|
Showing 1 - 5 of
5 matches in All Departments
This book is the standard text book of elastoplasticity in which
the elastoplasticity theory is comprehensively described from the
conventional theory for the monotonic loading to the unconventional
theory for the cyclic loading behavior. Explanations of
vector-tensor analysis and continuum mechanics are provided first
as a foundation for elastoplasticity theory, covering various
strain and stress measures and their rates with their
objectivities. Elastoplasticity has been highly developed by the
creation and formulation of the subloading surface model which is
the unified fundamental law for irreversible mechanical phenomena
in solids. The assumption that the interior of the yield surface is
an elastic domain is excluded in order to describe the plastic
strain rate due to the rate of stress inside the yield surface in
this model aiming at the prediction of cyclic loading behavior,
although the yield surface enclosing the elastic domain is assumed
in all the elastoplastic models other than the subloading surface
model. Then, the plastic strain rate develops continuously as the
stress approaches the yield surface, providing the advantages: 1)
The tangent modulus changes continuously, 2) The yield judgment
whether the stress reaches the yield surface is not required, 3)
The stress is automatically attracted to the yield surface even
when it goes out from the yield surface by large loading increments
in numerical calculation and 4) The finite strain theory based on
the multiplicative decomposition of deformation gradient tensor is
formulated exactly. Consequently, the monotonic, the cyclic, the
non-proportional loading behaviors for wide classes of materials
including soils, rocks and concretes in addition to metals can be
described rigorously by the subloading surface model. Further, the
viscoplastic constitutive equations in a general rate from the
quasi-static to the impact loadings are described, and constitutive
equations of friction behavior and its application to the
prediction of stick-slip phenomena, etc. are also described in
detail. In addition, the return-mapping algorithm, the consistent
tangent modulus, etc. are explained for the numerical analyses.
Further, the damage, the phase-transformation and the crystal
plasticity models are also described in brief. All of them are
based on the subloading surface model. The elastoplasticity
analysis will be advanced steadily based on the subloading surface
model.
This book was written to serve as the standard textbook of
elastoplasticity for students, engineers and researchers in the
field of applied mechanics. The present second edition is improved
thoroughly from the first edition by selecting the standard
theories from various formulations and models, which are required
to study the essentials of elastoplasticity steadily and
effectively and will remain universally in the history of
elastoplasticity. It opens with an explanation of vector-tensor
analysis and continuum mechanics as a foundation to study
elastoplasticity theory, extending over various strain and stress
tensors and their rates. Subsequently, constitutive equations of
elastoplastic and viscoplastic deformations for monotonic, cyclic
and non-proportional loading behavior in a general rate and their
applications to metals and soils are described in detail, and
constitutive equations of friction behavior between solids and its
application to the prediction of stick-slip phenomena are
delineated. In addition, the return-mapping algorithm, the
consistent tangent operators and the objective time-integration
algorithm of rate tensor are explained in order to enforce the FEM
analyses. All the derivation processes and formulations of
equations are described in detail without an abbreviation
throughout the book. The distinguishable features and importance of
this book is the comprehensive description of fundamental concepts
and formulations including the objectivity of tensor and
constitutive equations, the objective time-derivative of tensor
functions, the associated flow rule, the loading criterion, the
continuity and smoothness conditions and their substantial physical
interpretations in addition to the wide classes of
reversible/irreversible constitutive equations of solids and
friction behavior between solids.
Contents Recent advancements in the performance of industrial
products and structures are quite intense. Consequently, mechanical
design of high accuracy is necessary to enhance their mechanical
performance, strength and durability. The basis for their
mechanical design can be provided through elastoplastic deformation
analyses. For that reason, industrial engineers in the fields of
mechanical, civil, architec- ral, aerospace engineering, etc. must
learn pertinent knowledge relevant to elas- plasticity. Numerous
books about elastoplasticity have been published since "Mathema-
cal Theory of Plasticity," the notable book of R. Hill (1950), was
written in the middle of the last century. That and similar books
mainly address conventional plasticity models on the premise that
the interior of a yield surface is an elastic domain. However,
conventional plasticity models are applicable to the prediction of
monotonic loading behavior, but are inapplicable to prediction of
deformation behavior of machinery subjected to cyclic loading and
civil or architectural str- tures subjected to earthquakes.
Elastoplasticity has developed to predict defor- tion behavior
under cyclic loading and non-proportional loading and to describe
nonlocal, finite and rate-dependent deformation behavior.
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
Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity
empowers readers to fully understand the constitutive equation of
finite strain, an essential piece in assessing the
deformation/strength of materials and safety of structures. The
book starts by providing a foundational overview of continuum
mechanics, elasticity and plasticity, then segues into more
sophisticated topics such as multiplicative decomposition of
deformation gradient tensor with the isoclinic concept and the
underlying subloading surface concept. The subloading surface
concept insists that the plastic strain rate is not induced
suddenly at the moment when the stress reaches the yield surface
but it develops continuously as the stress approaches the yield
surface, which is crucially important for the precise description
of cyclic loading behavior. Then, the exact formulations of the
elastoplastic and viscoplastic constitutive equations based on the
multiplicative decomposition are expounded in great detail. The
book concludes with examples of these concepts and modeling
techniques being deployed in real-world applications. Table of
Contents: 1. Mathematical Basics 2. General (Curvilinear)
Coordinate System 3. Description of Deformation/Rotation in
Convected Coordinate System 4. Deformation/Rotation (Rate) Tensors
5. Conservation Laws and Stress Tensors 6. Hyperelastic Equations
7. Development of Elastoplastic Constitutive Equations 8.
Multiplicative Decomposition of Deformation Gradient Tensor 9.
Multiplicative Hyperelastic-based Plastic and Viscoplastic
Constitutive Equations 10. Friction Model: Finite Sliding Theory
|
You may like...
Barbie
Margot Robbie, Ryan Gosling
Blu-ray disc
R266
Discovery Miles 2 660
|