Non Linear Mechanics Of Materials

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Non-Linear Mechanics of Materials

Author : Jacques Besson,Georges Cailletaud,Jean-Louis Chaboche,Samuel Forest
Publisher : Springer Science & Business Media
Page : 433 pages
File Size : 52,9 Mb
Release : 2009-11-25
Category : Science
ISBN : 9789048133567

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Non-Linear Mechanics of Materials by Jacques Besson,Georges Cailletaud,Jean-Louis Chaboche,Samuel Forest Pdf

In mechanical engineering and structural analysis there is a significant gap between the material models currently used by engineers for industry applications and those already available in research laboratories. This is especially apparent with the huge progress of computational possibilities and the corresponding dissemination of numerical tools in engineering practice, which essentially deliver linear solutions. Future improvements of design and life assessment methods necessarily involve non-linear solutions for inelastic responses, in plasticity or viscoplasticity, as well as damage and fracture analyses. The dissemination of knowledge can be improved by software developments, data base completion and generalization, but also by information and training. With such a perspective Non-Linear Mechanics of Materials proposes a knowledge actualization, in order to better understand and use recent material constitutive and damage modeling methods in the context of structural analysis or multiscale material microstructure computations.

Nonlinear Mechanics of Crystals

Author : John D. Clayton
Publisher : Springer Science & Business Media
Page : 709 pages
File Size : 52,8 Mb
Release : 2010-11-01
Category : Science
ISBN : 9789400703506

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Nonlinear Mechanics of Crystals by John D. Clayton Pdf

This book describes behavior of crystalline solids primarily via methods of modern continuum mechanics. Emphasis is given to geometrically nonlinear descriptions, i.e., finite deformations. Primary topics include anisotropic crystal elasticity, plasticity, and methods for representing effects of defects in the solid on the material's mechanical response. Defects include crystal dislocations, point defects, twins, voids or pores, and micro-cracks. Thermoelastic, dielectric, and piezoelectric behaviors are addressed. Traditional and higher-order gradient theories of mechanical behavior of crystalline solids are discussed. Differential-geometric representations of kinematics of finite deformations and lattice defect distributions are presented. Multi-scale modeling concepts are described in the context of elastic and plastic material behavior. Representative substances towards which modeling techniques may be applied are single- and poly- crystalline metals and alloys, ceramics, and minerals. This book is intended for use by scientists and engineers involved in advanced constitutive modeling of nonlinear mechanical behavior of solid crystalline materials. Knowledge of fundamentals of continuum mechanics and tensor calculus is a prerequisite for accessing much of the text. This book could be used as supplemental material for graduate courses on continuum mechanics, elasticity, plasticity, micromechanics, or dislocation mechanics, for students in various disciplines of engineering, materials science, applied mathematics, and condensed matter physics.

Linear and Non-linear Mechanical Behavior of Solid Materials

Author : Christian Lexcellent
Publisher : Springer
Page : 259 pages
File Size : 54,6 Mb
Release : 2017-05-23
Category : Science
ISBN : 9783319556093

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Linear and Non-linear Mechanical Behavior of Solid Materials by Christian Lexcellent Pdf

This book offers an essential introduction to the linear and non-linear behavior of solid materials, and to the concepts of deformation, displacement and stress, within the context of continuum mechanics and thermodynamics. To illustrate the fundamental principles, the book starts with an overview of solid mechanics, experimental methods, classes of material behaviors, and the thermodynamic modeling framework. It then explores linear elastic behavior, thermoelasticity, plasticity, viscoplasticity, fracture mechanics and damage behavior. The last part of the book is devoted to conventional and magnetic shape memory alloys, which may be used as actuators or sensors in adaptive structures. Given its range of coverage, the book will be especially valuable for students of engineering courses in Mechanics. Further, it includes a wealth of examples and exercises, making it accessible to the widest possible audience.

Nonlinear Mechanics for Composite Heterogeneous Structures

Author : Georgios A. Drosopoulos,Georgios E. Stavroulakis
Publisher : CRC Press
Page : 286 pages
File Size : 54,7 Mb
Release : 2022-04-26
Category : Science
ISBN : 9781000579079

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Nonlinear Mechanics for Composite Heterogeneous Structures by Georgios A. Drosopoulos,Georgios E. Stavroulakis Pdf

Nonlinear Mechanics for Composite Heterogeneous Structures applies both classical and multi-scale finite element analysis to the non-linear, failure response of composite structures. These traditional and modern computational approaches are holistically presented, providing insight into a range of non-linear structural analysis problems. The classical methods include geometric and material non-linearity, plasticity, damage and contact mechanics. The cutting-edge formulations include cohesive zone models, the Extended Finite Element Method (XFEM), multi-scale computational homogenization, localization of damage, neural networks and data-driven techniques. This presentation is simple but efficient, enabling the reader to understand, select and apply appropriate methods through programming code or commercial finite element software. The book is suitable for undergraduate studies as a final year textbook and for MSc and PhD studies in structural, mechanical, aerospace engineering and material science, among others. Professionals in these fields will also be strongly benefited. An accompanying website provides MATLAB codes for two-dimensional finite element problems with contact, multi-scale (FE2) and non-linear XFEM analysis, data-driven and machine learning simulations.

