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Foundations of elastoplasticity = su...

Hashiguchi, Koichi.

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Foundations of elastoplasticity = subloading surface model /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Foundations of elastoplasticity/ by Koichi Hashiguchi.
Reminder of title:	subloading surface model /
Author:	Hashiguchi, Koichi.
Published:	Cham :Springer International Publishing : : 2023.,
Description:	xx, 853 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	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 Crystal Plasticity -- Constitutive Equation for Friction: Subloading-friction Model.
Contained By:	Springer Nature eBook
Subject:	Elastoplasticity. -
Online resource:	https://doi.org/10.1007/978-3-030-93138-4
ISBN:	9783030931384

Foundations of elastoplasticity = subloading surface model /
Hashiguchi, Koichi.

Foundations of elastoplasticitysubloading surface model /[electronic resource] :by Koichi Hashiguchi. - Fourth edition. - Cham :Springer International Publishing :2023. - xx, 853 p. :ill. (some col.), digital ;24 cm.

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 Crystal Plasticity -- Constitutive Equation for Friction: Subloading-friction Model.

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 main of 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.

ISBN: 9783030931384

Standard No.: 10.1007/978-3-030-93138-4doiSubjects--Topical Terms:

927982
Elastoplasticity.

LC Class. No.: TA418

Dewey Class. No.: 620.1123

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100 1 $a Hashiguchi, Koichi. $3 1005786
245 1 0 $a Foundations of elastoplasticity $h [electronic resource] : $b subloading surface model / $c by Koichi Hashiguchi.
250 $a Fourth edition.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2023.
300 $a xx, 853 p. : $b ill. (some col.), digital ; $c 24 cm.
505 0 $a 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 Crystal Plasticity -- Constitutive Equation for Friction: Subloading-friction Model.
520 $a 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 main of 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.
650 0 $a Elastoplasticity. $3 927982
650 1 4 $a Solid Mechanics. $3 3381524
650 2 4 $a Classical Mechanics. $3 3216970
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856 4 0 $u https://doi.org/10.1007/978-3-030-93138-4
950 $a Engineering (SpringerNature-11647)