Constitutive Modeling of Engineering Materials

Constitutive Modeling of Engineering Materials
Author: Vladimir Buljak,Gianluca Ranzi
Publsiher: Academic Press
Total Pages: 328
Release: 2021-02-18
Genre: Science
ISBN: 9780128146972

Download Constitutive Modeling of Engineering Materials Book in PDF, Epub and Kindle

Constitutive Modeling of Engineering Materials provides an extensive theoretical overview of elastic, plastic, damage, and fracture models, giving readers the foundational knowledge needed to successfully apply them to and solve common engineering material problems. Particular attention is given to inverse analysis, parameter identification, and the numerical implementation of models with the finite element method. Application in practice is discussed in detail, showing examples of working computer programs for simple constitutive behaviors. Examples explore the important components of material modeling which form the building blocks of any complex constitutive behavior. Addresses complex behaviors in a wide range of materials, from polymers, to metals and shape memory alloys Covers constitutive models with both small and large deformations Provides detailed examples of computer implementations for material models

Constitutive Equations for Engineering Materials

Constitutive Equations for Engineering Materials
Author: Wai-Fah Chen,Atef F. Saleeb
Publsiher: Elsevier
Total Pages: 594
Release: 2013-10-22
Genre: Technology & Engineering
ISBN: 9781483101965

Download Constitutive Equations for Engineering Materials Book in PDF, Epub and Kindle

Constitutive Equations for Engineering Materials, Volume 1: Elasticity and Modeling, Revised Edition focuses on theories on elasticity and plasticity of engineering materials. The book first discusses vectors and tensors. Coordinate systems, vector algebra, scalar products, vector products, transformation of coordinates, indicial notation and summation convention, and triple products are then discussed. The text also ponders on analysis of stress and strain and presents numerical analysis. The book then discusses elastic stress-strain relations. Basic assumptions; need for elastic models; isotropic linear stress-strain relations; principle of virtual work; strain energy and complementary energy density in elastic solids; and incremental relations grounded on secant moduli are described. The text also explains linear elasticity and failure criteria for concrete and non-linear elasticity and hypoelastic models for concrete. The selection further tackles soil elasticity and failure criteria. Mechanical behavior of soils; failure criteria of soils; and incremental stress-strain models based on modification of the isotropic linear elastic formulation are considered. The text is a good source of data for readers interested in studying the elasticity and plasticity of engineering materials.

Constitutive Modelling of Granular Materials

Constitutive Modelling of Granular Materials
Author: Dimitrios Kolymbas
Publsiher: Springer Science & Business Media
Total Pages: 554
Release: 2012-12-06
Genre: Science
ISBN: 9783642570186

Download Constitutive Modelling of Granular Materials Book in PDF, Epub and Kindle

In view of its extreme complexity the mathematical description of the mechanical behaviour of granular materials is an extremely difficult task. Today many different models compete with each other. However, the complexity of the models hinders their comparison, and the potential users are confused and, often, disencouraged. This book is expected to serve as a milestone in the present situation, to evaluate the present methodes, to clear up the situation, to focus and encourage for further research activities.

Modelling of Engineering Materials

Modelling of Engineering Materials
Author: C. Lakshmana Rao,Abhijit P. Deshpande
Publsiher: John Wiley & Sons
Total Pages: 264
Release: 2014-07-02
Genre: Technology & Engineering
ISBN: 9781118919583

Download Modelling of Engineering Materials Book in PDF, Epub and Kindle

Modelling of Engineering Materials presents the background that is necessary to understand the mathematical models that govern the mechanical response of engineering materials. The book provides the basics of continuum mechanics and helps the reader to use them to understand the development of nonlinear material response of solids and fluids used in engineering applications. A brief review of simplistic and linear models used to characterize the mechanical response of materials is presented. This is followed by a description of models that characterize the nonlinear response of solids and fluids from first principles. Emphasis is given to popular models that characterize the nonlinear response of materials. The book also presents case studies of materials, where a comprehensive discussion of material characterization, experimental techniques and constitutive model development, is presented. Common principles that govern material response of both solids and fluids within a unified framework are outlined. Mechanical response in the presence of non-mechanical fields such as thermal and electrical fields applied to special materials such as shape memory materials and piezoelectric materials is also explained within the same framework.

Mechanical Constitutive Models for Engineering Materials

Mechanical Constitutive Models for Engineering Materials
Author: Behzad Rohani
Publsiher: Unknown
Total Pages: 181
Release: 1977
Genre: Elasticity
ISBN: UOM:39015095009265

Download Mechanical Constitutive Models for Engineering Materials Book in PDF, Epub and Kindle

Some of the basic mathematical tools and physical concepts necessary for development of mechanical constitutive relationships are reviewed and presented in orthogonal Cartesian coordinate system, using both indicial and matrix notations. Following this review, various classes of isotropic constitutive relationships are discussed and examined. The analyses are restricted to deformation for which displacement gradients are small. The constitutive relationships are classified and presented in the following categories: Constitutive equations of elastic materials, Incremental constitutive equations, Constitutive equations of simple viscoelastic materials, and Constitutive equations of plastic materials.

