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

Principles of Hyperplasticity is concerned with the theoretical modelling of the behaviour of solids which undergo nonlinear and irreversible deformation. The approach to plasticity theory developed here is firmly rooted in thermodynamics, so that the models developed are guaranteed to obey the Firs...

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Bibliographic Details
Main Authors: Houlsby, Guy T., Puzrin, Alexander M. (Author)
Format: eBook
Language:English
Published: London Springer London 2007, 2007
Edition:1st ed. 2007
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Principles of Hyperplasticity  |h Elektronische Ressource  |b An Approach to Plasticity Theory Based on Thermodynamic Principles  |c by Guy T. Houlsby, Alexander M. Puzrin 
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260 |a London  |b Springer London  |c 2007, 2007 
300 |a XXIV, 351 p. 68 illus  |b online resource 
505 0 |a 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 
653 |a Mechanics, Applied 
653 |a Heat engineering 
653 |a Geotechnical Engineering and Applied Earth Sciences 
653 |a Engineering geology 
653 |a Thermodynamics 
653 |a Heat transfer 
653 |a Geotechnical engineering 
653 |a Engineering Mechanics 
653 |a Solids 
653 |a Geoengineering 
653 |a Solid Mechanics 
653 |a Mass transfer 
653 |a Engineering Thermodynamics, Heat and Mass Transfer 
700 1 |a Puzrin, Alexander M.  |e [author] 
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520 |a Principles of Hyperplasticity is concerned with the theoretical modelling of the behaviour of solids which undergo nonlinear and irreversible deformation. The approach to plasticity theory developed here is firmly rooted in thermodynamics, so that the models developed are guaranteed to obey the First and Second Laws. Major emphasis is placed on the use of potentials, and the derivation of constitutive models for irreversible behaviour entirely from two scalar potentials is shown. It is to accentuate this feature that the authors use the term "hyperplasticity", by analogy with the use of "hyperelasticity" in elasticity theory. The use of potentials has several advantages. First it allows models to be very simply defined, classified and, if necessary, developed. Secondly, by employing Legendre Transformations, it permits dependent and independent variables to be interchanged, making possible different forms of the same model for different applications. Emphasis is also placed on the derivation of incremental response, which is necessary for numerical analysis. In the later parts of the book the theory is extended to include treatment of rate-dependent materials. A new and powerful concept, in which a single plastic strain is replaced by a plastic strain function, allowing smooth transitions between elastic and plastic behaviour is also introduced. Illustrated with many examples of models derived within this framework, and including material particularly relevant to the field of geomechanics, 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