Nonlinear Solid Mechanics

Author : Gerhard A. Holzapfel
Publisher : Unknown
Page : 482 pages
File Size : 47,6 Mb
Release : 2000-04-06
Category : Mathematics
ISBN : STANFORD:36105028490071

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Nonlinear Solid Mechanics by Gerhard A. Holzapfel Pdf

Providing a modern and comprehensive coverage of continuum mechanics, this volume includes information on "variational principles"--Significant, as this is the only method by which such material is actually utilized in engineering practice.

Nonlinear Solid Mechanics

Author : Adnan Ibrahimbegovic
Publisher : Springer Science & Business Media
Page : 588 pages
File Size : 44,9 Mb
Release : 2009-06-02
Category : Computers
ISBN : 9789048123308

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Nonlinear Solid Mechanics by Adnan Ibrahimbegovic Pdf

This book offers a recipe for constructing the numerical models for representing the complex nonlinear behavior of structures and their components, represented as deformable solid bodies. Its appeal extends to those interested in linear problems of mechanics.

Nonlinear Mechanics of Complex Structures

Author : Holm Altenbach,Marco Amabili,Yuri V. Mikhlin
Publisher : Springer Nature
Page : 476 pages
File Size : 50,7 Mb
Release : 2021-07-29
Category : Science
ISBN : 9783030758905

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Nonlinear Mechanics of Complex Structures by Holm Altenbach,Marco Amabili,Yuri V. Mikhlin Pdf

This book covers different topics of nonlinear mechanics in complex structures, such as the appearance of new nonlinear phenomena and the behavior of finite-dimensional and distributed nonlinear systems, including numerous systems directly connected with important technological problems.

Nonlinear Solid Mechanics

Author : Davide Bigoni
Publisher : Cambridge University Press
Page : 549 pages
File Size : 47,5 Mb
Release : 2012-07-30
Category : Mathematics
ISBN : 9781107025417

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Nonlinear Solid Mechanics by Davide Bigoni Pdf

Addresses behaviour of materials under extreme mechanical conditions and of failure in terms of non-linear continuum mechanics and instability theory.

Nonlinear Continuum Mechanics for Finite Element Analysis

Author : Javier Bonet,Richard D. Wood
Publisher : Cambridge University Press
Page : 349 pages
File Size : 48,7 Mb
Release : 2008-03-13
Category : Science
ISBN : 9781139467544

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Nonlinear Continuum Mechanics for Finite Element Analysis by Javier Bonet,Richard D. Wood Pdf

Designing engineering components that make optimal use of materials requires consideration of the nonlinear characteristics associated with both manufacturing and working environments. The modeling of these characteristics can only be done through numerical formulation and simulation, and this requires an understanding of both the theoretical background and associated computer solution techniques. By presenting both nonlinear continuum analysis and associated finite element techniques under one roof, Bonet and Wood provide, in this edition of this successful text, a complete, clear, and unified treatment of these important subjects. New chapters dealing with hyperelastic plastic behavior are included, and the authors have thoroughly updated the FLagSHyP program, freely accessible at www.flagshyp.com. Worked examples and exercises complete each chapter, making the text an essential resource for postgraduates studying nonlinear continuum mechanics. It is also ideal for those in industry requiring an appreciation of the way in which their computer simulation programs work.

Nonlinear Structural Mechanics

Author : Walter Lacarbonara
Publisher : Springer Science & Business Media
Page : 812 pages
File Size : 50,5 Mb
Release : 2013-01-09
Category : Science
ISBN : 9781441912763

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Nonlinear Structural Mechanics by Walter Lacarbonara Pdf

This book reviews the theoretical framework of nonlinear mechanics, covering computational methods, applications, parametric investigations of nonlinear phenomena and mechanical interpretation towards design. Builds skills via increasing levels of complexity.

