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Foundations of Elastoplasticity: Subloading Surface Model (Hardcover, 4th ed. 2023)
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Foundations of Elastoplasticity: Subloading Surface Model (Hardcover, 4th ed. 2023)
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This book is the standard text book for
elastoplasticity/viscoplasticity which is explained comprehensively
covering the rate-independent to -dependent finite deformations of
metals, 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 model, called the subloading surface
model, is explained comprehensively, which is based on the
subloading surface concept to describe the continuous development
of the plastic/viscoplastic strain rate as the stress approaches to
the yield surface, while it 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 features of the
subloading surface model are as follows: 1)Â Â 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)Â 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)Â 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)Â 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. Â
General
Imprint: |
Springer Nature Switzerland AG
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Country of origin: |
Switzerland |
Release date: |
June 2023 |
First published: |
2023 |
Authors: |
Koichi Hashiguchi
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Dimensions: |
235 x 155mm (L x W) |
Format: |
Hardcover
|
Pages: |
853 |
Edition: |
4th ed. 2023 |
ISBN-13: |
978-3-03-093137-7 |
Categories: |
Books
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LSN: |
3-03-093137-4 |
Barcode: |
9783030931377 |
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