The Mechanics of Constitutive Modeling

The Mechanics of Constitutive Modeling
Author: Niels Saabye Ottosen,Matti Ristinmaa
Publsiher: Elsevier
Total Pages: 700
Release: 2005-09-28
Genre: Science
ISBN: 9780080525693

Download The Mechanics of Constitutive Modeling Book in PDF, Epub and Kindle

Constitutive modelling is the mathematical description of how materials respond to various loadings. This is the most intensely researched field within solid mechanics because of its complexity and the importance of accurate constitutive models for practical engineering problems. Topics covered include: Elasticity - Plasticity theory - Creep theory - The nonlinear finite element method - Solution of nonlinear equilibrium equations - Integration of elastoplastic constitutive equations - The thermodynamic framework for constitutive modelling – Thermoplasticity - Uniqueness and discontinuous bifurcations • More comprehensive in scope than competitive titles, with detailed discussion of thermodynamics and numerical methods. • Offers appropriate strategies for numerical solution, illustrated by discussion of specific models. • Demonstrates each topic in a complete and self-contained framework, with extensive referencing.

Constitutive Modeling of Engineering Materials

Constitutive Modeling of Engineering Materials
Author: Vladimir Buljak,Gianluca Ranzi
Publsiher: Academic Press
Total Pages: 328
Release: 2021-04-02
Genre: Science
ISBN: 9780128146965

Download Constitutive Modeling of Engineering Materials Book in PDF, Epub and Kindle

Constitutive Modeling of Engineering Materials provides an extensive theoretical overview of elastic, plastic, damage, and fracture models, giving readers the foundational knowledge needed to successfully apply them to and solve common engineering material problems. Particular attention is given to inverse analysis, parameter identification, and the numerical implementation of models with the finite element method. Application in practice is discussed in detail, showing examples of working computer programs for simple constitutive behaviors. Examples explore the important components of material modeling which form the building blocks of any complex constitutive behavior. . Addresses complex behaviors in a wide range of materials, from polymers, to metals and shape memory alloys . Covers constitutive models with both small and large deformations . Provides detailed examples of computer implementations for material models

Continuum Mechanics

Continuum Mechanics
Author: Franco M. Capaldi
Publsiher: Cambridge University Press
Total Pages: 135
Release: 2012-06-18
Genre: Science
ISBN: 9781139510578

Download Continuum Mechanics Book in PDF, Epub and Kindle

This is a modern textbook for courses in continuum mechanics. It provides both the theoretical framework and the numerical methods required to model the behaviour of continuous materials. This self-contained textbook is tailored for advanced undergraduate or first-year graduate students with numerous step-by-step derivations and worked-out examples. The author presents both the general continuum theory and the mathematics needed to apply it in practice. The derivation of constitutive models for ideal gases, fluids, solids and biological materials, and the numerical methods required to solve the resulting differential equations, are also detailed. Specifically, the text presents the theory and numerical implementation for the finite difference and the finite element methods in the Matlab® programming language. It includes thirteen detailed Matlab® programs illustrating how constitutive models are used in practice.

Shape Memory Alloys

Shape Memory Alloys
Author: Dimitris C. Lagoudas
Publsiher: Springer Science & Business Media
Total Pages: 436
Release: 2008-06-05
Genre: Technology & Engineering
ISBN: 9780387476858

Download Shape Memory Alloys Book in PDF, Epub and Kindle

This book provides a working knowledge of the modeling and engineering applications of shape memory alloys (SMAs), beginning with a rigorous introduction to continuum mechanics and continuum thermodynamics as they relate to the development of SMA modeling.Modern SMAs can recover from large amounts of bending and deformation, and millions of repetitions within recoverable ranges. SMAs are used in the medical industry to create stents, in the dental industry to create dental and orthodontic archwires, and in the aerospace industry to create fluid fittings. The text presents a unified approach to the constitutive modeling of SMAs, including modeling of magnetic and high temperature SMAs.

Alloys and Intermetallic Compounds

Alloys and Intermetallic Compounds
Author: Cristina Artini
Publsiher: CRC Press
Total Pages: 367
Release: 2017-07-12
Genre: Science
ISBN: 9781351647656

Download Alloys and Intermetallic Compounds Book in PDF, Epub and Kindle

This book focuses on the role of modeling in the design of alloys and intermetallic compounds. It includes an introduction to the most important and most used modeling techniques, such as CALPHAD and ab-initio methods, as well as a section devoted to the latest developments in applications of alloys. The book emphasizes the correlation between modeling and technological developments while discussing topics such as wettability of Ultra High Temperature Ceramics by metals, active brazing of diamonds to metals in cutting tools, surface issues in medicine, novel Fe-based superconductors, metallic glasses, high entropy alloys, and thermoelectric materials.