The Non-Linear Field Theories of Mechanics

Author : C. Truesdell,Walter Noll
Publisher : Springer Science & Business Media
Page : 629 pages
File Size : 41,9 Mb
Release : 2013-03-09
Category : Science
ISBN : 9783662103883

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The Non-Linear Field Theories of Mechanics by C. Truesdell,Walter Noll Pdf

This third edition includes the corrections made by the late C. Truesdell in his personal copy. It is annotated by S. Antman who describes the monograph`s genesis and the impact it has made on the modern development of mechanics. Originally published as Volume III/3 of the famous Encyclopedia of Physics in 1965, this book describes and summarizes "everything that was both known and worth knowing in the field at the time." It also has greatly contributed to the unification and standardization of the concepts, terms and notations in the field.

Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity

Author : Koichi Hashiguchi
Publisher : Elsevier
Page : 420 pages
File Size : 42,5 Mb
Release : 2020-06-19
Category : Technology & Engineering
ISBN : 9780128194294

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Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity by Koichi Hashiguchi Pdf

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 Covers both the fundamentals of continuum mechanics and elastoplasticity while also introducing readers to more advanced topics such as the subloading surface model and the multiplicative decomposition among others Approaches finite elastoplasticity and viscoplasticty theory based on multiplicative decomposition and the subloading surface model Provides a thorough introduction to the general tensor formulation details for the embedded curvilinear coordinate system and the multiplicative decomposition of the deformation gradient

Nonlinear Computational Solid Mechanics

Author : Jamshid Ghaboussi,David A. Pecknold,Xiping Steven Wu
Publisher : CRC Press
Page : 397 pages
File Size : 50,7 Mb
Release : 2017-07-06
Category : Mathematics
ISBN : 9781498746137

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Nonlinear Computational Solid Mechanics by Jamshid Ghaboussi,David A. Pecknold,Xiping Steven Wu Pdf

This book presents the fundamentals of nonlinear mechanics within a modern computational approach based mainly on finite element methods. Both material and geometric nonlinearities are treated. The topics build up from the mechanics of finite deformation of solid bodies through to nonlinear structural behaviour including buckling, bifurcation and snap-through. The principles are illustrated with a series of solved problems. This book serves as a text book for a second year graduate course and as a reference for practitioners using nonlinear analysis in engineering and design.

Non-Linear Mechanics of Reinforced Concrete

Author : K. Maekawa,H. Okamura,A. Pimanmas
Publisher : CRC Press
Page : 768 pages
File Size : 43,7 Mb
Release : 2003-09-02
Category : Architecture
ISBN : 9780203302880

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Non-Linear Mechanics of Reinforced Concrete by K. Maekawa,H. Okamura,A. Pimanmas Pdf

This book describes the application of nonlinear static and dynamic analysis for the design, maintenance and seismic strengthening of reinforced concrete structures. The latest structural and RC constitutive modelling techniques are described in detail, with particular attention given to multi-dimensional cracking and damage assessment, and their practical applications for performance-based design. Other subjects covered include 2D/3D analysis techniques, bond and tension stiffness, shear transfer, compression and confinement. It can be used in conjunction with WCOMD and COM3 software Nonlinear Mechanics of Reinforced Concrete presents a practical methodology for structural engineers, graduate students and researchers concerned with the design and maintenance of concrete structures.

Linear and Non-linear Continuum Solid Mechanics

Author : Santiago Hernández,Arturo N. Fontan
Publisher : WIT Press
Page : 206 pages
File Size : 43,6 Mb
Release : 2021-06-28
Category : Science
ISBN : 9781784662714

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Linear and Non-linear Continuum Solid Mechanics by Santiago Hernández,Arturo N. Fontan Pdf

Deformable solids, that is to say, those which undergo changes in geometry when subjected to external loads or other types of solicitations, as well as other related topics are the focus of this book. Within the main field, this text deals with advanced linear elasticity and plasticity approaches and the behavioural study of more complex types of materials. This includes composites of more recent manufacture and others whose material characterisation has only recently been possible. It also describes how linear elastic behaviour extends to anisotropic materials in general and how deformations can result in small or large strain components. The information on plastic behaviour expands to include strain hardening of the materials. Amongst other new topics incorporated into this volume are studies of hyperelastic materials, which can represent elastomeric and some types of biological materials. A section of the book deals with viscoelastic materials, i.e. those who deform when subjected to long-term loads. The behaviour of viscoplasticity, as well as elasto-viscoplasticity, describes well other types of materials, including those present in many geotechnical sites. The objective of this volume is to present material that can be used for teaching continuum mechanics to students of mechanical, civil or aeronautical engineering. In order to understand the contents the reader only needs to know linear algebra and differential calculus. Examples have been included throughout the text and at the end of each chapter, exercises are presented which can be used to check on comprehension of the theoretical information presented.