Foundations Of Classical Laminate Theory

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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.

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Genre : Technology & Engineering
Author : Andreas Öchsner
Publisher : Springer Nature
Release : 2021-09-28
File : 130 Pages
ISBN-13 : 9783030826314


A Simplified Approach To The Classical Laminate Theory Of Composite Materials

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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.

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Genre : Science
Author : Andreas Öchsner
Publisher : Springer Nature
Release : 2023-09-19
File : 132 Pages
ISBN-13 : 9783031381928


A Numerical Approach To The Classical Laminate Theory Of Composite Materials

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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.

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Genre : Technology & Engineering
Author : Andreas Öchsner
Publisher : Springer Nature
Release : 2023-07-07
File : 181 Pages
ISBN-13 : 9783031329753


Foundations Of Classical Laminate Theory

eBook Download

BOOK EXCERPT:

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.

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Genre :
Author : Andreas Öchsner
Publisher :
Release : 2021
File : 0 Pages
ISBN-13 : 3030826325


Lectures Notes On Advanced Structured Materials

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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.

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Genre : Technology & Engineering
Author : Holm Altenbach
Publisher : Springer Nature
Release : 2022-12-02
File : 370 Pages
ISBN-13 : 9783031115899


A Numerical Approach To The Micromechanics Of Fibre Reinforced Laminae

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Genre :
Author : Andreas Öchsner
Publisher : Springer Nature
Release :
File : 105 Pages
ISBN-13 : 9783031674884


Shell Based Peridynamics For The Modelling Of Isotropic And Composite Structures

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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.

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Genre : Science
Author : Ruqing Bai
Publisher : Cambridge Scholars Publishing
Release : 2024-04-25
File : 210 Pages
ISBN-13 : 9781036404857


Fundamentals Of Fibre Reinforced Composite Materials

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Fibre reinforced composite materials are showing sustained growth in an ever widening range of applications from food trays to spacecraft as well as contributing to resolving environmental problems, including enabling the forthcoming hydrogen economy to be realised. This second edition of Fundamentals of Fibre Reinforced Composite Materials has been fully updated throughout, providing an authoritative and modern introduction to the topic with a brief history of composite development, a review of composite applications, manufacture and markets, types of fibres and matrices used, and their properties with a detailed introduction into the computer simulation of composite behaviour. With extensive sets of sample problems accompanying each chapter, this book is ideally suited to undergraduate and graduate students of materials science, structural, mechanical, and aeronautical engineering, polymer science, metallurgy, and other courses. It will also be of use as a reference to researchers and engineers working with composite materials and material scientists in general. Features: Presents thorough discussions on composite history, composite applications and markets, types of fibres and resins used, and their respective properties Relates mathematical concepts to the structure of the material under discussion leading to the quantitative evaluation of safety factors Provides numerous sets of sample problems in each chapter

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Genre : Technology & Engineering
Author : A.R. Bunsell
Publisher : CRC Press
Release : 2021-03-23
File : 376 Pages
ISBN-13 : 9780429680946


Marine Composites

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Marine Composites: Design and Performance presents up-to-date information and recent research findings on the application and use of advanced fibre-reinforced composites in the marine environment. Following the success of their previously published title: Marine Applications of Advanced Fibre-reinforced Composites which was published in 2015; this exemplary new book provides comprehensive information on materials selection, characterization, and performance. There are also dedicated sections on sandwich structures, manufacture, advanced concepts, naval architecture and design considerations, and various applications. The book will be an essential reference resource for designers, materials engineers, manufactures, marine scientists, mechanical engineers, civil engineers, coastal engineers, boat manufacturers, offshore platform and marine renewable design engineers. - Presents a unique, high-level reference on composite materials and their application and use in marine structures - Provides comprehensive coverage on all aspects of marine composites, including the latest advances in damage modelling and assessment of performance - Contains contributions from leading experts in the field, from both industry and academia - Covers a broad range of naval, offshore and marine structures

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Genre : Technology & Engineering
Author : Richard Pemberton
Publisher : Woodhead Publishing
Release : 2018-08-20
File : 530 Pages
ISBN-13 : 9780081019139


Introduction To Mechanics Of Solid Materials

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Introduction to Mechanics of Solid Materials is concerned with the deformation, flow, and fracture of solid materials. This textbook offers a unified presentation of the major concepts in Solid Mechanics for junior/senior-level undergraduate students in the many branches of engineering - mechanical, materials, civil, and aeronautical engineering among others. The book begins by covering the basics of kinematics and strain, and stress and equilibrium, followed by a coverage of the small deformation theories for different types of material response: (i) Elasticity; (ii) Plasticity and Creep; (iii) Fracture and Fatigue; and (iv) Viscoelasticity. The book has additional chapters covering the important material classes of: (v) Rubber Elasticity, and (vi) Continuous-fiber laminated composites. The text includes numerous examples to aid the student. A substantial companion volume with example problems is available free of charge on the book's companion website.

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Genre : Science
Author : Lallit Anand
Publisher : Oxford University Press
Release : 2022-10-31
File : 593 Pages
ISBN-13 : 9780192866073