Finite Deformation Hyperelasto-plasticity of Geomaterials

Finite Deformation Hyperelasto-plasticity of Geomaterials PDF Author: Boris Jeremić
Publisher:
ISBN:
Category : Deformations (Mechanics)
Languages : en
Pages : 310

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Finite Deformation Hyperelasto-plasticity of Geomaterials

Finite Deformation Hyperelasto-plasticity of Geomaterials PDF Author: Boris Jeremić
Publisher:
ISBN:
Category : Deformations (Mechanics)
Languages : en
Pages : 310

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Plasticity

Plasticity PDF Author: S. Nemat-Nasser
Publisher: Cambridge University Press
ISBN: 9780521839792
Category : Mathematics
Languages : en
Pages : 858

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Finite Deformation of Particulate Geomaterials

Finite Deformation of Particulate Geomaterials PDF Author: William Michael Coombs
Publisher:
ISBN:
Category : Clay
Languages : en
Pages :

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This thesis is concerned with the theoretical development and numerical implementation of efficient constitutive models for the analysis of particulate media (specifically clays) in structures undergoing geometrically non-linear behaviour. The Mohr-Coulomb and modified Cam-clay constitutive models have both been examined and extended to provide greater realism. Findings from this thesis will interest engineers working in numerical methods in solid mechanics, along with those investigating continuum mechanics, inelastic constitutive modelling and large strain plasticity. Although focused on soil plasticity, this research has relevance to other areas, such as metal forming and bio-engineering. Initially the concepts of material and geometric non-linearity are reviewed. A general implicit backward Euler stress integration algorithm is detailed, including the derivation of the algorithmic consistent tangent. A framework for the analysis of anisotropic finite deformation elasto-plasticity is presented and a full incremental finite-element formulation provided. The first constitutive model developed in this thesis is a non-associated frictional perfect plasticity model based on a modified Reuleaux triangle. It is shown, through comparison with experimental data, that this model has advantages over the classical Mohr-Coulomb and Drucker-Prager models whilst still allowing for analytical implicit stress integration. An isotropic hyperplastic family of models which embraces the concept of a Critical State is then developed. This family is extended to include inelastic behaviour within the conventional yield surface and a Lode angle dependency on the anisotropic yield function which maintains convexity of both the surface and uniqueness of the Critical State cone. A calibration procedure is described and the integration and linearisation of the constitutive relations are detailed. All of the developed models are compared with established experimental data. Finally the models are verified for use within finite deformation finite-element analyses. The importance of deriving the algorithmic consistent tangent is demonstrated and the influence of varying levels of model sophistication assessed in terms of both global behaviour and simulation run-time.

Elastoplasticity Theory

Elastoplasticity Theory PDF Author: Vlado A. Lubarda
Publisher: CRC Press
ISBN: 1420040782
Category : Science
Languages : en
Pages : 665

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Book Description
Understanding the elastoplastic deformation of metals and geomaterials, including the constitutive description of the materials and analysis of structure undergoing plastic deformation, is an essential part of the background required by mechanical, civil, and geotechnical engineers as well as materials scientists. However, most books address the su

Advanced Numerical Applications and Plasticity in Geomechanics

Advanced Numerical Applications and Plasticity in Geomechanics PDF Author: Vaughan D. Griffiths
Publisher: Springer
ISBN: 3709125782
Category : Technology & Engineering
Languages : en
Pages : 337

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Book Description
Through the contributions of well-known scholars, this book provides an updated overview of some relevant developments and applications in this rapidly growing field. Topics include constitutive models for geomaterials, numerical analysis of ground improvement techniques and tunnelling problems.

Multiplicative Finite Strain Hyperelasto-plasticity

Multiplicative Finite Strain Hyperelasto-plasticity PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 45

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Plasticity and Geotechnics

Plasticity and Geotechnics PDF Author: Hai-Sui Yu
Publisher: Springer Science & Business Media
ISBN: 0387335994
Category : Science
Languages : en
Pages : 541

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Book Description
Plasticity and Geotechnics is the first attempt to summarize and present in a single volume the major achievements in the field of plasticity theory for geotechnical materials and its applications to geotechnical analysis and design. The book emerges from the author’s belief that there is an urgent need for the geotechnical and solid mechanics community to have a unified presentation of plasticity theory and its application to geotechnical engineering.

Introduction to Finite Strain Theory for Continuum Elasto-Plasticity

Introduction to Finite Strain Theory for Continuum Elasto-Plasticity PDF Author: Koichi Hashiguchi
Publisher: John Wiley & Sons
ISBN: 1118437721
Category : Science
Languages : en
Pages : 371

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Book Description
Comprehensive introduction to finite elastoplasticity, addressing various analytical and numerical analyses & including state-of-the-art theories Introduction to Finite Elastoplasticity presents introductory explanations that can be readily understood by readers with only a basic knowledge of elastoplasticity, showing physical backgrounds of concepts in detail and derivation processes of almost all equations. The authors address various analytical and numerical finite strain analyses, including new theories developed in recent years, and explain fundamentals including the push-forward and pull-back operations and the Lie derivatives of tensors. As a foundation to finite strain theory, the authors begin by addressing the advanced mathematical and physical properties of continuum mechanics. They progress to explain a finite elastoplastic constitutive model, discuss numerical issues on stress computation, implement the numerical algorithms for stress computation into large-deformation finite element analysis and illustrate several numerical examples of boundary-value problems. Programs for the stress computation of finite elastoplastic models explained in this book are included in an appendix, and the code can be downloaded from an accompanying website.

Pre-failure Deformation Characteristics of Geomaterials

Pre-failure Deformation Characteristics of Geomaterials PDF Author: Jamiolkowski
Publisher: CRC Press
ISBN: 9789058090775
Category : Deformations (Mechanics)
Languages : en
Pages : 496

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Book Description
The second of two volumes from the 1999 conference (v.1 was published in 1999) makes available the opening lecture on pre-failure behavior of soils as construction materials, as well as 24 contributions on various themes of the conference, laboratory tests, in situ tests, stress-strain behavior, applications and case histories. Some specific topics include time-dependent deformation characteristics of stiff geomaterials, boundary value problems in geotechnical engineering, and the effect of reinforcement due to choice of geogrid. There is no subject index. c. Book News Inc.

Foundations of Elastoplasticity: Subloading Surface Model

Foundations of Elastoplasticity: Subloading Surface Model PDF Author: Koichi Hashiguchi
Publisher: Springer Nature
ISBN: 3030931382
Category : Science
Languages : en
Pages : 850

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Book Description
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) 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.