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Author : Nima Salajegheh
Publisher :
Page : 260 pages
File Size : 10,15 MB
Release : 2004
Category : Continuum damage mechanics
ISBN :
Author : Dusan Krajcinovic
Publisher : Springer
Page : 298 pages
File Size : 49,59 MB
Release : 2014-05-04
Category : Science
ISBN : 3709128064
Author : Wohua Zhang
Publisher : Springer Science & Business Media
Page : 937 pages
File Size : 27,87 MB
Release : 2010-11-19
Category : Science
ISBN : 3642047084
"Continuum Damage Mechanics and Numerical Applications" presents a systematic development of the theory of Continuum Damage Mechanics and its numerical engineering applications using a unified form of the mathematical formulations in anisotropic and isotropic damage models. The theoretical framework is based on the thermodynamic theory of energy and material dissipation and is described by a set of fundamental formulations of constitutive equations of damaged materials, development equations of the damaged state, and evolution equations of micro-structures. According to concepts of damage-dissipation of the material state and effective evolution of material properties, all these advanced equations, which take nonsymmetrized effects of damage aspects into account, are developed and modified from the traditional general failure models so they are more easily applied and verified in a wide range of engineering practices by experimental testing. Dr. Wohua Zhang is a Professor at Engineering Mechanics Research Center in Zhejiang University of China. Dr. Yuanqiang Cai is a Professor at Department of Civil Engineering in Zhejiang University of China.
Author : Franco M. Capaldi
Publisher : Cambridge University Press
Page : 359 pages
File Size : 44,39 MB
Release : 2012-06-18
Category : Science
ISBN : 1139510576
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.
Author : Mehdi Ganjiani
Publisher : LAP Lambert Academic Publishing
Page : 160 pages
File Size : 18,14 MB
Release : 2012
Category :
ISBN : 9783659279515
Growing of damage as internal micro-defects in materials leads to degradation of mechanical properties up to the complete failure. Continuum Damage Mechanics is the most popular inelastic theory which is concerned with the effective continuum representation of a material including distributed micro-defects. The emphasis of this monograph is placed on the theoretical formulation and numerical implementation of the different constitutive models in the framework of continuum damage mechanics. To this end, several constitutive models are proposed for brittle and ductile solids.
Author : L. Kachanov
Publisher : Springer Science & Business Media
Page : 162 pages
File Size : 19,81 MB
Release : 2013-03-09
Category : Science
ISBN : 9401719578
Modern engineering materials subjected to unfavorable mechanical and environmental conditions decrease in strength due to the accumulation of microstructural changes. For example, considering damage in metals we can mention creep damage, ductile plastic damage, embrittlement of steels and fatigue damage. To properly estimate the value of damage when designing reliable structures it is necessary to formulate the damage phenomenon in terms of mechanics. Then it is possible to analyse various engineering problems using analytical and computational techniques. During the last two decades the basic principles of continuum damage mechanics were formulated and some special problems were solved. Many scientific papers were published and several conferences on damage mechanics took place. Now continuum damage mechanics is rapidly developing branch of fracture mechanics. This book is probably the first one on the subject; it contains a sys tematic description of the basic aspects of damage mechanics and some of its applications. In general, a theoretical description of damage can be rather compli cated. The experiments in this field are difficult (especially under multiax ial stress and non-proportional loading). Therefore, experimental data, as a rule, are scarce. Determination of functions and constants, which play a role in the complex variants of the theory, from available experimental data is often practically impossible. ix L.M. Kachanov The problems of damage mechanics are mainly engineering ones. Therefore, the author tries to avoid superfluous mathematical formalism. Some more details of the book's subject can be found in the list of con tents.
Author : Bernd Markert
Publisher : Springer Science & Business Media
Page : 231 pages
File Size : 11,2 MB
Release : 2011-07-15
Category : Science
ISBN : 3642227384
Modern computational techniques, such as the Finite Element Method, have, since their development several decades ago, successfully exploited continuum theories for numerous applications in science and technology. Although standard continuum methods based upon the Cauchy-Boltzmann continuum are still of great importance and are widely used, it increasingly appears that material properties stemming from microstructural phenomena have to be considered. This is particularly true for inhomogeneous load and deformation states, where lower-scale size effects begin to affect the macroscopic material response; something standard continuum theories fail to account for. Following this idea, it is evident that standard continuum mechanics has to be augmented to capture lower-scale structural and compositional phenomena, and to make this information accessible to macroscopic numerical simulations.
Author : Han-Chin Wu
Publisher : CRC Press
Page : 704 pages
File Size : 13,16 MB
Release : 2004-12-20
Category : Technology & Engineering
ISBN : 0203491998
Tremendous advances in computer technologies and methods have precipitated a great demand for refinements in the constitutive models of plasticity. Such refinements include the development of a model that would account for material anisotropy and produces results that compare well with experimental data. Key to developing such models-and to meeting
Author : James D Lee
Publisher : World Scientific
Page : 523 pages
File Size : 17,45 MB
Release : 2020-01-08
Category : Technology & Engineering
ISBN : 9811201501
This comprehensive volume presents a unified framework of continuum theories. It indicates that (i) microcontinuum theories (micromorphic and micropolar theories) are natural extension of classical continuum mechanics, and (ii) classical continuum mechanics is a special case of microcontinuum theories when the deformable material point is idealized as a single mathematical point. The kinematics and basic laws are rigorously derived. Based on axiomatic approach, constitutive theory is systematically derived for various kinds of materials, ranging from Stokesian fluid to thermo-visco-elastic-plastic solid. Material force and Thermomechanical-electromagnetic coupling are introduced and discussed. Moreover, general finite element methods for large-strain thermomechanical coupling physical phenomena are systematically formulated. Also, non-classical continuum theories (Nonlocal Theory, Mechanobiology, 4D printing, Poromechanics, and Non-Self-Similar Crack Propagation) are rigorously formulated with applications and demonstrated numerically.As an advanced monograph, this unique compendium can also be used as a textbook for several graduate courses, including continuum mechanics, finite element methods, and advanced engineering science theories. Extensive problems are provided to help students to better understand the topics covered.
Author : Eduardo WV Chaves
Publisher : Springer Science & Business Media
Page : 695 pages
File Size : 13,10 MB
Release : 2013-06-13
Category : Science
ISBN : 940075986X
This publication is aimed at students, teachers, and researchers of Continuum Mechanics and focused extensively on stating and developing Initial Boundary Value equations used to solve physical problems. With respect to notation, the tensorial, indicial and Voigt notations have been used indiscriminately. The book is divided into twelve chapters with the following topics: Tensors, Continuum Kinematics, Stress, The Objectivity of Tensors, The Fundamental Equations of Continuum Mechanics, An Introduction to Constitutive Equations, Linear Elasticity, Hyperelasticity, Plasticity (small and large deformations), Thermoelasticity (small and large deformations), Damage Mechanics (small and large deformations), and An Introduction to Fluids. Moreover, the text is supplemented with over 280 figures, over 100 solved problems, and 130 references.