Foundations Of Classical Laminate Theory
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Foundations Of Classical Laminate Theory
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Author : Andreas Öchsner
language : en
Publisher:
Release Date : 2021
Foundations Of Classical Laminate Theory written by Andreas Öchsner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
This book provides a systematic and thorough introduction to the classical laminate theory based on the theory for plane elasticity elements and classical (shear-rigid) plate elements. It focus on unidirectional lamina which can be described based on orthotropic constitutive equations and their composition to layered laminates. In addition to the elastic behavior, failure is investigated based on the maximum stress, maximum strain, Tsai-Hill and the Tsai-Wu criteria.
Foundations Of Classical Laminate Theory
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Author : Andreas Öchsner
language : en
Publisher: Springer Nature
Release Date : 2021-09-28
Foundations Of Classical Laminate Theory written by Andreas Öchsner and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-28 with Technology & Engineering categories.
This book provides a systematic and thorough introduction to the classical laminate theory based on the theory for plane elasticity elements and classical (shear–rigid) plate elements. It focus on unidirectional lamina which can be described based on orthotropic constitutive equations and their composition to layered laminates. In addition to the elastic behavior, failure is investigated based on the maximum stress, maximum strain, Tsai–Hill and the Tsai–Wu criteria.
A Simplified Approach To The Classical Laminate Theory Of Composite Materials
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Author : Andreas Öchsner
language : en
Publisher: Springer Nature
Release Date : 2023-09-19
A Simplified Approach To The Classical Laminate Theory Of Composite Materials written by Andreas Öchsner and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-19 with Science categories.
This book provides a systematic introduction to composite materials, which are obtained by a layer-wise stacking of one-dimensional bar/beam elements. Each layer may have different mechanical properties but each single layer is considered as isotropic. The major idea is to provide a simplified theory to easier understand the classical two-dimensional laminate theory for composites based on laminae with unidirectional fibers. In addition to the elastic behavior, failure is investigated based on the maximum stress, maximum strain, Tsai-Hill, and the Tsai-Wu criteria. Partial differential equations lay the foundation to mathematically describe the mechanical behavior of any classical structural member known in engineering mechanics, including composite materials. The so-called classical laminate theory provides a simplified stress analysis, and a subsequent failure analysis, without the solution of the system of coupled differential equations for the unknown displacements. The procedure provides the solution of a statically indeterminate system based on a generalized stress–strain relationship under consideration of the constitutive relationship and the definition of the so-called stress resultants. This laminate theory is typically provided for two-dimensional plane problems, where the basic structural element is a simple superposition of a classical plane elasticity element with a thin plate element under the consideration of an orthotropic constitutive law. This two-dimensional approach and the underlying advanced continuum mechanical modeling might be very challenging for some students, particularly at universities of applied sciences. Thus, a reduced approach, the so-called simplified classical laminate theory, has been developed. The idea is to use solely isotropic one-dimensional elements, i.e., a superposition of bar and beam elements, to introduce the major calculation steps of the classical laminate theory. Understanding this simplified theory is much easier and the final step it to highlight the differences when moving to the general two-dimensional case.
A Numerical Approach To The Classical Laminate Theory Of Composite Materials
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Author : Andreas Öchsner
language : en
Publisher: Springer Nature
Release Date : 2023-07-07
A Numerical Approach To The Classical Laminate Theory Of Composite Materials written by Andreas Öchsner and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-07 with Technology & Engineering categories.
This book first provides a systematic and thorough introduction to the classical laminate theory for composite materials based on the theory for plane elasticity elements and classical (shear-rigid) plate elements. The focus is on unidirectional lamina which can be described based on orthotropic constitutive equations and their composition to layered laminates. In addition to the elastic behavior, failure is investigated based on the maximum stress, maximum strain, Tsai-Hill, and the Tsai-Wu criteria. The solution of the fundamental equations of the classical laminate theory is connected with extensive matrix operations, and many problems require in addition iteration loops. Thus, a classical hand calculation of related problems is extremely time consuming. In order to facilitate the application of the classical laminate theory, we decided to provide a Python-based computational tool, the so-called Composite Laminate Analysis Tool (CLAT) to easily solve some standard questions from the context of fiber-reinforced composites. The tool runs in any standard web browser and offers a user-friendly interface with many post-processing options. The functionality comprises stress and strain analysis of lamina and laminates, derivation of off-axis elastic properties of lamina, and the failure analysis based on different criteria.
