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

Houlsby, Guy T./ Puzrin, Alexander M.

Springer（2010/10発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 280 p.
• 言語 ENG
• 商品コード 9781849965637
• DDC分類 551

Full Description

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.

Contents

Classical Elasticity and Plasticity.- Thermodynamics.- The Hyperplastic Formalism.- Elastic and Plastic Models in Hyperplasticity.- Advanced Plasticity Theories.- Multisurface Hyperplasticity.- Continuous Hyperplasticity.- Applications in Geomechanics: Elasticity and Small Strains.- Applications in Geomechanics: Plasticity and Friction.- Rate Effects.- Behaviour of Porous Continua.- Convex Analysis and Hyperplasticity.- Further Topics in Hyperplasticity.- Concluding Remarks.