Koichi Hashiguchi

Foundations of Elastoplasticity: Subloading Surface Model (eBook, PDF)

• Format: PDF

Produktbeschreibung

This book is the standard text book for elastoplasticity which is explained comprehensively covering the rate-independent to -dependent finite deformations, soils, polymers, crystal plasticity, etc. and the friction phenomenon. Concise explanations on vector-tensor analysis and continuum mechanics are provided first, covering the underlying physical concepts, e.g. various time-derivatives, pull-back and push-forward operations, work-conjugacy and multiplicative decomposition of deformation gradient tensor. Then, the rigorous elastoplastic/viscoplastic models are explained comprehensively, which are based on the subloading surface model incorporating the crucially important variable "normal-yield ratio" in order to describe the continuous development of the plastic/viscoplastic strain rate with the approach to the yield stress but can never be described by the other plasticity models, e.g. the Chaboche-Ohno and the Dafalias-Yoshida models assuming the purely-elastic domain. The mainof them are as follows:

1) The subloading surface concept underling the cyclic plasticity is introduced, which insists that the plastic deformation develops as the stress approaches the yield surface. Thus, the smooth elastic-plastic transition leading to the continuous variation of the tangent stiffness modulus is described always.

2) The subloading-overstress model is formulated by which the elastoplastic deformation during the quasi-static loading and the viscoplastic deformation during the dynamic and impact loading can be described by the unified equation. Then, only this model can be used to describe the deformation in the general rate of deformation, disusing the elastoplastic constitutive equation.

3) The hyperelastic-based (visco)plasticity based on the multiplicative decomposition of deformation gradient tensor and the subloading surface model is formulated for the exact descriptions of the finite elastic and (visco)plastic deformations.

4) The subloading-friction model is formulated for the exact description of the dry and the fluid (lubricated) frictions at the general rate of sliding from the static to the impact sliding.

Thus, all the elastic and inelastic deformation/sliding phenomena of solids can be described accurately in the unified equation by the subloading-overstress model. The subloading surface model will be engraved as the governing law of irreversible deformation of solids in the history of solid mechanics.

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Produktdetails

• Verlag: Springer Nature Switzerland
• Seitenzahl: 853
• Erscheinungstermin: 12. Juni 2023
• Englisch
• ISBN-13: 9783030931384
• Artikelnr.: 68249342

Autorenporträt

Dr. Koichi Hashiguchi is currently a head of solids and structure solutions, Ltd. and an Emeritus Professor at Kyushu University. He is the author of over 300 peer-reviewed journal papers, fellows of the Japan Society of Mechanical Engineers and of Civil Engineers, an Honorary Member of the Japanese Geotechnical Society, and also a Member of the Engineering Academy of Japan. He has additionally authored 6 books and co-authored one book on elasto-plasticity/viscoplasticity for finite deformation.

Inhaltsangabe

Mathematical Preliminaries: Vector and Tensor Analysis.
 Description of Motion.
 Description of Tensor (Rate) in Convected Coordinate System.
 Deformation/Rotation Tensors.
 Stress Tensors and Conservation Laws.
 Objectivity and Objective (Rate) Tensors.
 Elastic Constitutive Equations.
 Elastoplastic Constitutive Equations.
 Unconventional Elastoplasticity Model: Subloading Surface model.
 Cyclic Plasticity Model: Critical Reviews and Assessments.
 Extended Subloading Surface Model.
 Constitutive Equations of Metals.
 Constitutive Equations of Soils.
 Subloading
overstress model.
 Subloading
Damage Model.
 Subloading Phase
transformation Model.
 Multiplicative Hyperelastic
based Plasticity with Subloading Surface Concept.
 Viscoelastic
viscoplastic Model of Polymers.
 Corotational Rate Tensors.
 Localization of Deformation.
 Hypoelastic
and Multiplicative Hyperelastic
based CrystalPlasticity.
 Constitutive Equation for Friction: Subloading
friction Model.

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Vector and Tensor Analysis.- Motion and Strain (Rate).- Stress Tensors and Conservation Laws.- Objectivity and Objective (Rate) Tensors.- Elastic Constitutive Equations.- Basic Formulations for Elastoplastic Constitutive Equations.- Unconventional Elastoplasticity Model: Hashiguchi (Subloading Surface) Model.- Cyclic Plasticity Model: Critical Reviews and Assessments.- Extended Subloading Surface Model.- Constitutive Equations of Metals.- Constitutive Equations of Soils.- Multiplicative Elastoplasticity: Subloading Finite Strain Theory.- Subloading-Overstress model.- Subloading-Damage Model.- Subloading-Phase transformation model.- Corotational Rate Tensor.- Localization of Deformation.- Constitutive Equation for Friction: Subloading-Friction Model.- Subloading-Crystal Plasticity.- Implicit Stress Integration: Return-Mapping and Consistent Tangent Modulus Tensor.- On Formulations fromThermodynamic View-Point.

Rezensionen

"The book covers an amazingly wide range of issues in elastoplasticity, and in continuum mechanics in general. It is written in modern notation and easily accessible to readers with a minimal background in continuum mechanics and tensor analysis. ... Altogether, the book gives an excellent introduction to the vast area of elastoplasticity and can be recommended not only for beginners in the field, but also for senior scientists interested in alternatives to the classical approach." (Dieter Weichert, Mathematical Reviews, October, 2019)