Lectures Notes On Advanced Structured Materials
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Author : Holm Altenbach
language : en
Publisher: Springer Nature
Release Date : 2022-12-02
Lectures Notes On Advanced Structured Materials written by Holm Altenbach and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-02 with Technology & Engineering categories.
The book on advanced structured materials is designed to facilitate teaching and informal discussion in a supportive and friendly environment. The book provides a forum for postgraduate students to present their research results and train their presentation and discussion skills. Furthermore, it allows for extensive discussion of current research being conducted in the wider area of advanced structured materials. Doing so, it builds a wider postgraduate community and offers networking opportunities for early career researchers. In addition to focused lectures, the book provides specialized teaching/overview lectures from experienced senior academics. The 2022 Postgraduate Seminar entitled “Advanced Structured Materials: Development - Manufacturing - Characterization – Applications” was held from February 28th till March 4th, 2022, in Malta. The book that presented postgraduate lectures had a strong focus on polymer mechanics, composite materials, and additive manufacturing.
A Numerical Approach To The Micromechanics Of Fibre Reinforced Laminae
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Author : Andreas Öchsner
language : en
Publisher: Springer Nature
Release Date : 2024-10-10
A Numerical Approach To The Micromechanics Of Fibre Reinforced Laminae written by Andreas Öchsner and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-10 with Science categories.
This book treats the micromechanics of laminae, i.e., the prediction of the macroscopic mechanical lamina properties based on the mechanical properties of the constituents, i.e., fibers and matrix. The focus is on unidirectional lamina which can be described based on orthotropic constitutive equations. In detail, predictions for the modulus of elasticity in and transverse to the fiber direction, the major Poisson’s ratio, as wells as the in-plane shear modulus are provided. The mechanics of materials approach, the elasticity solutions with contiguity after Tsai, and the Halpin-Tsai relationships, are presented in detail. Composite materials, especially fiber-reinforced composites, are gaining increasing importance since they can overcome the limits of many structures based on classical engineering materials. Particularly the combination of a matrix with fibers provides far better properties than the single constituents alone. A typical basic layer, the so-called lamina, can be composed of unidirectional fibers which are embedded in a matrix. In a second step, layers of laminae may be stacked under different fiber angles to a so-called laminate, which reveals—depending on the stacking sequence—different types of anisotropy/isotropy. A Python-based computational tool is provided, the so-called Micromechanics Analysis Tool (MMAT v1.0) to easily predict the elastic properties. The tool runs in any standard web browser and offers a user-friendly interface with many graphical representations of the elastic properties as a function of the fiber volume fraction.
Shell Based Peridynamics For The Modelling Of Isotropic And Composite Structures
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Author : Ruqing Bai
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2024-04-25
Shell Based Peridynamics For The Modelling Of Isotropic And Composite Structures written by Ruqing Bai and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-25 with Science categories.
Unveiling improvements in the nonlocal theory of the Peridynamics, this book brings recent developments and new extensions to the standard Peridynamic method, making it capable of solving shell-like structures, while keeping its character of a strong formulation based on the interactions between pairs of material points, called “Peridynamic bonds”. The proposed formulation is a natural extension of the standard continuum Peridynamics, allowing thin structures to be modelled using only one layer of particles at the mid-surface of the structure, contrary to the standard continuum Peridynamics. The book navigates the mechanics formulation of the Peridynamic Timoshenko beam and Reissner-Mindlin plate and presents breakthrough strategies for shear-locking in thin structures. Enhanced methods are introduced for analysing fibre-reinforced composites, offering precision in predicting damage patterns in composite structures when subjected to low and moderate velocity impacts.
