George Z. Voyiadjis's Books

Scalar Damage and Healing Mechanics

By: George Z. Voyiadjis,Peter I. Kattan

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Scalar Damage and Healing Mechanics

By: George Z. Voyiadjis,Peter I. Kattan

Scalar Damage and Healing Mechanics outlines the latest cutting-edge research in the field of scalar damage and healing mechanics, providing step-by-step insight on how to use scalar damage variables in various modeling scenarios. Additionally, the book discusses the latest advances in healing mechanics, covering the evolution of healing and damage, small damage and small healing, healing processes in series and in parallel, super healing, and the thermodynamics of damage and healing. Coupled systems, in which damage triggers self-healing as well as a decoupled system where healing occurs after damage is identified by external detection, are also discussed. Readers are additionally introduced to fundamental concepts such as effective stress, damage evolution, plane stress damage decomposition, and other damage processes that form the basis for a better understanding of the more advanced chapters. - Synthesizes the latest research in damage mechanics and the healing mechanics of materials, including thermodynamics, elasticity and plasticity - Includes practical exercises and problems for readers to work with before performing their own modeling scenarios - Covers various scalar damage variables and outlines different damage processes

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Page Count

374

Publisher

Elsevier

Published Date

ISBN 10

0128236175

ISBN 13

9780128236178

Gradient-Enhanced Continuum Plasticity

By: George Z. Voyiadjis,Yooseob Song

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Gradient-Enhanced Continuum Plasticity

By: George Z. Voyiadjis,Yooseob Song

Gradient-Enhanced Continuum Plasticity provides an expansive review of gradient-enhanced continuum plasticity from the initial stage to current research trends in experimental, theoretical, computational and numerical investigations. Starting with an overview of continuum mechanics and classical plasticity, the book then delves into concise lessons covering basic principles and applications, such as outlining the use of the finite element method to solve problems with size effects, mesh sensitivity and high velocity impact loading. All major theories are explored, providing readers with a guide to understanding the various concepts of and differences between an array of gradient-enhanced continuum plasticity models. - Outlines the concepts of, and differences between, various gradient-enhanced continuum plasticity models - Provides guidance on problem-solving for size effects, mesh-sensitivity tests and thermo-mechanical coupling - Reviews experimental, numerical and theoretical issues in gradient-enhanced continuum plasticity - Describes micromechanical aspects from experimental observations

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Page Count

405

Publisher

Elsevier

Published Date

ISBN 10

0128177675

ISBN 13

9780128177679

Elasto-Plastic and Damage Analysis of Plates and Shells

By: George Z Voyiadjis,Pawel Woelke

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Elasto-Plastic and Damage Analysis of Plates and Shells

By: George Z Voyiadjis,Pawel Woelke

Shells and plates are critical structures in numerous engineering applications. Analysis and design of these structures is of continuing interest to the scienti c and engineering communities. Accurate and conservative assessments of the maximum load carried by a structure, as well as the equilibrium path in both the elastic and inelastic range, are of paramount importance to the engineer. The elastic behavior of shells has been closely investigated, mostly by means of the nite element method. Inelastic analysis however, especially accounting for damage effects, has received much less attention from researchers. In this book, we present a computational model for nite element, elasto-plastic, and damage analysis of thin and thick shells. Formulation of the model proceeds in several stages. First, we develop a theory for thick spherical shells, providing a set of shell constitutive equations. These equations incorporate the effects of transverse shear deformation, initial curvature, and radial stresses. The proposed shell equations are conveniently used in nite element analysis. 0 AsimpleC quadrilateral, doubly curved shell element is developed. By means of a quasi-conforming technique, shear and membrane locking are prevented. The element stiffness matrix is given explicitly, making the formulation computationally ef cient. We represent the elasto-plastic behavior of thick shells and plates by means of the non-layered model, using an Updated Lagrangian method to describe a small-strain geometric non-linearity. For the treatment of material non-linearities, we adopt an Iliushin’s yield function expressed in terms of stress resultants, with isotropic and kinematic hardening rules.

