Principles of Hyperplasticity

Principles of Hyperplasticity

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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.An Approach to Plasticity Theory Based on Thermodynamic Principles Guy T. Houlsby, Alexander M. Puzrin. problems involving ... The issue of how small is small again arises, and again the answer depends on the problem. It is important to ... book, we shall employ the Cauchy stress ij (force per unit area) and the linear or Cauchy strain ij , as defined above. ... Unfortunately, in soil mechanics and geotechnical engineering, it is usual to adopt a compression positive convention. Only inanbsp;...

Title:Principles of Hyperplasticity
Author: Guy T. Houlsby, Alexander M. Puzrin
Publisher:Springer Science & Business Media - 2007-04-18

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