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Strain Gradient Plasticity-Based Modeling of Damage and Fracture

2017-08-23 Science
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Release : 2017-08-23
Genre : Science
Kind : eBook
Book Rating : 848/5 ( reviews)

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Book Synopsis Strain Gradient Plasticity-Based Modeling of Damage and Fracture by : Emilio Martínez Pañeda

Download or read book Strain Gradient Plasticity-Based Modeling of Damage and Fracture written by Emilio Martínez Pañeda. This book was released on 2017-08-23. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to numerical modeling of size effects in metal plasticity. The main classes of strain gradient plasticity formulations are described and efficiently implemented in the context of the finite element method. A robust numerical framework is presented and employed to investigate the role of strain gradients on structural integrity assessment. The results obtained reveal the need of incorporating the influence on geometrically necessary dislocations in the modeling of various damage mechanisms. Large gradients of plastic strain increase dislocation density, promoting strain hardening and elevating crack tip stresses. This stress elevation is quantified under both infinitesimal and finite deformation theories, rationalizing the experimental observation of cleavage fracture in the presence of significant plastic flow. Gradient-enhanced modeling of crack growth resistance, hydrogen diffusion and environmentally assisted cracking highlighted the relevance of an appropriate characterization of the mechanical response at the small scales involved in crack tip deformation. Particularly promising predictions are attained in the field of hydrogen embrittlement. The research has been conducted at the Universities of Cambridge, Oviedo, Luxembourg, and the Technical University of Denmark, in a collaborative effort to understand, model and optimize the mechanical response of engineering materials.

The Variational Approach to Fracture

2008-04-19 Technology & Engineering
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Release : 2008-04-19
Genre : Technology & Engineering
Kind : eBook
Book Rating : 954/5 ( reviews)

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Book Synopsis The Variational Approach to Fracture by : Blaise Bourdin

Download or read book The Variational Approach to Fracture written by Blaise Bourdin. This book was released on 2008-04-19. Available in PDF, EPUB and Kindle. Book excerpt: Presenting original results from both theoretical and numerical viewpoints, this text offers a detailed discussion of the variational approach to brittle fracture. This approach views crack growth as the result of a competition between bulk and surface energy, treating crack evolution from its initiation all the way to the failure of a sample. The authors model crack initiation, crack path, and crack extension for arbitrary geometries and loads.

Mechanics of Strain Gradient Materials

2020-06-30 Science
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Release : 2020-06-30
Genre : Science
Kind : eBook
Book Rating : 309/5 ( reviews)

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Book Synopsis Mechanics of Strain Gradient Materials by : Albrecht Bertram

Download or read book Mechanics of Strain Gradient Materials written by Albrecht Bertram. This book was released on 2020-06-30. Available in PDF, EPUB and Kindle. Book excerpt: Over the past 50 years, strain gradient material theories have been developed for the continuum modeling of size effects in materials and structures in terms of their elasticity, plasticity and fracturing. This book puts forward a unifying perspective to combine existing theories involving the higher order gradient of the strain tensor, or of plastic strain. It begins by reviewing experimental findings on the existence (or non-existence) of size effects on the mechanics of materials. In turn, the book devises first, second and higher order strain gradient theories from general principles, and presents constitutive frameworks that satisfy thermodynamic requirements. The special case of strain gradient plasticity is then developed and illustrated via computational analyses of size effects on the plasticity of metals at small scales. In closing, the book explains the origin of gradient effects in the case of lattice structures by drawing on homogenization theory.

Crystal Plasticity Finite Element Methods

2011-08-04 Technology & Engineering
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Release : 2011-08-04
Genre : Technology & Engineering
Kind : eBook
Book Rating : 099/5 ( reviews)

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Book Synopsis Crystal Plasticity Finite Element Methods by : Franz Roters

Download or read book Crystal Plasticity Finite Element Methods written by Franz Roters. This book was released on 2011-08-04. Available in PDF, EPUB and Kindle. Book excerpt: Written by the leading experts in computational materials science, this handy reference concisely reviews the most important aspects of plasticity modeling: constitutive laws, phase transformations, texture methods, continuum approaches and damage mechanisms. As a result, it provides the knowledge needed to avoid failures in critical systems udner mechanical load. With its various application examples to micro- and macrostructure mechanics, this is an invaluable resource for mechanical engineers as well as for researchers wanting to improve on this method and extend its outreach.

Gradient-Enhanced Continuum Plasticity

2020-03-27 Technology & Engineering
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Release : 2020-03-27
Genre : Technology & Engineering
Kind : eBook
Book Rating : 675/5 ( reviews)

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Book Synopsis Gradient-Enhanced Continuum Plasticity by : George Z. Voyiadjis

Download or read book Gradient-Enhanced Continuum Plasticity written by George Z. Voyiadjis. This book was released on 2020-03-27. Available in PDF, EPUB and Kindle. Book excerpt: 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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