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Advanced Continuum Theories And Finite Element Analyses

Author : James D Lee

Publisher : World Scientific

Page : 523 pages

File Size : 21,28 MB

Release : 2020-01-08

Category : Technology & Engineering

ISBN : 9811201501

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Book Description

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.



Size-Dependent Continuum Mechanics Approaches

Author : Esmaeal Ghavanloo

Publisher : Springer Nature

Page : 463 pages

File Size : 16,63 MB

Release : 2021-04-02

Category : Science

ISBN : 3030630501

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Book Description

This book offers a comprehensive and timely report of size-dependent continuum mechanics approaches. Written by scientists with worldwide reputation and established expertise, it covers the most recent findings, advanced theoretical developments and computational techniques, as well as a range of applications, in the field of nonlocal continuum mechanics. Chapters are concerned with lattice-based nonlocal models, Eringen’s nonlocal models, gradient theories of elasticity, strain- and stress-driven nonlocal models, and peridynamic theory, among other topics. This book provides researchers and practitioners with extensive and specialized information on cutting-edge theories and methods, innovative solutions to current problems and a timely insight into the behavior of some advanced materials and structures. It also offers a useful reference guide to senior undergraduate and graduate students in mechanical engineering, materials science, and applied physics.



The Finite Element Method for Solid and Structural Mechanics

Author : O. C. Zienkiewicz

Publisher : Elsevier

Page : 653 pages

File Size : 38,67 MB

Release : 2005-08-09

Category : Technology & Engineering

ISBN : 0080455581

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Book Description

This is the key text and reference for engineers, researchers and senior students dealing with the analysis and modelling of structures – from large civil engineering projects such as dams, to aircraft structures, through to small engineered components. Covering small and large deformation behaviour of solids and structures, it is an essential book for engineers and mathematicians. The new edition is a complete solids and structures text and reference in its own right and forms part of the world-renowned Finite Element Method series by Zienkiewicz and Taylor. New material in this edition includes separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage of plasticity (isotropic and anisotropic); node-to-surface and 'mortar' method treatments; problems involving solids and rigid and pseudo-rigid bodies; and multi-scale modelling. - Dedicated coverage of solid and structural mechanics by world-renowned authors, Zienkiewicz and Taylor - New material including separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage for small and finite deformation; elastic and inelastic material constitution; contact modelling; problems involving solids, rigid and discrete elements; and multi-scale modelling



Nonlinear Finite Elements for Continua and Structures

Author : Ted Belytschko

Publisher : John Wiley & Sons

Page : 834 pages

File Size : 28,61 MB

Release : 2014-01-07

Category : Science

ISBN : 1118632702

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Book Description

Nonlinear Finite Elements for Continua and Structures p>Nonlinear Finite Elements for Continua and Structures This updated and expanded edition of the bestselling textbook provides a comprehensive introduction to the methods and theory of nonlinear finite element analysis. New material provides a concise introduction to some of the cutting-edge methods that have evolved in recent years in the field of nonlinear finite element modeling, and includes the eXtended Finite Element Method (XFEM), multiresolution continuum theory for multiscale microstructures, and dislocation- density-based crystalline plasticity. Nonlinear Finite Elements for Continua and Structures, Second Edition focuses on the formulation and solution of discrete equations for various classes of problems that are of principal interest in applications to solid and structural mechanics. Topics covered include the discretization by finite elements of continua in one dimension and in multi-dimensions; the formulation of constitutive equations for nonlinear materials and large deformations; procedures for the solution of the discrete equations, including considerations of both numerical and multiscale physical instabilities; and the treatment of structural and contact-impact problems. Key features: Presents a detailed and rigorous treatment of nonlinear solid mechanics and how it can be implemented in finite element analysis Covers many of the material laws used in today’s software and research Introduces advanced topics in nonlinear finite element modelling of continua Introduction of multiresolution continuum theory and XFEM Accompanied by a website hosting a solution manual and MATLAB® and FORTRAN code Nonlinear Finite Elements for Continua and Structures, Second Edition is a must-have textbook for graduate students in mechanical engineering, civil engineering, applied mathematics, engineering mechanics, and materials science, and is also an excellent source of information for researchers and practitioners.



Gradient Smoothing Methods With Programming: Applications To Fluids And Landslides

Author : Gui-rong Liu

Publisher : World Scientific

Page : 288 pages

File Size : 43,38 MB

Release : 2023-12-27

Category : Technology & Engineering

ISBN : 9811280029

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Book Description

This unique compendium presents the Gradient Smoothing Methods (GSMs), as a general solver for linear and nonlinear PDEs (Partial Differential Equations) with a focus on fluids and flowing solids.The volume introduces the basic concepts and theories of the gradient smoothing technique used in the GSMs. Formulations for both Eulerian-GSM and Lagrangian-GSM are presented. The key ingredients of GSMs and its effectiveness in solving challenging fluid/solid flow problems with complex geometries are then discussed.Applications of GSM are highlighted, including compressible and incompressible flows, hydrodynamics with flexible free surface, and flowing solids with material strength and large deformation in geotechnical engineering, in particular, landslide simulations.In-house MATLAB codes are provided for both Eulerian and Lagrangian GSMs, along with detailed descriptions. More efficient FORTRAN source codes for solving complex engineering problems are also available on Github.