Composite Mechanics
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Author : Andreas Öchsner
language : en
Publisher: Springer Nature
Release Date : 2023-08-03
Composite Mechanics written by Andreas Öchsner and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-03 with Science categories.
This book in the advanced structured materials series provides first an introduction to the mircomechanics of fiber-reinforced laminae, which deals with the prediction of the macroscopic mechanical lamina properties based on the mechanical properties of the constituents, i.e., fibers and matrix. Composite materials, especially fiber-reinforced composites, are gaining increasing importance since they can overcome the limits of many structures based on classical metals. Particularly, the combination of a matrix with fibers provides far better properties than the constituents alone. Despite their importance, many engineering degree programs do not treat the mechanical behavior of this class of advanced structured materials in detail, at least on the bachelor’s degree level. Thus, some engineers are not able to thoroughly apply and introduce these modern engineering materials in their design process. The second part of this book provides a systematic and thorough introduction to the classical laminate theory based on the theory for plane elasticity elements and classical (shear-rigid) plate elements. The focus is on unidirectional lamina which can be described based on orthotropic constitutive equations and their composition to layered laminates. In addition to the elastic behavior, failure is investigated based on the maximum stress, maximum strain, Tsai-Hill, and the Tsai-Wu criteria. The introduced classical laminate theory provides a simplified stress analysis, and a subsequent failure analysis, without the solution of the system of coupled differential equations for the unknown displacements in the three coordinate directions. The book concludes with a short introduction to a calculation program, the so-called Composite Laminate Analysis Tool (CLAT), which allows the application of the classical laminate based on a sophisticated Python script.
Micromechanics Of Fiber Reinforced Laminae
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Author : Andreas Öchsner
language : en
Publisher: Springer Nature
Release Date : 2022-01-11
Micromechanics Of Fiber Reinforced Laminae written by Andreas Öchsner and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-11 with Science categories.
This book provides an introduction to the micromechanics of fiber-reinforced laminae, which deals with the prediction of the macroscopic mechanical lamina properties based on the mechanical properties of the constituents, i.e., fibers and matrix. Composite materials, especially fiber-reinforced composites, are gaining increasing importance since they can overcome the limits of many structures based on classical metals. Particularly, the combination of a matrix with fibers provides far better properties than the components alone. Despite their importance, many engineering degree programs do not treat the mechanical behavior of this class of advanced structured materials in detail, at least on the Bachelor degree level. Thus, some engineers are not able to thoroughly apply and introduce these modern engineering materials in their design process. The focus is on unidirectional lamina which can be described based on orthotropic constitutive equations. Three classical approaches to predict the elastic properties, i.e., the mechanics of materials approach, the elasticity solutions with contiguity after Tsai, and the Halpin–Tsai relationships, are presented. The quality of each prediction is benchmarked based on two different sets of experimental values. The book concludes with optimized representations, which were obtained based on the least square approach for the used experimental data sets.
Design Analysis And Manufacturing Of Lightweight Composite Structures
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Author : Hamid Dalir
language : en
Publisher: CRC Press
Release Date : 2024-02-16
Design Analysis And Manufacturing Of Lightweight Composite Structures written by Hamid Dalir and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-16 with Technology & Engineering categories.
Design, Analysis, and Manufacturing of Lightweight Composite Structures provides a thorough guide to composite materials and their applications, suitable for students of all levels, as well as those in the industry. Covering established theory as well as cutting-edge developments in the field, this book is an essential companion to anyone interested in composite materials. Discussing the mechanical properties of advanced composites and their materials, this book describes testing and evaluation, focusing on sustainability in manufacturing. Looking at how composite materials can form structural components, this book is centered around how to design and analyze these materials as appropriate to different applications. It discusses micromechanics, stiffness matrices, and numerical calculations using MATLABR, Excel, and Python. It also covers failure, applied forces, strain, and stress, alongside finite element analysis of composites. This book is suitable for students and researchers in the field of composites, mechanical design, micromechanics, mechanics of solids, and material science. It also has relevance to the automotive industry.