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Page Count

213

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540793518

ISBN 13

9783540793519

The Coupled Theory of Mixtures in Geomechanics with Applications

By: George Z Voyiadjis,C.R. Song

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The Coupled Theory of Mixtures in Geomechanics with Applications

By: George Z Voyiadjis,C.R. Song

Geomaterials consist of a mixture of solid particles and void space that may be ?lled with ?uid and gas. The solid particles may be di?erent in sizes, shapes, and behavior; and the pore liquid may have various physical and chemical properties. Hence, physical, chemical or electrical interaction - tween the solid particles and pore ?uid or gas may take place. Therefore, the geomaterials in general must be considered a mixture or a multiphase material whose state is described by physical quantities in each phase. The stresses carried by the solid skeleton are typically termed “e?ective stress” while the stresses carried by the pore liquid are termed “pore pressure. ” The summation of the e?ective stress and pore pressure is termed “total stress” (Terzaghi, 1943). For a free drainage condition or completely undrained c- dition, the pore pressure change is zero or depends only on the initial stress condition; it does not depend on the skeleton response to external forces. Therefore, a single phase description of soil behavior is adequate. For an intermediate condition, however, some ?ow (pore pressure leak) may take place while the force is applied and the skeleton is under deformation. Due to the leak of pore pressure, the pore pressure changes with time, and the e?ective stress changes and the skeleton deforms with time accordingly. The solution of this intermediate condition, therefore, requires a multi-phase c- tinuum formulations that may address the interaction of solid skeleton and pore liquid interaction.

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Page Count

443

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540346600

ISBN 13

9783540346609

Mechanics of Composite Materials with MATLAB

By: George Z Voyiadjis,Peter I. Kattan

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Mechanics of Composite Materials with MATLAB

By: George Z Voyiadjis,Peter I. Kattan

This is a book for people who love mechanics of composite materials and ? MATLAB . We will use the popular computer package MATLAB as a matrix calculator for doing the numerical calculations needed in mechanics of c- posite materials. In particular, the steps of the mechanical calculations will be emphasized in this book. The reader will not ?nd ready-made MATLAB programs for use as black boxes. Instead step-by-step solutions of composite material mechanics problems are examined in detail using MATLAB. All the problems in the book assume linear elastic behavior in structural mechanics. The emphasis is not on mass computations or programming, but rather on learning the composite material mechanics computations and understanding of the underlying concepts. The basic aspects of the mechanics of ?ber-reinforced composite materials are covered in this book. This includes lamina analysis in both the local and global coordinate systems, laminate analysis, and failure theories of a lamina.

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Page Count

338

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540277102

ISBN 13

9783540277101

Advances in Damage Mechanics

Metals and Metal Matrix Composites

By: George Z. Voyiadjis,Peter Issa Kattan

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Advances in Damage Mechanics

Metals and Metal Matrix Composites

By: George Z. Voyiadjis,Peter Issa Kattan

This text presents advances in continuum damage mechanics for metals and metal matrix composites. Emphasis is placed on the theoretical formulation of the different constitutive models in this area, but sections are added to demonstrate the applications of the theory.

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Page Count

566

Publisher

Elsevier

Published Date

ISBN 10

0080436013

ISBN 13

9780080436012

Damage Mechanics

By: George Z. Voyiadjis,Peter I. Kattan

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Damage Mechanics

By: George Z. Voyiadjis,Peter I. Kattan

Before a structure or component can be completed, before any analytical model can be constructed, and even before the design can be formulated, you must have a fundamental understanding of damage behavior in order to produce a safe and effective design. Damage Mechanics presents the underlying principles of continuum damage mechanics along with the

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Page Count

275

Publisher

CRC Press

Published Date

ISBN 10

1420027832

ISBN 13

9781420027839

Book's by George Z. Voyiadjis

Scalar Damage and Healing Mechanics

Scalar Damage and Healing Mechanics

Gradient-Enhanced Continuum Plasticity

Gradient-Enhanced Continuum Plasticity

Elasto-Plastic and Damage Analysis of Plates and Shells

Elasto-Plastic and Damage Analysis of Plates and Shells

The Coupled Theory of Mixtures in Geomechanics with Applications

The Coupled Theory of Mixtures in Geomechanics with Applications

Mechanics of Composite Materials with MATLAB

Mechanics of Composite Materials with MATLAB

Advances in Damage Mechanics

Advances in Damage Mechanics

Damage Mechanics

Damage Mechanics

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