Multiscale Optimization And Materials Design

Author : Jun Yan

Publisher : World Scientific

Page : 264 pages

File Size : 32,40 MB

Release : 2020-12-29

Category : Technology & Engineering

ISBN : 981121655X

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Book Description

The book presents a set of novel, efficient and systematic concurrent multiscale optimization methods by considering the distribution of the material in macro-scale and the unit-cell configuration design in micro-scale simultaneously. Different from the traditional optimization method that is performed in a single scale, the proposed methods could generate a great deal of improvements in structural performance through the multiscale structure-material concurrent optimum design.The proposed theory and methods are related to statics, dynamics, thermoelastics and the coupling of different physical fields. Therefore, it provides a comprehensive designing scheme when multiple factors are taken into account. For example, the designing scheme can have a great significance on enhancing the structural performances under coupled multi-physical fields, such as load bearing capacity, vibration resistance ability, and safety under thermal stress and so on.Several numerical examples are highlighted in this unique volume based on practical engineering applications. The examples collectively demonstrate drastically improved designs featuring excellent unit-cell configuration and highly regular macroscale material distribution in a variety of industrial applications.



A Practical Guide To Opensees

Author : Quan Gu

Publisher : World Scientific

Page : 320 pages

File Size : 49,45 MB

Release : 2023-08-28

Category : Technology & Engineering

ISBN : 9811209162

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Book Description

The unique compendium teaches beginners how to perform nonlinear finite element (FE) analysis by following a series of step-by-step examples and basic programming method using OpenSees. The scope of the book includes nonlinear FE analyses of reinforced concrete frame shear wall structures, liquefiable soils, soil-structure interaction systems, fluid-solid coupling systems, high-speed railway systems, as well as introduces the sensitivity, reliability, optimization, peridynamic (PD) analysis, and the integration of OpenSees with other softwares. This must-have reference also teaches users how to program by adding simple material and element models, as well as PD algorithms in OpenSees.



The Elements of Continuum Biomechanics

Author : Marcelo Epstein

Publisher : John Wiley & Sons

Page : 387 pages

File Size : 22,50 MB

Release : 2012-08-13

Category : Science

ISBN : 1119999235

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Book Description

An appealing and engaging introduction to Continuum Mechanics in Biosciences This book presents the elements of Continuum Mechanics to people interested in applications to biological systems. It is divided into two parts, the first of which introduces the basic concepts within a strictly one-dimensional spatial context. This policy has been adopted so as to allow the newcomer to Continuum Mechanics to appreciate how the theory can be applied to important issues in Biomechanics from the very beginning. These include mechanical and thermodynamical balance, materials with fading memory and chemically reacting mixtures. In the second part of the book, the fully fledged three-dimensional theory is presented and applied to hyperelasticity of soft tissue, and to theories of remodeling, aging and growth. The book closes with a chapter devoted to Finite Element analysis. These and other topics are illustrated with case studies motivated by biomedical applications, such as vibration of air in the air canal, hyperthermia treatment of tumours, striated muscle memory, biphasic model of cartilage and adaptive elasticity of bone. The book offers a challenging and appealing introduction to Continuum Mechanics for students and researchers of biomechanics, and other engineering and scientific disciplines. Key features: Explains continuum mechanics using examples from biomechanics for a uniquely accessible introduction to the topic Moves from foundation topics, such as kinematics and balance laws, to more advanced areas such as theories of growth and the finite element method.. Transition from a one-dimensional approach to the general theory gives the book broad coverage, providing a clear introduction for beginners new to the topic, as well as an excellent foundation for those considering moving to more advanced application



Advanced Topics In Scattering Theory And Biomedical Engineering - Proceedings Of The 9th International Workshop On Mathematical Methods In Scattering Theory And Biomedical Engineering

Author : Dimitrios I Fotiadis

Publisher : World Scientific

Page : 438 pages

File Size : 12,33 MB

Release : 2010-08-26

Category : Medical

ISBN : 9814464236

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Book Description

This volume of proceedings consists of the papers presented during the 9th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering, held in Patras, Greece, on 9-11 October 2009.The book contains papers on scattering theory and biomedical engineering — two rapidly evolving fields which have a considerable impact on today's research. All the papers are state-of-the-art, have been carefully reviewed before publication and the authors are well-known in the scientific community. In addition, some papers focus more on applied mathematics, which provides a solid ground for development and innovative research in scattering and biomedical engineering.



Scientific and Technical Aerospace Reports

Author :

Publisher :

Page : 1460 pages

File Size : 29,69 MB

Release : 1991

Category : Aeronautics

ISBN :

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Book Description

Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.