Foundations of Elastoplasticity: Subloading Surface Model

Koichi Hashiguchi (Autor)

Buch | Hardcover

XX, 853 Seiten

2023 | 4. Fourth Edition 2023
Springer International Publishing (Verlag)
978-3-030-93137-7 (ISBN)

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This book is the standard text book for elastoplasticity which is explained comprehensively covering the monotonic and cyclic loading behaviors, the rate-independent and rate-dependent deformation behaviors and the infinitesimal to finite deformation behaviors. Concise explanations on vector-tensor analysis and continuum mechanics are provided first as a foundation for elastoplasticity theory, covering the underlying physical concepts and mathematics, e.g. convective time-derivatives, pull-back and push-forward operations, objectivity, work-conjugacy and multiplicative decomposition. Then, the following theories/models are described almost of which have been proposed by the author and thus they are explained comprehensively.

1) The subloading surface concept underling the cyclic plasticity, which insists that the plastic deformation develops as the stress approaches the yield surface. Then, the smooth elastic-plastic transition leading to the continuous variation of the tangent stiffness modulus is described. This concept is inevitable to describe the cyclic loading behavior in a general stress amplitude.

2) The subloading-overstress model by which the viscoplastic strain rate is described accurately at the general rate of deformation from the static to the impact loading,

3) The multiplicative-subloading hyperelastic-based (visco)plasticity for the exact descriptions of the finite elastic and (visco)plastic deformations,

4) The constitutive equations for the damage, the phase-transformation, etc. and for metals, soils and polymers are described comprehensively.

5) The multiplicative-subloading hyperelastic-based crystal (visco)plasticity model for the exact description of the finite elastic and (visco)plastic deformations of crystalline solids,

6) The subloading-friction model 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.

This fourth edition is brushed up by adding a number of additional figures, explanations and computer programs, while the text and formulae have been revised and improved where necessary.

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.

Erscheinungsdatum	14.06.2023
Zusatzinfo	XX, 853 p. 551 illus., 179 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Mechanik
Themenwelt	Technik ► Maschinenbau
Schlagworte	constitutive equation • Constitutive equation of friction • Constitutive equations of metals and soils • Crystal plasticity • damage • Elasticity • Elastoplastic constitutive equation • Elastoplasticity Theory • Friction • metals • Plasticity • Polymer • soils • Viscoplastic constitutive equation • viscoplasticity
ISBN-10	3-030-93137-4 / 3030931374
ISBN-13	978-3-030-93137-7 / 9783030931377
Zustand	Neuware