Constitutive Modeling of Geomaterials

Constitutive Modeling of Geomaterials
Author: Qiang Yang,Jian-Min Zhang,Hong Zheng,Yangping Yao
Publsiher: Springer Science & Business Media
Total Pages: 813
Release: 2012-08-22
Genre: Science
ISBN: 9783642328145

Download Constitutive Modeling of Geomaterials Book in PDF, Epub and Kindle

The Second International Symposium on Constitutive Modeling of Geomaterials: Advances and New Applications (IS-Model 2012), is to be held in Beijing, China, during October 15-16, 2012. The symposium is organized by Tsinghua University, the International Association for Computer Methods and Advances in Geomechanics (IACMAG), the Committee of Numerical and Physical Modeling of Rock Mass, Chinese Society for Rock Mechanics and Engineering, and the Committee of Constitutive Relations and Strength Theory, China Institution of Soil Mechanics and Geotechnical Engineering, China Civil Engineering Society. This Symposium follows the first successful International Workshop on Constitutive Modeling held in Hong Kong, which was organized by Prof. JH Yin in 2007. Constitutive modeling of geomaterials has been an active research area for a long period of time. Different approaches have been used in the development of various constitutive models. A number of models have been implemented in the numerical analyses of geotechnical structures. The objective of the symposium is to provide a forum for researchers and engineers working or interested in the area of constitutive modeling to meet together and share new ideas, achievements and experiences through presentations and discussions. Emphasis is placed on recent advances of constitutive modeling and its applications in both theoretic and experimental aspects. Six famous scholars have been invited for the plenary speeches of the symposiums. Some prominent scholars have been invited to organize four specialized workshops on hot topics, including “Time-dependent stress-strain behavior of geomaterials”, “Constitutive modeling within critical state soil mechanics”, “Multiscale and multiphysics in geomaterials”, and “Damage to failure in rock structures”. A total of 49 papers are included in the above topics. In addition, 51 papers are grouped under three topics covering “Behaviour of geomaterials”, “Constitutive model”, and “Applications”. The editors expect that the book can be helpful as a reference to all those in the field of constitutive modeling of geomaterials.

Constitutive Modeling of Geomaterials

Constitutive Modeling of Geomaterials
Author: Teruo Nakai
Publsiher: CRC Press
Total Pages: 374
Release: 2012-07-23
Genre: Technology & Engineering
ISBN: 9780203868843

Download Constitutive Modeling of Geomaterials Book in PDF, Epub and Kindle

Winner of the Japanese Geotechnical Society 2016 publication awardWritten by a veteran geotechnical engineer with a long record of research discoveries, Constitutive Modeling of Geomaterials: Principles and Applications presents a simple and unified approach to modeling various features of geomaterials in general stress systems. The book

Modeling High Temperature Materials Behavior for Structural Analysis

Modeling High Temperature Materials Behavior for Structural Analysis
Author: Konstantin Naumenko,Holm Altenbach
Publsiher: Springer
Total Pages: 371
Release: 2016-05-11
Genre: Science
ISBN: 9783319316291

Download Modeling High Temperature Materials Behavior for Structural Analysis Book in PDF, Epub and Kindle

This monograph presents approaches to characterize inelastic behavior of materials and structures at high temperature. Starting from experimental observations, it discusses basic features of inelastic phenomena including creep, plasticity, relaxation, low cycle and thermal fatigue. The authors formulate constitutive equations to describe the inelastic response for the given states of stress and microstructure. They introduce evolution equations to capture hardening, recovery, softening, ageing and damage processes. Principles of continuum mechanics and thermodynamics are presented to provide a framework for the modeling materials behavior with the aim of structural analysis of high-temperature engineering components.

Constitutive Modeling of Soils and Rocks

Constitutive Modeling of Soils and Rocks
Author: Pierre-Yves Hicher,Jian-Fu Shao
Publsiher: John Wiley & Sons
Total Pages: 448
Release: 2013-03-01
Genre: Technology & Engineering
ISBN: 9781118621493

Download Constitutive Modeling of Soils and Rocks Book in PDF, Epub and Kindle

This title provides a comprehensive overview of elastoplasticity relating to soil and rocks. Following a general outline of the models of behavior and their internal structure, each chapter develops a different area of this subject relating to the author's particular expertise. The first half of the book concentrates on the elastoplasticity of soft soils and rocks, while the second half examines that of hard soils and rocks.

Modeling of Creep for Structural Analysis

Modeling of Creep for Structural Analysis
Author: Konstantin Naumenko,Holm Altenbach
Publsiher: Springer Science & Business Media
Total Pages: 220
Release: 2007-04-06
Genre: Technology & Engineering
ISBN: 9783540708391

Download Modeling of Creep for Structural Analysis Book in PDF, Epub and Kindle

This book develops methods to simulate and analyze the time-dependent changes of stress and strain states in engineering structures up to the critical stage of creep rupture. The objective of this book is to review some of the classical and recently proposed approaches to the modeling of creep for structural analysis applications. It also aims to extend the collection of available solutions of creep problems by new, more sophisticated examples.