Plasticity Theory

In this review the book Principles of Hyperplasticity presents a rigorous, thermodynamics-rooted framework for plasticity theory aimed at researchers and advanced graduate students. The single biggest reason to buy is its clear demonstration of deriving irreversible constitutive models from just two scalar potentials, which makes the mathematics compact and suitable for numerical implementation. Readers who need a principled, potential-based route to incremental response and constitutive formulation will find the treatment direct and practically useful for computational mechanics work.

Key Features

• Thermodynamic foundation: The text builds plasticity theory from thermodynamic principles so models respect energy and dissipation constraints.
• Potentials-based derivation: Constitutive models are derived entirely from two scalar potentials, simplifying model definition and classification.
• Incremental response focus: Emphasis on incremental relations provides the specific formulations needed for numerical analysis and finite element implementation.
• Rate-dependent extension: The theory is extended to include rate-dependent materials, offering paths to model viscous or time-sensitive behaviour.
• Plastic strain function concept: Replacing a single plastic strain with a plastic strain function allows smooth elastic-to-plastic transitions and more realistic response near yield.

Who It's For

This book is best for advanced students, researchers and practicing engineers in computational mechanics, geomechanics or materials modelling who require a rigorous, thermodynamically consistent basis for plasticity models. It is particularly useful for those implementing constitutive laws in software who need clear incremental formulations and potential-based model structure.

Those seeking an introductory textbook on basic plasticity or a broad survey without mathematical detail should look elsewhere; the material assumes familiarity with continuum mechanics and thermodynamics and focuses on formal derivations rather than elementary pedagogy.

Pros & Cons

Pros

• Provides a compact, principled route to constitutive models using two scalar potentials, which aids clarity and implementation.
• Careful derivation of incremental response makes the work practical for numerical analysts and finite element coders.
• Explicit treatment of rate dependence and the plastic strain function gives tools for modelling smooth transitions and time effects.

Cons

• The treatment is mathematically dense and best suited to readers already comfortable with thermodynamics and continuum mechanics.

Specifications

Our Verdict

Principles of Hyperplasticity is a focused, high-value reference for practitioners and researchers who need a thermodynamically consistent, potentials-based formulation of plasticity. Its clear derivations of incremental response and extensions for rate dependence make it particularly useful for numerical implementation, though the mathematical level means it is best suited to advanced readers.

Frequently Asked Questions

Does the book provide implementation guidance?
Yes; the emphasis on incremental response and potential-based formulations supplies the relations typically used in numerical implementation.

Is prior thermodynamics required?
The text assumes familiarity with continuum thermodynamics and mechanics; it is not an introductory treatment.

Does it cover time-dependent behaviour?
Yes; the theory is extended to include rate-dependent materials and offers concepts for smooth elastic-plastic transitions.