Mechanics Of Periodically Heterogeneous Structures
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Mechanics Of Periodically Heterogeneous Structures
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Author : L.I. Manevitch
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Mechanics Of Periodically Heterogeneous Structures written by L.I. Manevitch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Technology & Engineering categories.
Rigorous presentation of Mathematical Homogenization Theory is the subject of numerous publications. This book, however, is intended to fill the gap in the analytical and numerical performance of the corresponding asymptotic analysis of the static and dynamic behaviors of heterogenous systems. Numerous concrete applications to composite media, heterogeneous plates and shells are considered. A lot of details, numerical results for cell problem solutions, calculations of high-order terms of asymptotic expansions, boundary layer analysis etc., are included.
Nonlinear Mechanics For Composite Heterogeneous Structures
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Author : Georgios A. Drosopoulos
language : en
Publisher: CRC Press
Release Date : 2022-04-26
Nonlinear Mechanics For Composite Heterogeneous Structures written by Georgios A. Drosopoulos and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-26 with Technology & Engineering categories.
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.
Micromechanics Of Heterogeneous Materials
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Author : Valeriy Buryachenko
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-09-20
Micromechanics Of Heterogeneous Materials written by Valeriy Buryachenko and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-20 with Science categories.
Here is an accurate and timely account of micromechanics, which spans materials science, mechanical engineering, applied mathematics, technical physics, geophysics, and biology. The book features rigorous and unified theoretical methods of applied mathematics and statistical physics in the material science of microheterogeneous media. Uniquely, it offers a useful demonstration of the systematic and fundamental research of the microstructure of the wide class of heterogeneous materials of natural and synthetic nature.
Topology Optimization Design Of Heterogeneous Materials And Structures
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Author : Daicong Da
language : en
Publisher: John Wiley & Sons
Release Date : 2020-02-26
Topology Optimization Design Of Heterogeneous Materials And Structures written by Daicong Da and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-26 with Mathematics categories.
This book pursues optimal design from the perspective of mechanical properties and resistance to failure caused by cracks and fatigue. The book abandons the scale separation hypothesis and takes up phase-field modeling, which is at the cutting edge of research and is of high industrial and practical relevance. Part 1 starts by testing the limits of the homogenization-based approach when the size of the representative volume element is non-negligible compared to the structure. The book then introduces a non-local homogenization scheme to take into account the strain gradient effects. Using a phase field method, Part 2 offers three significant contributions concerning optimal placement of the inclusion phases. Respectively, these contributions take into account fractures in quasi-brittle materials, interface cracks and periodic composites. The topology optimization proposed has significantly increased the fracture resistance of the composites studied.
Modeling Of Creep For Structural Analysis
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Author : Konstantin Naumenko
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-04-06
Modeling Of Creep For Structural Analysis written by Konstantin Naumenko and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-06 with Technology & Engineering categories.
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.
Materials With Internal Structure
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Author : Patrizia Trovalusci
language : en
Publisher: Springer
Release Date : 2015-10-17
Materials With Internal Structure written by Patrizia Trovalusci and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-17 with Science categories.
The book presents a series of concise papers by researchers specialized in various fields of continuum and computational mechanics and of material science. The focus is on principles and strategies for multiscale modeling and simulation of complex heterogeneous materials, with periodic or random microstructure, subjected to various types of mechanical, thermal, chemical loadings and environmental effects. A wide overview of complex behavior of materials (plasticity, damage, fracture, growth, etc.) is provided. Among various approaches, attention is given to advanced non-classical continua modeling which, provided by constitutive characterization for the internal and external actions (in particular boundary conditions), is a very powerful frame for the gross mechanical description of complex material behaviors, able to circumvent the restrictions of classical coarse–graining multiscale approaches.
Fluids And Periodic Structures
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Author : Carlos Conca
language : en
Publisher: John Wiley & Sons
Release Date : 1995
Fluids And Periodic Structures written by Carlos Conca and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Fluid dynamics categories.
The main emphasis of this book lies in understanding the vibrations of fluid-solid structures, in which mechanical bodies interact with a surrounding fluid. Deriving models representing these vibrations and validating them are principal aims, as is the study of their asymptotic behaviour. For the last 20 years or so, homogenization methods have proved to be powerful tools for studying such heterogeneous media. Some of the classical ones today are multiple scale expansions and energy methods and its variants. The authors introduce here a non-standard homogenization technique and apply it to the class of eigenvalue problem alluded to above. It is based on the so-called Bloch wave decomposition, a technique that is often used in physics. This volume also includes a systematic presentation of two-scale convergence analysis which is a mdoern approach to treat homogenization problems.
Applied Impact Mechanics
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Author : C. Lakshmana Rao
language : en
Publisher: John Wiley & Sons
Release Date : 2016-06-13
Applied Impact Mechanics written by C. Lakshmana Rao and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-13 with Science categories.
This book is intended to help the reader understand impact phenomena as a focused application of diverse topics such as rigid body dynamics, structural dynamics, contact and continuum mechanics, shock and vibration, wave propagation and material modelling. It emphasizes the need for a proper assessment of sophisticated experimental/computational tools promoted widely in contemporary design. A unique feature of the book is its presentation of several examples and exercises to aid further understanding of the physics and mathematics of impact process from first principles, in a way that is simple to follow.
Mechanics Of Non Holonomic Systems
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Author : Sh.Kh Soltakhanov
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-05-27
Mechanics Of Non Holonomic Systems written by Sh.Kh Soltakhanov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-05-27 with Technology & Engineering categories.
A general approach to the derivation of equations of motion of as holonomic, as nonholonomic systems with the constraints of any order is suggested. The system of equations of motion in the generalized coordinates is regarded as a one vector relation, represented in a space tangential to a manifold of all possible positions of system at given instant. The tangential space is partitioned by the equations of constraints into two orthogonal subspaces. In one of them for the constraints up to the second order, the motion low is given by the equations of constraints and in the other one for ideal constraints, it is described by the vector equation without reactions of connections. In the whole space the motion low involves Lagrangian multipliers. It is shown that for the holonomic and nonholonomic constraints up to the second order, these multipliers can be found as the function of time, positions of system, and its velocities. The application of Lagrangian multipliers for holonomic systems permits us to construct a new method for determining the eigenfrequencies and eigenforms of oscillations of elastic systems and also to suggest a special form of equations for describing the system of motion of rigid bodies. The nonholonomic constraints, the order of which is greater than two, are regarded as programming constraints such that their validity is provided due to the existence of generalized control forces, which are determined as the functions of time. The closed system of differential equations, which makes it possible to find as these control forces, as the generalized Lagrange coordinates, is compound. The theory suggested is illustrated by the examples of a spacecraft motion. The book is primarily addressed to specialists in analytic mechanics.
Approximate Models Of Mechanics Of Composites
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Author : Igor V. Andrianov
language : en
Publisher: CRC Press
Release Date : 2023-06-20
Approximate Models Of Mechanics Of Composites written by Igor V. Andrianov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-20 with Science categories.
1) Provides analytical solutions based on a three-phase model for composites of various structures 2) Identifies computational models to solve problems within all applications of composite materials 3) Constructs higher approximations of the Maxwell formula 4) Proposes efficient analytical algorithms ensuring reliable computational analysis